Limit cycles in two types of symmetric Liénard systems

Jiang, J., Han, M., Yu, P. and Lynch, Stephen (2007) Limit cycles in two types of symmetric Liénard systems. International journal of bifurcation and chaos, 17 (6). pp. 2169-2174. ISSN 1793-6551

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Abstract

Liénard systems and their generalized forms are classical and important models of nonlinear oscillators, and have been widely studied by mathematicians and scientists. The main problem considered is the maximal number of limit cycles that the system can have. In this paper, two types of symmetric polynomial Liénard systems are investigated and the maximal number of limit cycles bifurcating from Hopf singularity is obtained. A global result is also presented.

Item Type:	Article
Peer-reviewed:	No
Date Deposited:	24 Mar 2010 13:58
Publisher:	World Scientific Publishing
Additional Information:	Full-text of this article is not available in this e-prints service. This article was originally published following peer-review in International Journal of Bifurcation and Chaos, published by and copyright World Scientific Publishing.
Divisions:	Faculties > Science and Engineering Research Centres > Centre for Advanced Computational Science
URI:	https://e-space.mmu.ac.uk/id/eprint/94843
DOI:	https://doi.org/10.1142/S0218127407018300
ISSN	1793-6551

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