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Bifurcations of limit cycles from a quintic Hamiltonian system with a heteroclinic cycle

โœ Scribed by Zhao, Li Qin; Li, De Ping


Book ID
121560631
Publisher
Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society
Year
2014
Tongue
English
Weight
250 KB
Volume
30
Category
Article
ISSN
1439-7617

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Bifurcation of limit cycles from a heter
โœ Xianbo Sun; Maoan Han; Junmin Yang ๐Ÿ“‚ Article ๐Ÿ“… 2011 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 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