Centers and Isochronous Centers of Liénard Systems

For holomorphic Liénard equations, necessary and sufficient conditions for the existence of a center and an isochronous center are obtained without calculating the focus quantities and the isochronicity constants.

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Bibliographic Details
Published in:Differential equations 2019-03, Vol.55 (3), p.283-293
Main Authors: Amel’kin, V. V., Rudenok, A. E.
Format: Article
Language:English
Subjects:
Difference and Functional Equations
Mathematics
Mathematics and Statistics
Ordinary Differential Equation
Ordinary Differential Equations
Partial Differential Equations
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Description
Summary:For holomorphic Liénard equations, necessary and sufficient conditions for the existence of a center and an isochronous center are obtained without calculating the focus quantities and the isochronicity constants.
ISSN:0012-2661
1608-3083
DOI:10.1134/S0012266119030017