Bifurcation of Limit Cycles by Perturbing a Piecewise Linear Hamiltonian System | Zendy

Yanqin Xiong | Zendy; Maoan Han | Zendy

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Bifurcation of Limit Cycles by Perturbing a Piecewise Linear Hamiltonian System

Author(s) -

Yanqin Xiong,

Maoan Han

Publication year - 2013

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2013/575390

Subject(s) - phase portrait , mathematics , hamiltonian system , piecewise linear function , bifurcation , limit cycle , piecewise , hamiltonian (control theory) , limit (mathematics) , mathematical analysis , periodic orbits , nonlinear system , mathematical optimization , physics , quantum mechanics

This paper concerns limit cycle bifurcations by perturbing a piecewise linear Hamiltonian system. We first obtain all phase portraits of the unperturbed system having at least one family of periodic orbits. By using the first-order Melnikov function of the piecewise near-Hamiltonian system, we investigate the maximal number of limit cycles that bifurcate from a global center up to first order of ε

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