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

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  • Han, Maoan
  • Xiong, Yanqin

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.

Suggested Citation

  • Han, Maoan & Xiong, Yanqin, 2014. "Limit cycle bifurcations in a class of near-Hamiltonian systems with multiple parameters," Chaos, Solitons & Fractals, Elsevier, vol. 68(C), pages 20-29.
    • Handle: RePEc:eee:chsofr:v:68:y:2014:i:c:p:20-29
    DOI: 10.1016/j.chaos.2014.07.005
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    References listed on IDEAS

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    1. Wang, S. & Yu, P., 2006. "Existence of 121 limit cycles in a perturbed planar polynomial Hamiltonian vector field of degree 11," Chaos, Solitons & Fractals, Elsevier, vol. 30(3), pages 606-621.
    2. Wang, S. & Yu, P., 2005. "Bifurcation of limit cycles in a quintic Hamiltonian system under a sixth-order perturbation," Chaos, Solitons & Fractals, Elsevier, vol. 26(5), pages 1317-1335.
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