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How to estimate the number of limit cycles in Lienard systems with a small parameter

How to estimate the number of limit cycles in Lienard systems with a small parameter To estimate the number of limit cycles and locate them for polynomial Lienard systems with a small parameter in the case of a perturbation of a center and in the case of the existence of relaxation limit cycles, we develop a method for constructing a modified Dulac function in the form of a series in the small parameter. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Differential Equations Springer Journals

How to estimate the number of limit cycles in Lienard systems with a small parameter

Differential Equations , Volume 47 (2) – Apr 8, 2011

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References (4)

Publisher
Springer Journals
Copyright
Copyright © 2011 by Pleiades Publishing, Ltd.
Subject
Mathematics; Difference and Functional Equations; Ordinary Differential Equations; Partial Differential Equations
ISSN
0012-2661
eISSN
1608-3083
DOI
10.1134/S001226611102008X
Publisher site
See Article on Publisher Site

Abstract

To estimate the number of limit cycles and locate them for polynomial Lienard systems with a small parameter in the case of a perturbation of a center and in the case of the existence of relaxation limit cycles, we develop a method for constructing a modified Dulac function in the form of a series in the small parameter.

Journal

Differential EquationsSpringer Journals

Published: Apr 8, 2011

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