%0 Journal Article %T On the Existence of Exactly $N$ Limit Cycles in Lienard Systems %A Aniruddha Palit %A Dhurjati prasad Datta %J Mathematics %D 2010 %I arXiv %X 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. %U http://arxiv.org/abs/1003.0114v1