Xiang Zhang

activity

20162020

most citedA note on local integrability of differential systems

11 citations · 12 across the 4 of their papers we have counts for

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3 papers · 1 filter

math.DS2020

Meromorphic first integrals of analytic diffeomorphisms

Antoni Ferragut, Armengol Gasull, Xiang Zhang

We give an upper bound for the number of functionally independent meromorphic first integrals that a discrete dynamical system generated by an analytic map $f$ can have in a neighb…

math.DS2017★ 11 cited

A note on local integrability of differential systems

Xiang Zhang

For an $n$ --dimensional local analytic differential system $x ˙ = A x + f (x)$ with $f (x) = O (∣ x ∣^{2})$ , the Poincaré nonintegrability theorem states that if the eigenvalues of $A$ are no…

math.DS2017

Global dynamics of planar quasi-homogeneous differential systems

Yilei Tang, Xiang Zhang

In this paper we provide a new method to study global dynamics of planar quasi--homogeneous differential systems. We first prove that all planar quasi--homogeneous polynomial diffe…