On Stability of Periodic Solutions of Lienard Type Equations
Joint Authors
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2017, Issue 2017 (31 Dec. 2017), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2017-11-13
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
We use the Floquet theory to analyze the stability of periodic solutions of Lienard type equations under the asymptotic linear growth of restoring force in this paper.
We find that the existence and the stability of periodic solutions are determined primarily by asymptotic behavior of damping term.
For special type of Lienard equation, the uniqueness and stability of periodic solutions are obtained.
Furthermore, the sharp rate of exponential decay of the stable periodic solutions is determined under suitable conditions imposed on restoring force.
American Psychological Association (APA)
Yin, Zijian& Chen, Hongbin. 2017. On Stability of Periodic Solutions of Lienard Type Equations. Discrete Dynamics in Nature and Society،Vol. 2017, no. 2017, pp.1-9.
https://search.emarefa.net/detail/BIM-1151155
Modern Language Association (MLA)
Yin, Zijian& Chen, Hongbin. On Stability of Periodic Solutions of Lienard Type Equations. Discrete Dynamics in Nature and Society No. 2017 (2017), pp.1-9.
https://search.emarefa.net/detail/BIM-1151155
American Medical Association (AMA)
Yin, Zijian& Chen, Hongbin. On Stability of Periodic Solutions of Lienard Type Equations. Discrete Dynamics in Nature and Society. 2017. Vol. 2017, no. 2017, pp.1-9.
https://search.emarefa.net/detail/BIM-1151155
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1151155