The Institute of Mathematics,Anhui Normal University
5600
Selected Publications
Journal Articles
Shan-Shan Liu, Mao-An Han (2026). A new method to produce limit cycles in a near-Hamiltonian system. Chaos.DOI
Mao-An Han, Wen-Wen Hou, Wenye Liu (2026). GLOBAL DYNAMICS OF A POLYNOMIAL LIÉNARD SYSTEM. Journal of Applied Analysis & Computation.DOI
Mao-An Han, Jun-Hong Chen (2026). Bifurcation of limit cycles of a class of near-Hamiltonian systems near a degenerate center. Chaos, Solitons & Fractals.DOI
Mei-Lan Cai, Mao-An Han (2026). Finding Limit Cycles Near A Double Heteroclinic Loop on the Cylinder. Qualitative Theory of Dynamical Systems.DOI
Dekai Zhu, Mao-An Han (2026). The Maximum Number of Limit Cycles in Hopf Bifurcation of a Piecewise Smooth Liénard System. Qualitative Theory of Dynamical Systems.DOI
Jun-Min Yang, Mao-An Han (2026). Bifurcation of limit cycles near a cuspidal loop by higher-order analysis. Bulletin des Sciences Mathématiques.DOI
Wen-Wen Hou, Mao-An Han (2025). Limit cycle bifurcations in a class of piecewise Hamiltonian systems. Communications in nonlinear science & numerical simulation.DOI
Lijun Wei, Mao-An Han, Ji-Long He, Xiang Zhang (2025). LIMIT CYCLES NEAR A NILPOTENT CENTRE AND A HOMOCLINIC LOOP TO A NILPOTENT SINGULARITY OF HAMILTONIAN SYSTEMS. Canadian Journal of Mathematics - Journal Canadien de Mathematiques.DOI
Xian-Bo Sun, Yun Tian, Mao-An Han (2025). Homoclinic bifurcation near a loop tangent to an invariant straight line. Journal of Differential Equations.DOI
Mao-An Han, Ai Ke (2025). ON SYMMETRY PROPERTY OF CENTER MANIFOLDS OF DIFFERENTIAL SYSTEMS. Journal of Applied Analysis & Computation.DOI
Feng Liang, Mao-An Han (2025). Expansion coefficients and their relation for Melnikov functions near polycycles. Journal of Differential Equations.DOI
Xiaoyan Chen, Mao-An Han (2025). The Number of Limit Cycles Bifurcating from a Piecewise-Linear Hamiltonian System with a Saddle. International Journal of Bifurcation and Chaos in Applied Sciences and Engineering.DOI
Pei Yu, Yan-Ni Zeng, Mao-An Han (2025). Determining codimension of Bogdanov-Takens and Bautin bifurcations via simplest normal form computation.
Mao-An Han, Zening Lai (2025). On Hopf Bifurcation in Piecewise Smooth Near-Hamiltonian Systems. Qualitative Theory of Dynamical Systems.DOI
Ai Ke, Mao-An Han (2025). Hopf bifurcation of three-dimensional systems with parameters. Journal of Differential Equations.DOI
Mao-An Han, Yanan Ye (2024). On the stability of periodic solutions of piecewise smooth periodic differential equations. Acta Mathematica Scientia.DOI
韩茂安(2024). 平面系统的Hopf分支理论. 《四川师范大学学报(自然科学版)》.
Mao-An Han, Shanshan Liu (2024). Hopf bifurcation in a class of piecewise smooth near-Hamiltonian systems. Bulletin des Sciences Mathématiques.DOI
Shanshan Liu, Mao-An Han (2024). Bifurcation theory of limit cycles by higher order Melnikov functions and applications. Journal of Differential Equations.DOI
Mei-Lan Cai, Mao-An Han (2024). Limit cycle bifurcations near a double 2-polycycle on the cylinder. Communications in nonlinear science & numerical simulation.DOI
Ji-Bin Li, Mao-An Han, Ai Ke (2024). Bifurcations and exact traveling wave solutions of the Khorbatly's geophysical Boussinesq system. Journal of Mathematical Analysis and Applications.DOI
Wenye Liu, Mao-An Han (2024). Bifurcations of traveling wave solutions of a generalized Burgers–Fisher equation. Journal of Mathematical Analysis and Applications.DOI
Mao-An Han, Xia-Yu Zhou (2024). On Stability Discrimination of Limit Cycles for Piecewise Smooth Systems. Acta Mathematica Sinica. English series.DOI
Wen-Wen Hou, Mao-An Han (2024). Melnikov functions and limit cycle bifurcations for a class of piecewise Hamiltonian systems. AIMS Mathematics.DOI
Shanshan Liu, Mao-An Han (2024). Homoclinic and heteroclinic bifurcations in piecewise smooth systems via stability-changing method. Computational and Applied Mathematics.DOI
Muhammad Marwan, Mao-An Han, Yan-Fei Dai, Mei-Lan Cai (2024). THE IMPACT OF GLOBAL DYNAMICS ON THE FRACTALS OF A QUADROTOR UNMANNED AERIAL VEHICLE (QUAV) CHAOTIC SYSTEM. Fractals.DOI
Jun-Min Yang, Mao-An Han (2024). Limit cycles near a compound cycle in a near-Hamiltonian system with smooth perturbations. Chaos, Solitons & Fractals.DOI
Jun-Min Yang, Mao-An Han (2023). Some properties of Melnikov functions near a cuspidal loop. Science China Mathematics.DOI
Muhammad Marwan, Anda Xiong, Mao-An Han, R. Khan (2023). Chaotic Behavior of Lorenz-Based Chemical System under the Influence of Fractals. Match-communications in Mathematical and in Computer Chemistry.DOI
Wei-Jian Geng, Mao-An Han, Yun Tian, Ai Ke (2023). Heteroclinic bifurcation of limit cycles in perturbed cubic Hamiltonian systems by higher-order analysis. Journal of Differential Equations.DOI
Mao-An Han, Jun-Min Yang, Ji-Bin Li (2023). General study on limit cycle bifurcation near a double homoclinic loop. Journal of Differential Equations.DOI
Mao-An Han, Guanrong Chen, Ji-Bin Li (2023). Bifurcations and Exact Traveling Wave Solutions of the Generalized Serre-Green-Naghdi System with Weak Coriolis Effect and Surface Tension. International Journal of Bifurcation and Chaos in Applied Sciences and Engineering.DOI
Shanshan Liu, Mao-An Han (2023). Limit cycle bifurcations near double homoclinic and double heteroclinic loops in piecewise smooth systems. Chaos, Solitons & Fractals.DOI
Muhammad Marwan, Mao-An Han, Mawia Osman (2023). HIDDEN COVERS (WINGS) IN THE FRACTALS OF CHAOTIC SYSTEMS USING ADVANCED JULIA FUNCTION. Fractals.DOI
Jiang-Bin Chen, Mao-An Han (2023). Bifurcation of Limit Cycles by Perturbing Piecewise Linear Hamiltonian Systems with Piecewise Polynomials. International Journal of Bifurcation and Chaos in Applied Sciences and Engineering.DOI
Yanfei Dai, Min-Zhi Wei, Mao-An Han (2023). Existence of Periodic Waves in a Perturbed Generalized BBM Equation. International Journal of Bifurcation and Chaos in Applied Sciences and Engineering.DOI
韩茂安(2022). 数学研究与论文写作指导(第二版). 《科学出版社》.
韩茂安(2022). 关于研究生课程数学写作指导的教学探索. 《大学数学》.
Ai Ke, Mao-An Han, Wei-Jian Geng (2022). The number of limit cycles from the perturbation of a quadratic isochronous system with two switching lines. Communications on Pure & Applied Analysis.DOI
Bing Zeng, P. Yu, Mao-An Han (2022). An efficient solution procedure for solving higher-codimension Hopf and Bogdanov-Takens bifurcations. Communications in nonlinear science & numerical simulation.DOI
Shuhua Gong, Mao-An Han (2022). An estimate of the number of limit cycles bifurcating from a planar integrable system. Bulletin des Sciences Mathématiques.DOI
Wenye Liu, Mao-An Han (2022). Limit cycle bifurcations of near-Hamiltonian systems with multiple switching curves and applications. Discrete & Continuous Dynamical Systems - S.DOI
Mao-An Han, Guanrong Chen, Ji-Bin Li (2022). Periodic Peakons and Compacton Families of the Hirota-Type Peakon Equation. International Journal of Bifurcation and Chaos in Applied Sciences and Engineering.DOI
Mei-Lan Cai, Mao-An Han (2022). The Number of Limit Cycles for a Class of Cubic Systems with Multiple Parameters. International Journal of Bifurcation and Chaos in Applied Sciences and Engineering.DOI
Jiang-Bin Chen, Mao-An Han (2022). Bifurcation of Limit Cycles by Perturbing a Piecewise Linear Hamiltonian System. Qualitative Theory of Dynamical Systems.DOI
Zhen Yuan, Ai Ke, Mao-An Han (2022). On the number of limit cycles of a class of Liénard-Rayleigh oscillators. Physica A: Statistical Mechanics and its Applications.DOI
Ji-Bin Li, Mao-An Han (2022). PLANAR INTEGRABLE NONLINEAR OSCILLATORS HAVING A STABLE LIMIT CYCLE. Journal of Applied Analysis & Computation.DOI
Mei-Lan Cai, Mao-An Han (2022). The number of limit cycles for some polynomial systems with multiple parameters. Journal of Mathematical Analysis and Applications.DOI
Feng Liang, Mao-An Han, Chaoyuan Jiang (2021). Limit Cycle Bifurcations of a Planar Near-Integrable System with Two Small Parameters. Acta Mathematica Scientia.DOI
Xiaoyang Chen, Mao-An Han (2021). Number of Limit Cycles from a Class of Perturbed Piecewise Polynomial Systems. International Journal of Bifurcation and Chaos in Applied Sciences and Engineering.DOI
Yan-Qin Xiong, Mao-An Han, Dong-Mei Xiao (2021). The maximal number of limit cycles bifurcating from a Hamiltonian triangle in quadratic systems.DOI
Min Li, Mao-An Han (2021). On the number of limit cycles of a quartic polynomial system. Discrete and Continuous Dynamical Systems. Series A.DOI
Mei-Lan Cai, Mao-An Han (2021). Limit Cycle Bifurcations in a Class of Piecewise Smooth Polynomial Systems. International Journal of Bifurcation and Chaos in Applied Sciences and Engineering.DOI
Yun Tian, Xinyu Shang, Mao-An Han (2021). Bifurcation of limit cycles in a piecewise smooth near-integrable system.DOI
Xiaoyang Chen, Mao-An Han (2021). Further study on Horozov-Iliev’s method of estimating the number of limit cycles. Science China Mathematics.DOI
Ai Ke, Mao-An Han (2021). Limit Cycles from Perturbing a Piecewise Smooth System with a Center and a Homoclinic Loop. International Journal of Bifurcation and Chaos in Applied Sciences and Engineering.DOI
Jun-Min Yang, P. Yu, Mao-An Han (2021). On the Melnikov functions and limit cycles near a double homoclinic loop with a nilpotent saddle of order mˆ.DOI
Mei-Lan Cai, Mao-An Han (2021). Limit cycle bifurcations in a class of piecewise smooth cubic systems with multiple parameters. Communications on Pure and Applied Analysis.DOI
Yi-Xia Shi, Mao-An Han, Li-Jun Zhang (2021). Homoclinic bifurcation of limit cycles in near-Hamiltonian systems on the cylinder. Journal of Differential Equations.DOI
Yan-Qin Xiong, Mao-An Han (2021). Limit cycles appearing from a generalized heteroclinic loop with a cusp and a nilpotent saddle. Journal of Differential Equations.DOI
Lijuan Sheng, Shan-Shan Wang, Xueli Li, Mao-An Han (2020). Bifurcation of periodic orbits of periodic equations with multiple parameters by averaging method.DOI
Xiaoyan Chen, Mao-An Han (2020). A Linear Estimate of the Number of Limit Cycles for A Piecewise Smooth Near-Hamiltonian System. Qualitative Theory of Dynamical Systems.DOI
Yi-Xia Shi, Mao-An Han (2020). Existence of generalized homoclinic solutions for a modified Swift-Hohenberg equation. Discrete and Continuous Dynamical Systems. Series A.DOI
Mao-An Han, J. Llibre, Yun Tian (2020). On the Zero-Hopf Bifurcation of the Lotka–Volterra Systems in
R
3. Mathematics.DOI
Mao-An Han, Jun-Min Yang (2020). The Dynamics of a Kind of Liénard System with Sixth Degree and Its Limit Cycle Bifurcations Under Perturbations. Qualitative Theory of Dynamical Systems.DOI
Shan-Shan Liu, Mao-An Han, Ji-Bin Li (2020). Bifurcation methods of periodic orbits for piecewise smooth systems.DOI
Mao-An Han, T. Petek, V. Romanovski (2020). On Some Symmetries of Quadratic Systems. Symmetry.DOI
P. Yu, Mao-An Han, Wen-Jing Zhang (2020). MULTIPLE RECURRENT OUTBREAK CYCLES IN AN AUTONOMOUS EPIDEMIOLOGICAL MODEL DUE TO MULTIPLE LIMIT CYCLE BIFURCATION.DOI
Ji-Bin Li, Mao-An Han (2020). EXACT PEAKON SOLUTIONS GIVEN BY THE GENERALIZED HYPERBOLIC FUNCTIONS FOR SOME NONLINEAR WAVE EQUATIONS.DOI
P. Yu, Mao-An Han, Xiang Zhang (2020). Eighteen limit cycles around two symmetric foci in a cubic planar switching polynomial system.DOI
Hong-Wei Shi, Yu-Zhen Bai, Mao-An Han (2020). On the maximum number of limit cycles for a piecewise smooth differential system.DOI
Shan-Shan Liu, Mao-An Han (2020). Bifurcation of limit cycles in a family of piecewise smooth systems via averaging theory. Discrete and Continuous Dynamical Systems. Series A.DOI
Mao-An Han, Shan-Shan Liu (2020). FURTHER STUDIES ON LIMIT CYCLE BIFURCATIONS FOR PIECEWISE SMOOTH NEAR-HAMILTONIAN SYSTEMS WITH MULTIPLE PARAMETERS$ ^* $.DOI
Yan-Qin Xiong, Mao-An Han (2020). Limit cycle bifurcations by perturbing a class of planar quintic vector fields. Journal of Differential Equations.DOI
Huanhuan Tian, Mao-An Han (2020). Limit cycle bifurcations of piecewise smooth near-Hamiltonian systems with a switching curve. Discrete & Continuous Dynamical Systems - B.DOI
Lijuan Sheng, Mao-An Han, Yun Tian (2020). On the Number of Limit Cycles Bifurcating from a Compound Polycycle. International Journal of Bifurcation and Chaos in Applied Sciences and Engineering.DOI
Mao-An Han (2020). On the Existence of Symmetric Periodic Solutions of a Differential Difference Equation.DOI
Li-Jun Zhang, Yi-Xia Shi, Mao-An Han (2020). Smooth and singular traveling wave solutions for the Serre-Green-Naghdi equations. Discrete and Continuous Dynamical Systems. Series A.DOI
Li-Jun Zhang, Mao-An Han, Ming-Ji Zhang, C. M. Khalique (2020). A New Type of Solitary Wave Solution of the mKdV Equation Under Singular Perturbations. International Journal of Bifurcation and Chaos in Applied Sciences and Engineering.DOI
Yan-Qin Xiong, Mao-An Han (2020). LIMIT CYCLE BIFURCATIONS IN DISCONTINUOUS PLANAR SYSTEMS WITH MULTIPLE LINES.DOI
Shuhua Gong, Mao-An Han (2020). Limit cycle bifurcations in a planar piecewise quadratic system with multiple parameters.DOI
Mao-An Han, Wen Lu (2020). Hopf bifurcation of limit cycles by perturbing piecewise integrable systems.DOI
Pan Liu, Mao-An Han (2020). Limit Cycle Bifurcations Near a Cuspidal Loop. Symmetry.DOI
Weijiao Xu, Mao-An Han (2020). Hopf Bifurcation of Limit Cycles in Some Piecewise Smooth Liénard Systems. International Journal of Bifurcation and Chaos in Applied Sciences and Engineering.DOI
Fang-Fang Jiang, Mao-An Han (2019). Qualitative Analysis of Crossing Limit Cycles in Discontinuous Liénard-Type Differential Systems.DOI
Jun-Min Yang, P. Yu, Mao-An Han (2019). Limit cycle bifurcations near a double homoclinic loop with a nilpotent saddle of order m. Journal of Differential Equations.DOI
Yun Tian, Mao-An Han, Fang-Fang Xu (2019). Bifurcations of small limit cycles in Liénard systems with cubic restoring terms. Journal of Differential Equations.DOI
Lijuan Sheng, Mao-An Han (2019). BIFURCATION OF LIMIT CYCLES FROM A COMPOUND LOOP WITH FIVE SADDLES. The Journal of Applied Analysis and Computation.DOI
Mao-An Han, H. Sun, Z. Balanov (2019). Upper estimates for the number of periodic solutions to multi-dimensional systems. Journal of Differential Equations.DOI
Mao-An Han, Li-Jun Zhang, Yue Wang, C. M. Khalique (2019). The effects of the singular lines on the traveling wave solutions of modified dispersive water wave equations. Nonlinear Analysis: Real world applications.DOI
Sheng-Lan Xie, Mao-An Han, Xuepeng Zhao (2019). Bifurcation of Periodic Orbits of a Three-Dimensional Piecewise Smooth System. Qualitative Theory of Dynamical Systems.DOI
Yan-Qin Xiong, Mao-An Han (2019). A Note on the Expansion of the First Order Melnikov Function Near a Class of 3-polycycle.DOI
P. Yu, Mao-An Han, Yu-Zhen Bai (2019). Dynamics and bifurcation study on an extended Lorenz system.DOI
韩茂安(2018). 数学研究与论文写作指导(普通高等教育十三五规划教材). 《科学出版社》.
刘姗姗,韩茂安(2018). 关于克莱罗方程的奇解与包络概念之拓展. 《大学数学》.
韩茂安(2018). 常微分方程基本问题与注释.
韩茂安(2018). 数学分析基本问题与注释 一元微分学研究式教学法探索与实践.
卢雯,韩茂安(2018). 一阶常微分方程比较定理的细化与改进. 《大学数学》.
韩茂安(2018). 常微分方程. 《高等教育出版社》.
韩茂安(2018). 数学分析基本问题与注释. 《科学出版社》.
Mao-An Han, J. Llibre, Jun-Min Yang (2018). On Uniqueness of Limit Cycles in General Bogdanov-Takens Bifurcation. International Journal of Bifurcation and Chaos in Applied Sciences and Engineering.DOI
Mao-An Han, Bing Xu, Huanhuan Tian, Yu-Zhen Bai (2018). On the Number of Periodic Solutions of Delay Differential Equations. International Journal of Bifurcation and Chaos in Applied Sciences and Engineering.DOI
Mao-An Han, Lijuan Sheng, Xiang Zhang (2018). Bifurcation theory for finitely smooth planar autonomous differential systems.DOI
Mao-An Han, T. Petek, V. Romanovski (2018). Reversibility in polynomial systems of ODE's. Applied Mathematics and Computation.DOI
He-Bai Chen, Mao-An Han, Yonghui Xia (2018). Limit cycles of a Liénard system with symmetry allowing for discontinuity. Journal of Mathematical Analysis and Applications.DOI
V. Romanovski, Mao-An Han, S. Maćešić, Yi-Lei Tang (2018). Dynamics of an autocatalator model.DOI
Wen-Tao Huang, V. Basov, Mao-An Han, V. Romanovski (2018). Bifurcation of critical periods of a quartic system.DOI
Mao-An Han, Xiao-Yan Hou, Lijuan Sheng, Chao-Yang Wang (2018). Theory of rotated equations and applications to a population model.DOI
P. Yu, Mao-An Han, Ji-Bin Li (2018). An Improvement on the Number of Limit Cycles Bifurcating from a Nondegenerate Center of Homogeneous Polynomial Systems. International Journal of Bifurcation and Chaos in Applied Sciences and Engineering.DOI
盛丽鹃,韩茂安(2017). 一维周期方程的周期解问题. 《中国科学:数学》.
Yun Tian, Mao-An Han (2017). Hopf and homoclinic bifurcations for near-Hamiltonian systems.DOI
Huanhuan Tian, Mao-An Han (2017). Bifurcation of periodic orbits by perturbing high-dimensional piecewise smooth integrable systems.DOI
B. Deng, Mao-An Han, Sze-Bi Hsu (2017). Numerical proof for chemostat chaos of Shilnikov's type. Chaos.DOI
Lijuan Sheng, Mao-An Han (2017). Periodic solutions of one dimensional $\bm{T}$-periodic differential\\ equations.DOI
Mao-An Han (2017). On the maximum number of periodic solutions of piecewise smooth periodic equations by average method.DOI
Yan-Qin Xiong, Mao-An Han, V. Romanovski (2017). The Maximal Number of Limit Cycles in Perturbations of Piecewise Linear Hamiltonian Systems with Two Saddles. International Journal of Bifurcation and Chaos in Applied Sciences and Engineering.DOI
Mao-An Han, V. Romanovski, Xiang Zhang (2016). Equivalence of the Melnikov Function Method and the Averaging Method.DOI
P. Yu, Mao-An Han, Dong-Mei Xiao (2016). Four small limit cycles around a Hopf singular point in 3-dimensional competitive Lotka–Volterra systems.DOI
Mao-An Han, V. Romanovski, Xiang Zhang (2016). INTEGRABILITY OF A FAMILY OF 2-DIM CUBIC SYSTEMS WITH DEGENERATE INFINITY.
Yan-Qin Xiong, Mao-An Han, Dong-Mei Xiao (2016). Limit cycle bifurcations by perturbing a quadratic integrable system with a triangle.DOI
Na Wang, Mao-An Han (2016). Relaxation oscillations in predator–prey model with distributed delay. Computational and Applied Mathematics.DOI
Na Wang, Mao-An Han (2016). Slow-fast dynamics of Hopfield spruce-budworm model with memory effects.DOI
Lijuan Sheng, Mao-An Han, V. Romanovsky (2016). On the Number of Limit Cycles by Perturbing a Piecewise Smooth Liénard Model. International Journal of Bifurcation and Chaos in Applied Sciences and Engineering.DOI
Feng Liang, Mao-An Han (2016). On the number of limit cycles in small perturbations of a piecewise linear Hamiltonian system with a heteroclinic loop. Chinese Annals of Mathematics. Series B.DOI
Yan-Qin Wang, Mao-An Han, D. Constantinescu (2016). On the limit cycles of perturbed discontinuous planar systems with 4 switching lines.DOI
Yan-Qin Xiong, Mao-An Han (2016). Planar quasi-homogeneous polynomial systems with a given weight degree.DOI
韩茂安(2015). 牛顿-莱布尼兹公式与泰勒公式的拓展与应用. 《大学数学》.
韩茂安,李继彬(2015). 关于解的延拓定理之注解. 《大学数学》.
Mao-An Han, Lijuan Sheng (2015). Bifurcation of limit cycles in piecewise smooth systems via Melnikov function.DOI
Na Li, Mao-An Han (2015). Critical Period Bifurcation by Perturbing a Reversible Rigidly Isochronous Center with Multiple Parameters. International Journal of Bifurcation and Chaos in Applied Sciences and Engineering.DOI
Y. An, Mao-An Han (2015). On the number of limit cycles near a homoclinic loop with a nilpotent singular point.DOI
Yan-Qin Xiong, Mao-An Han, Yong Wang (2015). Center Problems and Limit Cycle Bifurcations in a Class of Quasi-Homogeneous Systems. International Journal of Bifurcation and Chaos in Applied Sciences and Engineering.DOI
Yan-Qin Xiong, Mao-An Han (2015). Limit cycles near a homoclinic loop by perturbing a class of integrable systems.DOI
Yan-Qin Xiong, Mao-An Han (2015). Limit cycle bifurcations near homoclinic and heteroclinic loops via stability-changing of a homoclinic loop☆.DOI
Yuanyuan Liu, Mao-An Han, V. Romanovski (2015). Some Bifurcation Analysis in a Family of Nonsmooth Liénard Systems. International Journal of Bifurcation and Chaos in Applied Sciences and Engineering.DOI
Na Li, Mao-An Han, V. Romanovski (2015). Cyclicity of some Liénard Systems.DOI
Xian-Bo Sun, Mao-An Han (2015). On the number of limit cycles of a Z4-equivariant quintic near-Hamiltonian system. Acta Mathematica Sinica. English series.DOI
P. Yu, Mao-An Han (2015). Ten limit cycles around a center-type singular point in a 3-d quadratic system with quadratic perturbation. Applied Mathematics Letters.DOI
韩茂安(2014). 关于指数函数、对数函数与幂函数的教学探索. 《大学数学》.
Yan-Qin Wang, Mao-An Han (2014). Limit cycle bifurcations by perturbing a class of integrable systems with a polycycle.DOI
Feng Liang, Mao-An Han (2014). Stability and Limit Cycle Bifurcation for Two Kinds of Generalized Double Homoclinic Loops in Planar Piecewise Smooth Systems. International Journal of Bifurcation and Chaos in Applied Sciences and Engineering.DOI
Yan-Qin Xiong, Mao-An Han (2014). On the limit cycle bifurcation of a polynomial system from a global center.DOI
Yan-Qin Xiong, Mao-An Han (2014). Limit cycle bifurcations in a class of perturbed piecewise smooth systems. Applied Mathematics and Computation.DOI
Yan-Qin Xiong, Mao-An Han (2014). New lower bounds for the Hilbert number of polynomial systems of Liénard type.DOI
Mao-An Han, Yan-Qin Xiong (2014). Limit cycle bifurcations in a class of near-Hamiltonian systems with multiple parameters☆.DOI
Chao Liu, Mao-An Han (2014). Bifurcation of critical periods from the reversible rigidly isochronous centers.DOI
Yanan Jiang, Mao-An Han, Dong-Mei Xiao (2014). The Existence of Periodic Orbits and Invariant Tori for Some 3-Dimensional Quadratic Systems. TheScientificWorldJournal.DOI
Jian-He Shen, Mao-An Han (2014). Canard solution and its asymptotic approximation in a second-order nonlinear singularly perturbed boundary value problem with a turning point. Communications in nonlinear science & numerical simulation.DOI
Jun-Min Yang, Yan-Qin Xiong, Mao-An Han (2014). Limit cycle bifurcations near a 2-polycycle or double 2-polycycle of planar systems.DOI
Lian-Zhong Li, Mao-An Han, Yuanyuan Liu (2014). Existence and uniqueness of traveling wave front of a nonlinear singularly perturbed system of reaction–diffusion equations with a Heaviside step function☆.DOI
Mao-An Han, P. Yu, V. Romanovski, Tonghua Zhang (2014). Periodic Solutions and Asymptotic Analysis of Ordinary Differential Equations.DOI
Tonghua Zhang, Yepeng Xing, Hong Zang, Mao-An Han (2014). Spatio-temporal dynamics of a reaction-diffusion system for a predator–prey model with hyperbolic mortality. Nonlinear dynamics.DOI
Huanhuan Tian, Mao-An Han (2014). Limit Cycle Bifurcations by Perturbing a Compound Loop with a Cusp and a Nilpotent Saddle.DOI
Zhao-Ping Hu, Mao-An Han, V. Romanovski (2013). Local integrability of a family of three-dimensional quadratic systems☆.DOI
Yan-Qin Xiong, Mao-An Han (2013). Bifurcation of Limit Cycles by Perturbing a Piecewise Linear Hamiltonian System.DOI
Mao-An Han, Yun Tian, P. Yu (2013). Small-amplitude limit cycles of polynomial Liénard systems.DOI
Feng Liang, Mao-An Han (2013). The stability of some Kinds of generalized homoclinic Loops in Planar piecewise Smooth Systems. International Journal of Bifurcation and Chaos in Applied Sciences and Engineering.DOI
Jiamei Zhou, Na Li, Mao-An Han (2013). Critical Periods of Perturbations of Reversible Rigidly Isochronous Centers.DOI
P. Yu, Mao-An Han (2013). Eight Limit cycles around a Center in quadratic Hamiltonian System with Third-Order perturbation. International Journal of Bifurcation and Chaos in Applied Sciences and Engineering.DOI
Chao Liu, Mao-An Han (2013). The Number of Limit Cycles of a Polynomial System on the Plane.DOI
Fangyue Chen, Mao-An Han (2013). Dynamics of heteroclinic tangles with an unbroken saddle connection.DOI
P. Yu, Mao-An Han (2013). Bifurcation of limit cycles in 3rd-order Z2 Hamiltonian planar vector fields with 3rd-order perturbations. Communications in nonlinear science & numerical simulation.DOI
Guifeng Chang, Mao-An Han (2013). Bifurcation of Limit cycles by perturbing a periodic Annulus with Multiple Critical Points. International Journal of Bifurcation and Chaos in Applied Sciences and Engineering.DOI
Mao-An Han (2013). On some properties and limit cyclesof Lienard systems.DOI
Feng Liang, Mao-An Han, Xiang Zhang (2013). Bifurcation of limit cycles from generalized homoclinic loops in planar piecewise smooth systems.DOI
Mao-An Han (2013). Remarks on the center and focus problem for planar systems.
Jihua Wang, Dong-Mei Xiao, Mao-An Han (2013). The Number of zeros of Abelian integrals for a perturbation of Hyperelliptic Hamiltonian System with Degenerated Polycycle. International Journal of Bifurcation and Chaos in Applied Sciences and Engineering.DOI
Jian-He Shen, Mao-An Han (2013). Bifurcations of canard limit cycles in several singularly perturbedgeneralized polynomial Liénard systems.DOI
Yu-Hai Wu, Mao-An Han (2013). On the Number and Distributions of Limit cycles of a Planar quartic Vector Field. International Journal of Bifurcation and Chaos in Applied Sciences and Engineering.DOI
Xian-Bo Sun, Jing Su, Mao-An Han (2013). On the number of zeros of Abelian integral for some Liénard system of type (4, 3).DOI
Guifeng Chang, Tonghua Zhang, Mao-An Han (2013). On the number of limit cycles of a class of polynomial systems of Liénard type.DOI
Feng Liang, Mao-An Han (2012). Limit cycles near generalized homoclinic and double homoclinic loops in piecewise smooth systems.DOI
Mao-An Han, Jun-Min Yang, Dong-Mei Xiao (2012). Limit Cycle bifurcations Near a Double homoclinic Loop with a Nilpotent saddle. International Journal of Bifurcation and Chaos in Applied Sciences and Engineering.DOI
Feng Liang, Mao-An Han (2012). Degenerate Hopf bifurcation in nonsmooth Planar Systems. International Journal of Bifurcation and Chaos in Applied Sciences and Engineering.DOI
Jing Su, Jun-Min Yang, Mao-An Han (2012). Hopf bifurcation of LiéNard Systems by perturbing a Nilpotent Center. International Journal of Bifurcation and Chaos in Applied Sciences and Engineering.DOI
Mao-An Han, P. Yu (2012). Limit Cycles Near a Homoclinic or Heteroclinic Loop.DOI
Jun-Min Yang, Mao-An Han (2012). Computation of expansion coefficients of Melnikov functions near a nilpotent center. Computers and Mathematics with Applications.DOI
Mao-An Han, P. Yu (2012). Application (II)—Practical Problems.DOI
Mao-An Han, P. Yu (2012). Normal Forms, Melnikov Functions and Bifurcations of Limit Cycles.DOI
Mao-An Han, P. Yu (2012). Finding More Limit Cycles Using Melnikov Functions.DOI
Mao-An Han (2012). Asymptotic expansions of Melnikov Functions and Limit Cycle bifurcations. International Journal of Bifurcation and Chaos in Applied Sciences and Engineering.DOI
Dan Liu, Mao-An Han, Wei-Peng Zhang (2012). Bifurcations of 2-2-1 Heterodimensional cycles under Transversality condition. International Journal of Bifurcation and Chaos in Applied Sciences and Engineering.DOI
Mao-An Han, P. Yu (2012). Limit Cycle Bifurcations in Equivariant Systems.DOI
Mao-An Han, P. Yu (2012). Fundamental Theory of the Melnikov Function Method.DOI
Jian-He Shen, Mao-An Han (2012). Delayed bifurcation in First-Order singularly perturbed Problems with a Nongeneric turning Point. International Journal of Bifurcation and Chaos in Applied Sciences and Engineering.DOI
Hai-Yan Yao, Mao-An Han (2012). The number of limit cycles of a class of polynomial differential systems.DOI
Mao-An Han, Ji-Bin Li (2012). Lower bounds for the Hilbert number of polynomial systems.DOI
Mao-An Han, P. Yu (2012). Application (I)???Hilbert???s 16th Problem.DOI
Mao-An Han, P. Yu (2012). Hopf Bifurcation and Normal Form Computation.DOI
Mao-An Han, P. Yu (2012). Comparison of Methods for Computing Focus Values.DOI
Yan-Qin Xiong, Mao-An Han (2012). Hopf Bifurcation of Limit Cycles in Discontinuous Liénard Systems.DOI
Mao-An Han, V. Romanovski (2012). Isochronicity and normal forms of polynomial systems of ODEs. Journal of symbolic computation.DOI
Mao-An Han, P. Yu (2012). Limit Cycle Bifurcations Near a Center.DOI
Mao-An Han (2012). Center and focus problem and Hopf bifurcation for planar polynomial systems.DOI
Yan-Qin Xiong, Mao-An Han (2012). Hopf Bifurcation of Limit Cycles in.
Xian-Bo Sun, Mao-An Han, Jun-Min Yang (2011). Bifurcation of limit cycles from a heteroclinic loop with a cusp.DOI
Zhao-Ping Hu, Mao-An Han, V. Romanovski (2011). Bifurcations of planar Hamiltonian systems with impulsive perturbation. Applied Mathematics and Computation.DOI
Jun-Min Yang, Mao-An Han (2011). Limit cycle bifurcations of some Liénard systems with a cuspidal loop and a homoclinic loop.DOI
Mao-An Han, V. Romanovski (2011). Limit Cycle Bifurcations from a Nilpotent Focus or Center of Planar Systems.DOI
Mao-An Han (2011). Complement to a Proof of Discriminating Theorem on Center and Focus.
Jiao Li, Tonghua Zhang, Mao-An Han (2011). Bifurcation of limit cycles from a heteroclinic loop with two cusps.DOI
P. Yu, Mao-An Han (2011). A study on Zoladek's example.DOI
P. Yu, Mao-An Han (2011). \( {\small \bf Communication Letter:}\) Four limit cycles in quadratic near-integrable system.DOI
Yun Tian, Mao-An Han (2011). Hopf bifurcation for two types of Liénard systems.DOI
Pei-Pei Zuo, Mao-An Han (2011). Limit Cycle bifurcations of Two Kinds of Polynomial differential Systems. International Journal of Bifurcation and Chaos in Applied Sciences and Engineering.DOI
Xia Liu, Mao-An Han (2011). Chaos and Hopf bifurcation analysis for a two species predator–prey system with prey refuge and diffusion.DOI
Jun-Min Yang, Mao-An Han, Wenzhang Huang (2011). On Hopf bifurcations of piecewise planar Hamiltonian systems.DOI
Mao-An Han, V. Romanovski (2011). On the number of limit cycles of polynomial Liénard systems.DOI
P. Yu, Mao-An Han (2010). Four Limit cycles from perturbing quadratic integrable Systems by quadratic polynomials. International Journal of Bifurcation and Chaos in Applied Sciences and Engineering.DOI
Xia Liu, Mao-An Han (2010). Bifurcation of Limit Cycles by Perturbing Piecewise Hamiltonian Systems. International Journal of Bifurcation and Chaos in Applied Sciences and Engineering.DOI
Jiao Jiang, Mao-An Han (2010). Erratum to: “Small-amplitude limit cycles of some Lienard-type systems” [Nonlinear Anal. 71 (12) (2009) 6373–6377].DOI
Jun-Min Yang, Mao-An Han, Ji-Bin Li, P. Yu (2010). Existence Conditions of Thirteen Limit Cycles in a cubic System. International Journal of Bifurcation and Chaos in Applied Sciences and Engineering.DOI
P. Yu, Mao-An Han, Jizhou Zhang (2010). Critical Periods of Third-Order Planar Hamiltonian Systems. International Journal of Bifurcation and Chaos in Applied Sciences and Engineering.DOI
Mao-An Han, C. Shu, Jun-Min Yang, A. Chian (2010). Polynomial Hamiltonian systems with a nilpotent critical point.DOI
Weijiao Xu, Mao-An Han (2010). On the number of limit cycles of a Z4-equivariant quintic polynomial system. Applied Mathematics and Computation.DOI
Mao-An Han, Weinian Zhang (2010). On Hopf bifurcation in non-smooth planar systems.DOI
Mao-An Han, Ji-Bin Li, Cheng-Zhi Li (2010). Limit cycles of planar polynomial vector fields. Scholarpedia.DOI
A. Chian, Mao-An Han, R. Miranda, C. Shu, J. A. Valdivia (2010). The planetary–exoplanetary environment: A nonlinear perspective.DOI
Jun-Min Yang, Mao-An Han, V. Romanovski (2010). Limit cycle bifurcations of some Liénard systems.DOI
Jun-Min Yang, Mao-An Han (2010). Limit Cycle bifurcations of Some LiéNard Systems with a Nilpotent Cusp. International Journal of Bifurcation and Chaos in Applied Sciences and Engineering.DOI
Mao-An Han, V. Romanovski (2010). Estimating the number of limit cycles in polynomials systems.DOI
C. Shu, Zhijian Luo, Mao-An Han, A. Chian, Wen-Ping Chen, Zhen-Yu Wu (2010). The evolution of globular clusters.DOI
Mao-An Han, Jun-Min Yang, P. Yu (2010). FOR NEAR-HAMILTONIAN SYSTEMS *.
梁峰,鲁世平,韩茂安(2009). 一类具时滞的Rayleigh型泛函微分方程反周期解的存在性(英文). Journal of Mathematical Study.
Mao-An Han, Shu-Min Li (2009). Perturbations of parallel flows on the sphere in R3.DOI
P. Yu, Mao-An Han (2009). Critical Periods of Planar Revertible Vector Field with Third-Degree Polynomial Functions. International Journal of Bifurcation and Chaos in Applied Sciences and Engineering.DOI
Zhao-Ping Hu, Mao-An Han (2009). Periodic Solutions and bifurcations of First-Order Periodic impulsive Differential Equations. International Journal of Bifurcation and Chaos in Applied Sciences and Engineering.DOI
Feng Xie, Mao-An Han (2009). Existence of canards under non-generic conditions.DOI
Jun-Min Yang, Mao-An Han (2009). On the number of limit cycles of a cubic Near-Hamiltonian system.DOI
Mao-An Han, Hong Zang, Jun-Min Yang (2009). Limit cycle bifurcations by perturbing a cuspidal loop in a Hamiltonian system.DOI
Hong-Yan Ma, Mao-An Han (2009). Limit cycles of a Z 3 -equivariant near-Hamiltonian system.DOI
Xuan-Liang Liu, Mao-An Han (2009). Bifurcation of periodic solutions and invariant tori for a four-dimensional system.DOI
Feng-Juan Chen, Mao-An Han (2009). Rank one chaos in a class of planar systems with heteroclinic cycle. Chaos.DOI
Jiao Jiang, Jizhou Zhang, Mao-An Han (2009). Limit Cycles for a Class of quintic Near-Hamiltonian Systems Near a Nilpotent Center. International Journal of Bifurcation and Chaos in Applied Sciences and Engineering.DOI
Xia Liu, Mao-An Han (2009). Hopf bifurcation for nonsmooth LiéNard Systems. International Journal of Bifurcation and Chaos in Applied Sciences and Engineering.DOI
Mao-An Han, Jun-Min Yang, P. Yu (2009). Hopf bifurcations for Near-Hamiltonian Systems. International Journal of Bifurcation and Chaos in Applied Sciences and Engineering.DOI
Jiao Jiang, Mao-An Han (2009). Small-amplitude limit cycles of some Liénard-type systems.DOI
江娇,徐建华,韩茂安(2008). 具有无穷时滞中立型积分微分方程的周期解. 《数学物理学报》.
B. Cui, Mao-An Han (2008). Oscillation theorems for nonlinear hyperbolic systems with impulses.DOI
Yu-Hai Wu, Yongxi Gao, Mao-An Han (2008). Bifurcations of the limit cycles in a z3-equivariant quartic planar vector field.DOI
Yu-Hai Wu, Mao-An Han (2008). New configurations of 24 limit cycles in a quintic system. Computers and Mathematics with Applications.DOI
Wei Ding, Mao-An Han (2008). Dynamic of a non-autonomous predator-prey system with infinite delay and diffusion. Computers and Mathematics with Applications.DOI
Yepeng Xing, Wei Ding, Mao-An Han (2008). Periodic boundary value problems of integro-differential equation of Volterra type on time scales☆.DOI
Mao-An Han, Jiao Jiang, Huaiping Zhu (2008). Limit Cycle bifurcations in Near-Hamiltonian Systems by Perturbing a Nilpotent Center. International Journal of Bifurcation and Chaos in Applied Sciences and Engineering.DOI
Yu-Hai Wu, Yongxi Gao, Mao-An Han (2008). On the Number and Distributions of Limit Cycles in a quintic Planar Vector Field. International Journal of Bifurcation and Chaos in Applied Sciences and Engineering.DOI
Wei Ding, Mao-An Han (2008). Synchronization of delayed fuzzy cellular neural networks based on adaptive control.DOI
Yonghui Xia, Zhen-Kun Huang, Mao-An Han (2008). Existence and globally exponential stability of equilibrium for BAM neural networks with impulses.DOI
Hong Zang, Mao-An Han, Dong-Mei Xiao (2008). On Melnikov functions of a homoclinic loop through a nilpotent saddle for planar near-Hamiltonian systems.DOI
Jiao Jiang, Mao-An Han (2008). Melnikov function and limit cycle bifurcation from a nilpotent center.DOI
Yu-Hai Wu, Mao-An Han, Xian-Feng Chen (2008). On the bifurcation of double homoclinic loops of a cubic system.DOI
Mao-An Han, Jun-Min Yang, Alexandrina–Alina Tarţa, Yang Gao (2008). Limit Cycles Near Homoclinic and Heteroclinic Loops.DOI
Chengjun Sun, Mao-An Han, Xiao-Ming Pang (2007). Global Hopf bifurcation analysis on a BAM neural network with delays. Mathematical and computer modelling.DOI
Wei Ding, Yepeng Xing, Mao-An Han (2007). Anti-periodic boundary value problems for first order impulsive functional differential equations. Applied Mathematics and Computation.DOI
Chengjun Sun, Mao-An Han, Yi-Ping Lin, Yuanyuan Chen (2007). Global qualitative analysis for a predator–prey system with delay.DOI
Yonghui Xia, Zhen-Kun Huang, Mao-An Han (2007). Existence of almost periodic solutions for forced perturbed systems with piecewise constant argument.DOI
Zhi-Yong Ye, Mao-An Han (2007). Bifurcations of Invariant Tori and Subharmonic Solutions of Singularly Perturbed System*.DOI
Yu-Hai Wu, L. Tian, Mao-An Han (2007). On the limit cycles of a quintic planar vector field.DOI
Jiao Jiang, Mao-An Han, P. Yu, S. Lynch (2007). Limit Cycles in Two Types of Symmetric LiÉnard Systems. International Journal of Bifurcation and Chaos in Applied Sciences and Engineering.DOI
Chengjun Sun, Yi-Ping Lin, Mao-An Han (2007). Dynamic analysis for a stage-structure competitive system with mature population harvesting.DOI
Yong Xia, Jin-De Cao, Mao-An Han (2007). A new analytical method for the linearization of dynamic equation on measure chains.DOI
P. Yu, Mao-An Han (2007). On limit cycles of the Liénard equation with Z2 symmetry.DOI
Mao-An Han, G. Chen, Chengjun Sun (2007). On the Number of Limit Cycles in Near-Hamiltonian Polynomial Systems. International Journal of Bifurcation and Chaos in Applied Sciences and Engineering.DOI
Mao-An Han, Hong Zang, Tonghua Zhang (2007). A new proof to Bautin's theorem.DOI
Mao-An Han, Tonghua Zhang, Hong Zang (2007). Bifurcation of limit cycles near equivariant compound cycles.DOI
Y. Sun, Mao-An Han, L. Debnath (2007). Existence of positive periodic solutions for a class of functional differential equations. Applied Mathematics and Computation.DOI
Wei-Nian Li, Mao-An Han (2007). Oscillation of solutions for certain impulsive vector parabolic differential equations with delays.DOI
Chengjun Sun, Mao-An Han, Yi-Ping Lin (2007). Analysis of stability and Hopf bifurcation for a delayed logistic equation.DOI
Chengjun Sun, Yi-Ping Lin, Mao-An Han, Shoupeng Tang (2007). Analysis for a special first order characteristic equation with delay dependent parameters.DOI
Mao-An Han, De-Sheng Shang, Wang Zheng, P. Yu (2007). Bifurcation of Limit Cycles in a Fourth-Order Near-Hamiltonian System. International Journal of Bifurcation and Chaos in Applied Sciences and Engineering.DOI
Mao-An Han, Huaiping Zhu (2007). The loop quantities and bifurcations of homoclinic loops.DOI
叶志勇,韩茂安 (2006). Periodic Orbits and Invariant Tori from a Semistable Limit Cycle in the Fast Dynamics. Journal of Shanghai Jiaotong University(Science).
Jin Zhen, Zhien Ma, Mao-An Han (2006). GLOBAL STABILITY OF AN SIRS EPIDEMIC MODEL WITH DELAYS.DOI
Wei-Nian Li, Mao-An Han (2006). Oscillation Tests for Certain Systems of Parabolic Differential Equations with Neutral Type.DOI
Hong Zang, Mao-An Han, Tonghua Zhang, M. Tadé (2006). The Number and Distributions of Limit Cycles for a Class of Quintic Near-Hamiltonian Systems. Computers and Mathematics with Applications.DOI
Mao-An Han (2006). Invariant Torus Bifurcations of Singular Limit Cycle for a Singularly Perturbed System.
De-Sheng Shang, Mao-An Han (2006). Global Bifurcation of a Perturbed Double-Homoclinic Loop*.DOI
Mao-An Han (2006). Chapter 4 Bifurcation Theory of Limit Cycles of Planar Systems.DOI
Yongli Song, Mao-An Han (2006). Periodic Solutions of a Discrete Time Predator-Prey System.DOI
P. Yu, Mao-An Han, Yuan Yuan (2006). Analysis on limit cycles of Zq-equivariant polynomial vector fields with degree 3 or 4☆.DOI
Mao-An Han (2006). Melnikov functions of planar near-Hamiltonian systems and their Hopf bifurcations.
De-Sheng Shang, Mao-An Han, Jin-Ping Sun (2006). The Global Bifurcation of a Cubic System.DOI
Feng Xie, Mao-An Han, Wei-Jiang Zhang (2006). The persistence of canards in 3-D singularly perturbed systems with two fast variables. Asymptotic Analysis.DOI
Feng Xie, Mao-An Han, Wei-Jiang Zhang (2006). Existence of canard manifolds in a class of singularly perturbed systems.DOI
Sanling Yuan, Dong-Mei Xiao, Mao-An Han (2006). Competition between plasmid-bearing and plasmid-free organisms in a chemostat with nutrient recycling and an inhibitor. Mathematical Biosciences.DOI
P. Yu, Mao-An Han (2006). Limit cycles in generalized Liénard systems.DOI
Zhi-Yong Ye, Mao-An Han (2006). Singular limit cycle bifurcations to closed orbits and invariant tori.DOI
Chengjun Sun, Yi-Ping Lin, Mao-An Han (2006). Stability and Hopf bifurcation for an epidemic disease model with delay.DOI
P. Bi, Mao-An Han (2006). THE Bifurcation of Periodic Solution for a Class of Differential Difference Equation.
Dong-Mei Xiao, Wen-Xia Li, Mao-An Han (2006). Dynamics in a ratio-dependent predator–prey model with predator harvesting.DOI
Hong Zang, Tonghua Zhang, Mao-An Han (2006). Bifurcations of limit cycles in a cubic system with cubic perturbations. Applied Mathematics and Computation.DOI
崔宝同,韩茂安 (2005). Asymptotical Properties for Parabolic Systems of Neutral Type. Journal of Shanghai Jiaotong University(Science).
Yu-Hai Wu, Mao-An Han, Xuan-Liang Liu (2005). On the study of limit cycles of a cubic polynomials system under Z4-equivariant quintic perturbation.DOI
Wan Wang, Mao-An Han, Jiong Sun (2005). On Hopf cyclicity of planar systems with multiple parameters. Applied Mathematics Letters.DOI
P. Yu, Mao-An Han (2005). Small limit cycles bifurcating from fine focus points in cubic order Z2-equivariant vector fields.DOI
Mao-An Han, Yu-Hai Wu, P. Bi (2005). A new cubic system having eleven limit cycles.DOI
Jin Zhen, Mao-An Han, Guihu Li (2005). The persistence in a Lotka–Volterra competition systems with impulsive☆.DOI
Yongli Song, Mao-An Han, Jun-Jie Wei (2005). Stability and Hopf bifurcation analysis on a simplified BAM neural network with delays.DOI
Yepeng Xing, Mao-An Han, Guangfu Zheng (2005). Initial value problem for first-order integro-differential equation of Volterra type on time scales.DOI
Xian-Feng Chen, P. Yu, Mao-An Han, Wei-Jiang Zhang (2005). Canard solutions of two-dimensional singularly perturbed systems.DOI
Wei Ding, Jun-Rong Mi, Mao-An Han (2005). Periodic boundary value problems for the first order impulsive functional differential equations. Applied Mathematics and Computation.DOI
Feng Xie, Mao-An Han, Wei-Jiang Zhang (2005). Singular Homoclinic Bifurcations in a Planar Fast-Slow System.DOI
Mao-An Han, Hua Chen, De-Sheng Shang (2005). Existence of periodic solutions of a neuronic equation.DOI
Guanghui Xiang, Mao-An Han, Tonghua Zhang (2005). The number of limit cycles for a family of polynomial systems.DOI
Feng Xie, Mao-An Han, Wei-Jiang Zhang (2005). Canard Phenomena in Oscillations of a Surface Oxidation Reaction. Journal of nonlinear science.DOI
Xuan-Liang Liu, Mao-An Han (2005). Poincaré bifurcation of a three-dimensional system.DOI
Tonghua Zhang, Mao-An Han, Hong Zang (2005). Perturbation from an asymmetric cubic Hamiltonian.DOI
Wei Ding, Mao-An Han, Jun-Rong Mi (2005). Periodic boundary value problem for the second-order impulsive functional differential equations.DOI
Mao-An Han, Tonghua Zhang (2005). Some bifurcation methods of finding limit cycles. Mathematical biosciences and engineering : MBE.DOI
De-Sheng Shang, Mao-An Han (2005). The existence of homoclinic orbits to saddle-focus. Applied Mathematics and Computation.DOI
Xuan-Liang Liu, Mao-An Han (2005). BIFURCATION OF PERIODIC ORBITS OF A THREE-DIMENSIONAL SYSTEM.DOI
Xuan-Liang Liu, Mao-An Han (2005). Hopf bifurcation of a Three-Dimensional System. International Journal of Bifurcation and Chaos in Applied Sciences and Engineering.DOI
Bao-Tong Cui, Mao-An Han, Hui-Zhong Yang (2005). Some sufficient conditions for oscillation of impulsive delay hyperbolic systems with Robin boundary conditions.DOI
Mao-An Han (2005). Traveling Waves for a Diffusive Population Models with Time Delays.
P. Yu, Mao-An Han (2005). Twelve Limit Cycles in a cubic Case of the 16TH Hilbert Problem. International Journal of Bifurcation and Chaos in Applied Sciences and Engineering.DOI
Wei-Nian Li, Mao-An Han, F. Meng (2005). Necessary and sufficient conditions for oscillation of impulsive parabolic differential equations with delays. Applied Mathematics Letters.DOI
Mao-An Han, Xianfeng Chen (2005). Existence and bifurcation of integral manifolds with applications.DOI
Mao-An Han, Chengxi Yang (2005). On the cyclicity of a 2-polycycle for quadratic systems.DOI
Guanghui Xiang, Mao-An Han (2004). Global bifurcation of limit cycles in a family of polynomial systems.DOI
Tonghua Zhang, Hong Zang, Mao-An Han (2004). The Upper Bound of the Number of Limit Cycles of a Classof Non-Hamiltonian Integrable Systems.
Mao-An Han, Yi-Ping Lin, P. Yu (2004). A Study on the Existence of Limit Cycles of a Planar System with Third-Degree Polynomials. International Journal of Bifurcation and Chaos in Applied Sciences and Engineering.DOI
Jin Zhen, Zhien Ma, Mao-An Han (2004). The existence of periodic solutions of the n-species Lotka–Volterra competition systems with impulsive.DOI
Mao-An Han (2004). CAUCHY PROBLEM OF SINGULAR SEMILINEAR REACTION-DIFFUSION SYSTEM.
Wei-Nian Li, Mao-An Han, F. Meng (2004). H-oscillation of solutions of certain vector hyperbolic differential equations with deviating arguments. Applied Mathematics and Computation.DOI
Mao-An Han, P. Bi (2004). BIFURCATION OF LIMIT CYCLES FROM A DOUBLE HOMOCLINIC LOOP WITH A ROUGH SADDLE.DOI
Bao-Tong Cui, Mao-An Han, Hui-Zhong Yang (2004). Variable structure control design for uncertain distributed parameter systems with nonlinear input. Fifth World Congress on Intelligent Control and Automation (IEEE Cat. No.04EX788).DOI
Tonghua Zhang, Wencheng Chen, Mao-An Han, Hong Zang (2004). The Abelian integrals of a One-Parameter Hamiltonian System under Polynomial Perturbations. International Journal of Bifurcation and Chaos in Applied Sciences and Engineering.DOI
Sanling Yuan, Yongli Song, Mao-An Han (2004). Direction and stability of bifurcating periodic solutions of a chemostat model with two distributed delays.DOI
Yongli Song, Ya-Hong Peng, Mao-An Han (2004). Travelling wavefronts in the diffusive single species model with Allee effect and distributed delay. Applied Mathematics and Computation.DOI
Mao-An Han, Yu-Hai Wu (2004). The stability of double homoclinic loops. Applied Mathematics Letters.DOI
Sanling Yuan, Mao-An Han (2004). Bifurcation analysis of a chemostat model with two distributed delays.DOI
Mao-An Han (2004). Linearized Oscillation of Neutral Difference Equations with Continuous Variable.
P. Bi, Mao-An Han (2004). Existence and bifurcation of Periodic Solutions of Three-Dimensional Delay Differential Equations. International Journal of Bifurcation and Chaos in Applied Sciences and Engineering.DOI
Wei Ding, Mao-An Han, Jurang Yan (2004). Periodic boundary value problems for the second order functional differential equations.DOI
Yepeng Xing, Mao-An Han (2004). A new approach to stability of impulsive functional differential equations. Applied Mathematics and Computation.DOI
Mao-An Han, P. Bi (2004). Existence and bifurcation of periodic solutions of high-dimensional delay differential equations.DOI
Yongli Song, Jun-Jie Wei, Mao-An Han (2004). Local and Global Hopf bifurcation in a Delayed Hematopoiesis Model. International Journal of Bifurcation and Chaos in Applied Sciences and Engineering.DOI
Mao-An Han (2004). Qualitative Analysis for Predator-Prey Systems with Tyep-III Functional Response.
Bao-Tong Cui, Mao-An Han, Hui-Zhong Yang (2004). Asymptotical properties for neutral distributed parameter systems. ICARCV 2004 8th Control, Automation, Robotics and Vision Conference, 2004..DOI
Mao-An Han, Tonghua Zhang, Hong Zang (2004). On the Number and Distribution of Limit Cycles in a cubic System. International Journal of Bifurcation and Chaos in Applied Sciences and Engineering.DOI
Yongli Song, Mao-An Han, Ya-Hong Peng (2004). Stability and Hopf bifurcations in a competitive Lotka-Volterra system with two delays.DOI
Guanghui Xiang, Mao-An Han (2004). Global bifurcation of Limit Cycles in a Family of multiparameter System. International Journal of Bifurcation and Chaos in Applied Sciences and Engineering.DOI
Mao-An Han, P. Bi, Dong-Mei Xiao (2004). Bifurcation of limit cycles and separatrix loops in singular Lienard systems.DOI
Mao-An Han, Yu-Hai Wu, P. Bi (2004). Bifurcation of limit cycles near polycycles with n vertices.DOI
Yu-Hai Wu, Mao-An Han, Xian-Feng Chen (2004). On the Study of Limit Cycles of the Generalized Rayleigh-lienard oscillator. International Journal of Bifurcation and Chaos in Applied Sciences and Engineering.DOI
Tonghua Zhang, Mao-An Han, Hong Zang, Xinzhu Meng (2004). Bifurcations of limit cycles for a cubic Hamiltonian system under quartic perturbations.DOI
Tonghua Zhang, Hong Zang, Mao-An Han (2004). Bifurcations of limit cycles in a cubic system.DOI
金雷,韩茂安,毕平(2003). 周期方程周期解的稳定性与分支. 《上海交通大学学报》.
宋永利,韩茂安 (2003). Periodic Solutions of Periodic Delay Predator-Prey System with Nonmonotonic Functional Response. Journal of Shanghai Jiaotong University(Science).
V. Romanovski, Mao-An Han (2003). Critical period bifurcations of a cubic system.DOI
Yuan Sanling, Mao-An Han, Zhien Ma (2003). Competition in the chemostat: convergence of a model with delayed response in growth☆.DOI
Mao-An Han, Shouchuan Hu, Xing-Bo Liu (2003). On the stability of double homoclinic and heteroclinic cycles.DOI
P. Bi, Mao-An Han (2003). Oscillation of second order difference equations with advanced argument.DOI
Mao-An Han (2003). Bifurcations of periodic solutions of delay differential equations.DOI
P. Bi, Mao-An Han, Yu-Hai Wu (2003). Bifurcation of periodic solutions of delay differential equation with two delays.DOI
Dong-hai Peng, Mao-An Han, H.-Y. Wang (2003). Linearized oscillations of first-order nonlinear neutral delay difference equations.DOI
韩茂安(2002). 一类三次系统极限环的个数与分布. 《数学年刊A辑(中文版)》.
韩茂安(2002). Lienard系统的某些性质. 《应用数学和力学》.
韩茂安,顾圣士(2002). 双曲极限环在周期扰动下次调和解的分支. 《应用数学和力学》.
朱德明,韩茂安(2002). 快变量空间中的同宿轨道分支. 《数学年刊A辑(中文版)》.
韩茂安(2002). 动力系统的周期解与分支理论. 《科学出版社》.
Mao-An Han (2002). On some properties of Lienard systems.DOI
Mao-An Han (2002). BIFURCATION OF HOMOCLINIC ORBITS IN FAST VARIABLE SPACE.
Mao-An Han, Sheng-Shi Gu (2002). Bifurcations of subharmonic solutions in periodic perturbation of a hyperbolic limit cycle.DOI
韩茂安(2001). 非线性系统的理论和方法.
Mao-An Han (2001). Existence of at Most 1, 2, or 3 Zeros of a Melnikov Function and Limit Cycles.DOI
Mao-An Han, D. Qian (2001). ON THE LIMIT CYCLES OF PLANAR AUTONOMOUS SYSTEMS.DOI
Mao-An Han (2001). The Hopf cyclicity of Lienard systems. Applied Mathematics Letters.DOI
刘兴波,韩茂安(2000). 一类两点异宿环的扰动分支. 《数学年刊A辑(中文版)》.
韩茂安,陈健(2000). 双同宿分支中极限环的个数. 《中国科学:数学》.
韩茂安,沐建飞(2000). 一阶线性时滞微分方程的振动性. 《上海交通大学学报》.
Mao-An Han, Jian Chen (2000). On the number of limit cycles in double homoclinic bifurcations.DOI
孟争,韩茂安,顾圣士 (2000). GLOBAL BIFURCATIONS OF LIMIT CYCLES FOR A CUBIC SYSTEM. Annals of Applied Mathematics.
Mao-An Han (2000). On Hopf Cyclicity of Planar Systems.DOI
Mao-An Han, Ding-Jun Luo, De-Ming Zhu (1990). The Uniqueness of Limit Cycleis Bifurcating from a Singular Closed Orbit (I), (II ), (III).
韩茂安(1989). 一类非线性方程的有界性. 《高校应用数学学报A辑》.
韩茂安(1989). R上向量场的一个几何性质. Chinese Quarterly Journal of Mathematics.
韩茂安 (1989). EXISTENCE OF LIMIT CYCLES FOR QUADRATIC SYSTEMS WITH ONE INFINITE SINGULAR POINT. Chinese Annals of Mathematics,Series B.
韩茂安 (1989). PROPERTIES IN THE LARGE OF QUADRATIC SYSTEMS IN THE PLANE. Chinese Annals of Mathematics,Series B.
Mao-An Han, Yan-Qian Ye, De-Ming Zhu (1989). Cyclicity of homoclinic loops and degenerate cubic Hamiltonians.DOI
Mao-An Han (1988). Unique ergodicity of flows on the torus and the rotation number.DOI
韩茂安 (1988). PERIODIC ORBITS AND P STABLE ORBIT CLOSURES OF CONTINUOUS FLOWS ON SURFACES. Chinese Annals of Mathematics,Series B.
Mao-An Han (1988). Conditions for a diffeomorghism to be embedded in aCr flow.DOI
韩茂安,Shandong Mining Institute,Taian,Shandong,China. (1988). THE ROTATION NUMBER AND DIRECTION OF A CONTINUOUS FLOW ON THE TORUS. Chinese Annals of Mathematics,Series B.
韩茂安(1988). 直线同胚的嵌入流及其应用. Journal of Mathematical Research with Applications.
Ci Kong, Mao-An Han, Yun Tian, Xian-Bo Sun. SOME BIFURCATION RESULTS IN NEAR-HAMILTONIAN SYSTEMS WITH FINITE-ORDER SMOOTHNESS. Journal of Applied Analysis & Computation.DOI
Mao-An Han, Ci Kong, Pei Yu. Global and non-global center conditions of generalized Liénard systems. Nonlinear Analysis: Real World Applications.DOI
Mao-An Han, Hui Yan, Jun-Min Yang, C. Lhotka. ON THE NUMBER OF LIMIT CYCLES OF SOME LIÉNARD SYSTEMS.