Limit cycle bifurcations in a class of near-Hamiltonian systems with multiple parameters

Maoan Han and Yanqin Xiong

Chaos, Solitons & Fractals, 2014, vol. 68, issue C, 20-29

Abstract: This article investigates a class of near-Hamiltonian systems and obtains some new conditions for the existence of multiple limit cycles with the help of the first order Melnikov function. As applications to the obtained main results, a cubic reversible isochronous system under cubic polynomial perturbations is studied.

Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:68:y:2014:i:c:p:20-29

DOI: 10.1016/j.chaos.2014.07.005

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