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Theory and Application of a Nongeneric Heteroclinic Loop Bifurcation

✍ Scribed by Shui-Nee Chow, Bo Deng and Mark J. Friedman

Book ID
124179862
Publisher
Society for Industrial and Applied Mathematics
Year
1999
Tongue
English
Weight
525 KB
Volume
59
Category
Article
ISSN
0036-1399

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πŸ“œ SIMILAR VOLUMES

Bifurcation of limit cycles from a heter
Bifurcation of limit cycles from a heteroclinic loop with a cusp
✍ 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