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Cubic Liénard equations with quadratic damping having two antisaddles

✍ Scribed by Freddy Dumortier; Robert E. Kooij; Chengzhi Li

Book ID
105671132
Publisher
SP Birkhäuser Verlag Basel
Year
2000
Tongue
English
Weight
748 KB
Volume
1
Category
Article
ISSN
1575-5460

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Local bifurcations of critical periods f
Local bifurcations of critical periods for cubic Liénard equations with cubic damping
✍ Lan Zou; Xingwu Chen; Weinian Zhang 📂 Article 📅 2008 🏛 Elsevier Science 🌐 English ⚖ 473 KB

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 eith