Advances in Differential Equations and Control Processes
Volume 13, Issue 2, Pages 123 - 130
(May 2014)
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THE GLOBAL BIFURCATION OF A KIND OF CUBIC SYSTEM
Desheng Shang, Zheng Wang, Yunming Zhou and Chengjun Lv
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Abstract: In this paper, we study the homoclinic and double-homoclinic perturbation of a kind of cubic system. By using the method of multi-parameter perturbation theory and qualitative analysis, we obtain that the system can have 5 limit cycles and gave the distributions of the system. |
Keywords and phrases: perturbation, bifurcation, cubic system, limit cycle, homoclinic loop. |
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