On the period function of Lienard systems

JOURNAL OF DIFFERENTIAL EQUATIONS

卷:152

Article

Sabatini, M

关键词: period function;    isochronous centers;    Lienard equation;    Rayleigh equation;    polynomial systems;   

DOI  :  10.1006/jdeq.1998.3520

来源: Elsevier

【 摘 要 】

We study the period function T of a center O of a Lienard system. A sufficient condition for the monotonicity of T, or for the isochronicity of O, is given. Such a condition is also necessary when f and g are analytic, and g is odd. In this case a characterization of isochronous centers of Lienard systems is given. Strict monotonicity and global monotonicity of T are also investigated. (C) 1999 Academic Press.

【 授权许可】

Free