Stability Switches and Hopf Bifurcation in a Coupled FitzHugh-Nagumo Neural System with Multiple Delays
Joint Authors
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-13, 13 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-07-08
Country of Publication
Egypt
No. of Pages
13
Main Subjects
Abstract EN
A FitzHugh-Nagumo (FHN) neural system with multiple delays has been proposed.
The number of equilibrium point is analyzed.
It implies that the neural system exhibits a unique equilibrium and three ones for the different values of coupling weight by employing the saddle-node bifurcation of nontrivial equilibrium point and transcritical bifurcation of trivial one.
Further, the stability of equilibrium point is studied by analyzing the corresponding characteristic equation.
Some stability criteria involving the multiple delays and coupling weight are obtained.
The results show that the neural system exhibits the delay-independence and delay-dependence stability.
Increasing delay induces the stability switching between resting state and periodic activity in some parameter regions of coupling weight.
Finally, numerical simulations are taken to support the theoretical results.
American Psychological Association (APA)
Yao, Shengwei& Tu, Huonian. 2014. Stability Switches and Hopf Bifurcation in a Coupled FitzHugh-Nagumo Neural System with Multiple Delays. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-13.
https://search.emarefa.net/detail/BIM-1034065
Modern Language Association (MLA)
Yao, Shengwei& Tu, Huonian. Stability Switches and Hopf Bifurcation in a Coupled FitzHugh-Nagumo Neural System with Multiple Delays. Abstract and Applied Analysis No. 2014 (2014), pp.1-13.
https://search.emarefa.net/detail/BIM-1034065
American Medical Association (AMA)
Yao, Shengwei& Tu, Huonian. Stability Switches and Hopf Bifurcation in a Coupled FitzHugh-Nagumo Neural System with Multiple Delays. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-13.
https://search.emarefa.net/detail/BIM-1034065
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1034065