Bifurcation of limit cycles from a heteroclinic loop with two cusps

Jiao Li, Tonghua Zhang and Maoan Han

Chaos, Solitons & Fractals, 2014, vol. 62-63, 44-54

Abstract: In this paper, we study the expansion of the first Melnikov function for general near-Hamiltonian systems near a heteroclinic loop with two cusps of order 1 or 2, obtain the formulas for the first coefficients appearing in the expansion, and establish some bifurcation theorems on the number of limit cycles. We also give some application examples.

Date: 2014
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:62-63:y:2014:i::p:44-54

DOI: 10.1016/j.chaos.2014.04.003

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