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math.DS2023
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…
math.DS2021
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…