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Local bifurcations of critical periods for cubic Liénard equations with cubic damping

✍ Scribed by Lan Zou; Xingwu Chen; Weinian Zhang

Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
473 KB
Volume
222
Category
Article
ISSN
0377-0427

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✦ Synopsis

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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