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…
Topological properties on isochronous centers of polynomial Hamiltonian differential systems
Guangfeng Dong
In this paper, we study the topological properties of complex polynomial Hamiltonian differential systems of degree having an isochronous center. Firstly, we prove that if the…
On the transformations linearizing isochronous centers of Hamiltonian systems
Guangfeng Dong, Yuyi Zhang
In this paper we study the transformations linearizing isochronous centers of planar Hamiltonian differential systems with polynomial Hamiltonian functions having only iso…
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…