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Local bifurcation of critical periods for a class of Liénard equations

Local bifurcation of critical periods for a class of Liénard equations In this paper, we study the local bifurcation of critical periods near the nondegenerate center (the origin) of a class of Liénard equations with degree 2n, and prove that at most 2n − 2 critical periods (taken into account multiplicity) can be produced from a weak center of finite order. We also prove that it can have exactly 2n − 2 critical periods near the origin. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Acta Mathematicae Applicatae Sinica Springer Journals

Local bifurcation of critical periods for a class of Liénard equations

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Publisher
Springer Journals
Copyright
Copyright © 2014 by Institute of Applied Mathematics, Academy of Mathematics and System Sciences, Chinese Academy of Sciences and Springer-Verlag Berlin Heidelberg
Subject
Mathematics; Applications of Mathematics; Math Applications in Computer Science; Theoretical, Mathematical and Computational Physics
ISSN
0168-9673
eISSN
1618-3932
DOI
10.1007/s10255-014-0407-7
Publisher site
See Article on Publisher Site

Abstract

In this paper, we study the local bifurcation of critical periods near the nondegenerate center (the origin) of a class of Liénard equations with degree 2n, and prove that at most 2n − 2 critical periods (taken into account multiplicity) can be produced from a weak center of finite order. We also prove that it can have exactly 2n − 2 critical periods near the origin.

Journal

Acta Mathematicae Applicatae SinicaSpringer Journals

Published: Nov 6, 2014

References