Bifurcation of Limit Cycles of a Class of Piecewise Linear Differential Systems in ℜ4 with Three Zones
Author
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-05-12
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
We study the bifurcation of limit cycles from periodic orbits of a four-dimensional system when the perturbation is piecewise linear with two switching boundaries.
Our main result shows that when the parameter is sufficiently small at most, six limit cycles can bifurcate from periodic orbits in a class of asymmetric piecewise linear perturbed systems, and, at most, three limit cycles can bifurcate from periodic orbits in another class of asymmetric piecewise linear perturbed systems.
Moreover, there are perturbed systems having six limit cycles.
The main technique is the averaging method.
American Psychological Association (APA)
Cheng, Yanyan. 2013. Bifurcation of Limit Cycles of a Class of Piecewise Linear Differential Systems in ℜ4 with Three Zones. Discrete Dynamics in Nature and Society،Vol. 2013, no. 2013, pp.1-9.
https://search.emarefa.net/detail/BIM-467932
Modern Language Association (MLA)
Cheng, Yanyan. Bifurcation of Limit Cycles of a Class of Piecewise Linear Differential Systems in ℜ4 with Three Zones. Discrete Dynamics in Nature and Society No. 2013 (2013), pp.1-9.
https://search.emarefa.net/detail/BIM-467932
American Medical Association (AMA)
Cheng, Yanyan. Bifurcation of Limit Cycles of a Class of Piecewise Linear Differential Systems in ℜ4 with Three Zones. Discrete Dynamics in Nature and Society. 2013. Vol. 2013, no. 2013, pp.1-9.
https://search.emarefa.net/detail/BIM-467932
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-467932