43 citations · 169 across the 15 of their papers we have counts for
7 papers · 1 filter
Generalized rational first integrals of analytic differential systems
Wang Cong, Jaume Llibre, Xiang Zhang
In this paper we mainly study the necessary conditions for the existence of functionally independent generalized rational first integrals of ordinary differential systems via the r…
The th Hilbert problem on algebraic limit cycles
Zhang Xiang
For real planar polynomial differential systems there appeared a simple version of the th Hilbert problem on algebraic limit cycles: {\it Is there an upper bound on the number…
Analytic integrable systems: Analytic normalization and embedding flows
Zhang Xiang
In this paper we mainly study the existence of analytic normalization and the normal form of finite dimensional complete analytic integrable dynamical systems. More details, we wil…
Analytic normalization of analytically integrable differential systems near a periodic orbit
Kesheng Wu, Xiang Zhang
For an analytic differential system in with a periodic orbit, we will prove that if the system is analytically integrable around the periodic orbit, i.e. it has …
Inverse Jacobian multipliers and Hopf bifurcation on center manifolds
Xiang Zhang
In this paper we consider a class of higher dimensional differential systems in which have a two dimensional center manifold at the origin with a pair of pure imagina…
Global structure of quaternion polynomial differential equations
Xiang Zhang
In this paper we mainly study the global structure of the quaternion Bernoulli equations for the quaternion field and also some other form of cubi…
Nonuniform Dichotomy Spectrum and Normal Forms for Nonautonomous Differential Systems
Xiang Zhang
The aim of this paper is to study the normal forms of nonautonomous differential systems. For doing so, we first investigate the nonuniform dichotomy spectrum of the linear evoluti…