Chaos and Hopf Bifurcation Analysis of the Delayed Local Lengyel-Epstein System
Joint Authors
Lin, Yiping
Cao, Jinde
Cao, Jingnan
Liu, Qingsong
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-03-30
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Abstract EN
The local reaction-diffusion Lengyel-Epstein system with delay is investigated.
By choosing τ as bifurcating parameter, we show that Hopf bifurcations occur when time delay crosses a critical value.
Moreover, we derive the equation describing the flow on the center manifold; then we give the formula for determining the direction of the Hopf bifurcation and the stability of bifurcating periodic solutions.
Finally, numerical simulations are performed to support the analytical results and the chaotic behaviors are observed.
American Psychological Association (APA)
Liu, Qingsong& Lin, Yiping& Cao, Jingnan& Cao, Jinde. 2014. Chaos and Hopf Bifurcation Analysis of the Delayed Local Lengyel-Epstein System. Discrete Dynamics in Nature and Society،Vol. 2014, no. 2014, pp.1-7.
https://search.emarefa.net/detail/BIM-448856
Modern Language Association (MLA)
Liu, Qingsong…[et al.]. Chaos and Hopf Bifurcation Analysis of the Delayed Local Lengyel-Epstein System. Discrete Dynamics in Nature and Society No. 2014 (2014), pp.1-7.
https://search.emarefa.net/detail/BIM-448856
American Medical Association (AMA)
Liu, Qingsong& Lin, Yiping& Cao, Jingnan& Cao, Jinde. Chaos and Hopf Bifurcation Analysis of the Delayed Local Lengyel-Epstein System. Discrete Dynamics in Nature and Society. 2014. Vol. 2014, no. 2014, pp.1-7.
https://search.emarefa.net/detail/BIM-448856
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-448856
