Hopf Bifurcation Analysis and Anticontrol of Hopf Circles of the Rössler-Like System
Joint Authors
Source
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-16, 16 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-07-24
Country of Publication
Egypt
No. of Pages
16
Main Subjects
Abstract EN
A new Rössler-like system is constructed by the linear feedback control scheme in this paper.
As well, it exhibits complex dynamical behaviors, such as bifurcation, chaos, and strange attractor.
By virtue of the normal form theory, its Hopf bifurcation and stability are investigated in detail.
Consequently, the stable periodic orbits are bifurcated.
Furthermore, the anticontrol of Hopf circles is achieved between the new Rössler-like system and the original Rössler one via a modified projective synchronization scheme.
As a result, a stable Hopf circle is created in the controlled Rössler system.
The corresponding numerical simulations are presented, which agree with the theoretical analysis.
American Psychological Association (APA)
Wu, Ranchao& Li, Xiang. 2012. Hopf Bifurcation Analysis and Anticontrol of Hopf Circles of the Rössler-Like System. Abstract and Applied Analysis،Vol. 2012, no. 2012, pp.1-16.
https://search.emarefa.net/detail/BIM-464279
Modern Language Association (MLA)
Wu, Ranchao& Li, Xiang. Hopf Bifurcation Analysis and Anticontrol of Hopf Circles of the Rössler-Like System. Abstract and Applied Analysis No. 2012 (2012), pp.1-16.
https://search.emarefa.net/detail/BIM-464279
American Medical Association (AMA)
Wu, Ranchao& Li, Xiang. Hopf Bifurcation Analysis and Anticontrol of Hopf Circles of the Rössler-Like System. Abstract and Applied Analysis. 2012. Vol. 2012, no. 2012, pp.1-16.
https://search.emarefa.net/detail/BIM-464279
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-464279
