On the Period Function of Liénard Systems

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Abstract:

We study the period function T of a center O of a Liénard 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 Liénard systems is given. Strict monotonicity and global monotonicity of T are also investigated. Copyright 1999 Academic Press.

Document Type: Research Article

Affiliations: Dipartimento di Matematica, Università di Trento, Povo, (TN), I-38050, Italy

Publication date: March 1, 1999

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