Bifurcation of Limit Cycles by Perturbing a Piecewise Linear Hamiltonian System

Yanqin Xiong and Maoan Han

Abstract and Applied Analysis, 2013, vol. 2013, 1-19

Abstract:

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 .

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:575390

DOI: 10.1155/2013/575390

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