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Bifurcation of limit cycles from a heteroclinic loop with two cusps

✍ Scribed by Li, Jiao; Zhang, Tonghua; Han, Maoan


Book ID
124122543
Publisher
Elsevier Science
Year
2014
Tongue
English
Weight
777 KB
Volume
62-63
Category
Article
ISSN
0960-0779

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Bifurcation of limit cycles from a heter
✍ Xianbo Sun; Maoan Han; Junmin Yang πŸ“‚ Article πŸ“… 2011 πŸ› Elsevier Science 🌐 English βš– 584 KB

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 bifur