Limit cycle bifurcations of near-Hamiltonian systems with multiple switching curves and applications | Zendy

Wenye Liu | Zendy; Maoan Han | Zendy

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Limit cycle bifurcations of near-Hamiltonian systems with multiple switching curves and applications

Author(s) -

Wenye Liu,

Maoan Han

Publication year - 2022

Publication title -

discrete and continuous dynamical systems - s

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.481

H-Index - 34

eISSN - 1937-1632

pISSN - 1937-1179

DOI - 10.3934/dcdss.2022053

Subject(s) - piecewise , limit cycle , mathematics , hamiltonian (control theory) , hamiltonian system , limit (mathematics) , bifurcation , mathematical analysis , polynomial , control theory (sociology) , pure mathematics , physics , mathematical optimization , nonlinear system , computer science , quantum mechanics , control (management) , artificial intelligence

In the present paper, we are devoted to the study of limit cycle bifurcations in piecewise smooth near-Hamiltonian systems with multiple switching curves, obtaining a formula of the first order Melnikov function in general case. As an application, we give lower bounds of the number of limit cycles for a piecewise smooth near-Hamiltonian system with a closed switching curve passing through the origin under piecewise polynomial perturbations.

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