Xiang Zhang

activity

20132026

most citedGlobal structure of quaternion polynomial differential equations

43 citations · 169 across the 15 of their papers we have counts for

collaborators

Showing 2017Show all

2 papers · 1 filter

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…