Analytic properties of the return mapping of Lienard Equations

Details Analytic properties of the return mapping of Lienard Equations Analytic properties of the return mapping of Lienard Equations

2001-10-12

arxiv.org/abs/math/0110132v1

Mathematics

Dynamical Systems

16 pages, no figures

Scientific paper

An effective version of Bautin's theory with explicit estimates on the size
of the neighborhood on which the number of limit cycles is controlled is given
here for the case of Lienard Systems. The Bautin ideal is computed and the
conjecture of W. de Melo-A. Lins Neto-C.C. Pugh is checked at any order of the
perturbation.

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