Control of Hopf Bifurcation in Autonomous System Based on Washout Filter
Joint Authors
Chu, Yandong
Xinlei, An
Yu, Jianning
Yingxiang, Chang
Du, Wenju
Jiangang, Zhang
Source
Journal of Applied Mathematics
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-16, 16 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-11-02
Country of Publication
Egypt
No. of Pages
16
Main Subjects
Abstract EN
In order to further understand a Lorenz-like system, we study the stability of the equilibrium points and the existence of Hopf bifurcation by center manifold theorem and normal form theory.
More precisely, we designed a washout controller such that the equilibrium E0 undergoes a controllable Hopf bifurcation, and by adjusting the controller parameters, we delayed Hopf bifurcation phenomenon of the equilibrium E+.
Besides, numerical simulation is given to illustrate the theoretical analysis.
Finally, two possible electronic circuits are given to realize the uncontrolled and the controlled systems.
American Psychological Association (APA)
Du, Wenju& Chu, Yandong& Jiangang, Zhang& Yingxiang, Chang& Yu, Jianning& Xinlei, An. 2013. Control of Hopf Bifurcation in Autonomous System Based on Washout Filter. Journal of Applied Mathematics،Vol. 2013, no. 2013, pp.1-16.
https://search.emarefa.net/detail/BIM-475090
Modern Language Association (MLA)
Du, Wenju…[et al.]. Control of Hopf Bifurcation in Autonomous System Based on Washout Filter. Journal of Applied Mathematics No. 2013 (2013), pp.1-16.
https://search.emarefa.net/detail/BIM-475090
American Medical Association (AMA)
Du, Wenju& Chu, Yandong& Jiangang, Zhang& Yingxiang, Chang& Yu, Jianning& Xinlei, An. Control of Hopf Bifurcation in Autonomous System Based on Washout Filter. Journal of Applied Mathematics. 2013. Vol. 2013, no. 2013, pp.1-16.
https://search.emarefa.net/detail/BIM-475090
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-475090
