The center conditions for a Liénard System

We obtain necessary and sufficient coefficient conditions for a center at the origin for a Liénard system with nonlinearities of degree six. The necessity of the conditions is derived from the first seven focus quantities and their sufficiency is proved by Cherkas's method.

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Bibliographic Details
Published in:Computers & mathematics with applications (1987) 2006-08, Vol.52 (3), p.363-374
Main Authors: Cherkas, L.A., Romanovski, V.G.
Format: Article
Language:English
Subjects:
Center problem
Coefficients
Liénard system
Local integrability
Mathematical analysis
Mathematical models
Nonlinearity
Origins
Polynomial systems
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Description
Summary:We obtain necessary and sufficient coefficient conditions for a center at the origin for a Liénard system with nonlinearities of degree six. The necessity of the conditions is derived from the first seven focus quantities and their sufficiency is proved by Cherkas's method.
ISSN:0898-1221
1873-7668
DOI:10.1016/j.camwa.2006.03.018