On stability of periodic solutions of Lienard type equations
type: Item
instance of: scholarly article
title: On stability of periodic solutions of Lienard type equations
zbMATH Open document ID: 1412.34177
DOI: 10.1155/2017/1805760
author: Zijian Yin
author: Hongbin Chen
published in: Discrete Dynamics in Nature and Society
publication date: 2018-09-27T00:00:00Z
review text: Summary: 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.
Mathematics Subject Classification ID: 34D20
Mathematics Subject Classification ID: 34C25
zbMATH DE Number: 6944805
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2017/1805760
OpenAlex ID: W2768131920
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description: scientific article; zbMATH DE number 6944805