Bifurcations of limit cycles for a perturbed cubic system with double figure eight loop

Bifurcations of limit cycles for a perturbed cubic system with double figure eight loop

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 a...

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Bibliographic Details
Main Authors: Zhang, Tongua, Zang, Hong, Tade, Moses O.
Format: Journal Article
Published: World Scientific Publishing 2013
Subjects:
Hamiltonian system
perturbation
limit cycles
stability
Homoclinic bifurcation
heteroclinic bifurcation
Online Access:http://hdl.handle.net/20.500.11937/24791

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