![](/images/graphics-bg.png)
Bifurcation Analysis and Chaos Control in Genesio System with Delayed Feedback
Author
Source
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-02-08
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
We investigate the local Hopf bifurcation in Genesio system with delayed feedback control.
We choose the delay as the parameter, and the occurrence of local Hopf bifurcations are verified.
By using the normal form theory and the center manifold theorem, we obtain the explicit formulae for determining the stability and direction of bifurcated periodic solutions.
Numerical simulations indicate that delayed feedback control plays an effective role in control of chaos.
American Psychological Association (APA)
Guan, Junbiao. 2012. Bifurcation Analysis and Chaos Control in Genesio System with Delayed Feedback. ISRN Mathematical Physics،Vol. 2012, no. 2012, pp.1-12.
https://search.emarefa.net/detail/BIM-502755
Modern Language Association (MLA)
Guan, Junbiao. Bifurcation Analysis and Chaos Control in Genesio System with Delayed Feedback. ISRN Mathematical Physics No. 2012 (2012), pp.1-12.
https://search.emarefa.net/detail/BIM-502755
American Medical Association (AMA)
Guan, Junbiao. Bifurcation Analysis and Chaos Control in Genesio System with Delayed Feedback. ISRN Mathematical Physics. 2012. Vol. 2012, no. 2012, pp.1-12.
https://search.emarefa.net/detail/BIM-502755
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-502755