4 papers
The topology and isochronicity on complex Hamiltonian systems with homogeneous nonlinearities
Guangfeng Dong, Jiazhong Yang
In this paper, we study the Hamiltonian differential systems with homogeneous nonlinearity parts on . Firstly, we present a series of topological properties of polyno…
Realization of Arbitrary Configuration of Limit Cycles of Piecewise Linear System
Shaoqing Wang, Jiazhong Yang
In this paper, we consider the realization of configuration of limit cycles of piecewise linear systems on the plane. We show that any configuration of Jordan curves can be realize…
On the maximal saddle order of p:-q resonant saddle
Guangfeng Dong, Changjian Liu, Jiazhong Yang
In this paper, we obtain some estimations of the saddle order which is the sole topological invariant of the non-integrable resonant saddles of planar polynomial vector fields of a…
On the number of hyperelliptic limit cycles of Liénard systems
XinJie Qian, JiaZhong Yang
In this paper, we study the maximum number, denoted by , of hyperelliptic limit cycles of the Liénard systems where, respective…