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Bifurcation of limit cycles from a heteroclinic loop with a cusp

✍ Scribed by Xianbo Sun; Maoan Han; Junmin Yang

Publisher: Elsevier Science
Year: 2011
Tongue: English
Weight: 584 KB
Volume: 74
Category: Article
ISSN: 0362-546X
DOI: 10.1016/j.na.2011.01.013

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✦ Synopsis

In this article, we study the expansion of the first Melnikov function of a near-Hamiltonian system near a heteroclinic loop with a cusp and a saddle or two cusps, obtaining formulas to compute the first coefficients of the expansion. Then we use the results to study the problem of limit cycle bifurcation for two polynomial systems.

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