张湘

2025

A Short Survey of the Well-posedness of the Two-dimensional Burgers' Equation

arXiv preprint

2024

Reduction of Elementary Integrability of Polynomial Vector Fields

arXiv preprint

2023

Spectrum and stability of travelling pulses in a coupled FitzHugh--Nagumo equation

arXiv preprint

2022

On codimension one partially hyperbolic diffeomorphisms

arXiv preprint

2022

New criterions on nonexistence of periodic orbits of planar dynamical systems and their applications

arXiv preprint

2020

Regularity and convergence of local first integrals of analytic differential systems

arXiv preprint

2020

Jacobian conjecture in $\mathbb R^2$

arXiv preprint

2017

A note on local integrability of differential systems

arXiv preprint

DOI

2014

Analytic integrable systems: Analytic normalization and embedding flows

arXiv preprint

DOI

2014

Generalized rational first integrals of analytic differential systems

arXiv preprint

DOI

2014

Nonuniform Dichotomy Spectrum and Normal Forms for Nonautonomous Differential Systems

arXiv preprint

2014

The $16$th Hilbert problem on algebraic limit cycles

arXiv preprint

DOI

2014

The embedding flows of $C^\infty$ hyperbolic diffeomorphisms

arXiv preprint

DOI

2014

Global structure of quaternion polynomial differential equations

arXiv preprint

DOI

2014

Inverse Jacobian multipliers and Hopf bifurcation on center manifolds

arXiv preprint

DOI

2014

Analytic normalization of analytically integrable differential systems near a periodic orbit

arXiv preprint

DOI

2013

Liouvillian integrability of polynomial differential systems

arXiv preprint