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

Abstract

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.

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

References in corpus (1)

• On the determination of exact number of limit cycles in Lienard Systems

Cited by in corpus (1)

• On the determination of exact number of limit cycles in Lienard Systems