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Bifurcations of limit cycles from quintic Hamiltonian systems with an eye-figure loop

โœ Scribed by Rasoul Asheghi; Hamid R.Z. Zangeneh


Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
673 KB
Volume
68
Category
Article
ISSN
0362-546X

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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