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Theory and Application of a Nongeneric Heteroclinic Loop Bifurcation

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


Book ID
118193429
Publisher
Society for Industrial and Applied Mathematics
Year
1999
Tongue
English
Weight
422 KB
Volume
59
Category
Article
ISSN
0036-1399

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Bifurcation of limit cycles from a heter
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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