IJPAM: Volume 59, No. 4 (2010)
ON THE EXISTENCE OF EXACTLY
LIMIT CYCLES
IN LIENARD SYSTEMS

IN LIENARD SYSTEMS
Aniruddha Palit
, Dhurjati Prasad Datta
Department of Mathematics
Surya Sen Mahavidyalaya
Siliguri, West Bengal, PIN-734004, INDIA
e-mail: mail2apalit@gmail.com
Department of Mathematics
University of North Bengal
P.O. North Bengal University, Raja Rammohunpur
Dist. Darjeeling, West Bengal, PIN-734013, INDIA
e-mail: dp_datta@yahoo.com



Surya Sen Mahavidyalaya
Siliguri, West Bengal, PIN-734004, INDIA
e-mail: mail2apalit@gmail.com

University of North Bengal
P.O. North Bengal University, Raja Rammohunpur
Dist. Darjeeling, West Bengal, PIN-734013, INDIA
e-mail: dp_datta@yahoo.com
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.
Received: February 6, 2010
AMS Subject Classification: 34A34, 70K05
Key Words and Phrases: autonomous system, Lienard equation, limit cycle
Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2010
Volume: 59
Issue: 4