On the Existence of Exactly $N$ Limit Cycles in Lienard Systems

Details On the Existence of Exactly $N$ Limit Cycles in Lienard Systems On the Existence of Exactly $N$ Limit Cycles in Lienard Systems

2010-02-27

arxiv.org/abs/1003.0114v1

Mathematics

Classical Analysis and ODEs

Latex 2e, 19 pages, To appear in Int. J. Pure and Applied Math. (2010)

Scientific paper

A theorem on the existence of exactly $N$ limit cycles around a critical
point for the Lienard system $\ddot{x}+f(x) \dot{x}+g(x) =0$ is proved. An
alogrithm on the determination of a desired number of limit cycles for this
system has been considered which might become relevant for a Lienard system
with incomplete data.

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