Bifurcations of limit cycles for a perturbed cubic system with double figure eight loop
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Authors
Zhang, Tongua
Zang, Hong
Tade, Moses O.
Date
2013Type
Journal Article
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Zhang, Tonghua and Zang, Hong and Tade, Moses O. 2013. Bifurcations of limit cycles for a perturbed cubic system with double figure eight loop. International Journal of Bifurcation and Chaos. 23 (4): 12 pages.
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International Journal of Bifurcation and Chaos
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Abstract
This paper is concerned with the distribution and number of limit cycles for a cubic Hamiltonian system under cubic perturbation. The fact that there exist seven limit cycles is proved. The different distributions of limit cycles are given by using the methods of bifurcation theory and qualitative analysis, and the distributions of seven limit cycles are newly established.
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