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Bifurcation of limit cycles from a center in two-parameter system

Bifurcation of limit cycles from a center in two-parameter system In this paper we consider a two-parameter perturbated system which takes the systems discussed in [1], [2], [3] as its special case. The bifurcation region of the limit cycles is given on the parameter plane. The author also studies the stability of the limit cycles. At the end of this paper the author discusses the difference of the bifurcation of the limit cycles from a center between the case of two-parameter and the case of one-parameter. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Acta Mathematicae Applicatae Sinica Springer Journals

Bifurcation of limit cycles from a center in two-parameter system

Acta Mathematicae Applicatae Sinica , Volume 6 (1) – Jul 15, 2005

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Publisher
Springer Journals
Copyright
Copyright © 1990 by Science Press, Beijing, China and Allerton Press, Inc., New York, U.S.A.
Subject
Mathematics; Applications of Mathematics; Math Applications in Computer Science; Theoretical, Mathematical and Computational Physics
ISSN
0168-9673
eISSN
1618-3932
DOI
10.1007/BF02014715
Publisher site
See Article on Publisher Site

Abstract

In this paper we consider a two-parameter perturbated system which takes the systems discussed in [1], [2], [3] as its special case. The bifurcation region of the limit cycles is given on the parameter plane. The author also studies the stability of the limit cycles. At the end of this paper the author discusses the difference of the bifurcation of the limit cycles from a center between the case of two-parameter and the case of one-parameter.

Journal

Acta Mathematicae Applicatae SinicaSpringer Journals

Published: Jul 15, 2005

References