Local bifurcations of critical periods for cubic Liénard equations with cubic damping |
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Authors: | Lan Zou Xingwu Chen Weinian Zhang |
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Institution: | Department of Mathematics, Sichuan University, Chengdu, Sichuan 610064, PR China |
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Abstract: | Continuing Chicone and Jacobs’ work for planar Hamiltonian systems of Newton’s type, in this paper we study the local bifurcation of critical periods near a nondegenerate center of the cubic Liénard equation with cubic damping and prove that at most 2 local critical periods can be produced from either a weak center of finite order or the linear isochronous center and that at most 1 local critical period can be produced from nonlinear isochronous centers. |
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Keywords: | Lié nard equation Weak center Isochronous center Bifurcation Perturbation |
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