On the Existence of Exactly $N$ Limit Cycles in Lienard Systems
Classical Analysis and ODEs
2010-03-02 v1 Dynamical Systems
Abstract
A theorem on the existence of exactly limit cycles around a critical point for the Lienard system 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.
Cite
@article{arxiv.1003.0114,
title = {On the Existence of Exactly $N$ Limit Cycles in Lienard Systems},
author = {Aniruddha Palit and Dhurjati prasad Datta},
journal= {arXiv preprint arXiv:1003.0114},
year = {2010}
}
Comments
Latex 2e, 19 pages, To appear in Int. J. Pure and Applied Math. (2010)