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The period function of Liénard systems

Published online by Cambridge University Press:  30 January 2013

Li-Jun Yang  and
Xian-Wu Zeng
Li-Jun Yang
Affiliation:
Department of Mathematical Sciences, Tsinghua University, Beijing 100084, People's Republic of China (lyang@math.tsinghua.edu.cn)
Xian-Wu Zeng
Affiliation:
Department of Mathematics, Wuhan University, Wuhan 430072, People's Republic of China
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Abstract

The period function of Liénard systems ẋ = −y + F(x), ẏ = g(x) associated with a centre is considered and sufficient conditions are presented for the period function to be strictly and globally monotone increasing and to have at least one critical point. Examples of applications and remarks on related work are also given.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 143 , Issue 1 , February 2013 , pp. 205 - 221
Copyright
Copyright © Royal Society of Edinburgh 2013

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