Stability and Bifurcation Analysis in a Class of Two-Neuron Networks with Resonant Bilinear Terms
Joint Authors
Source
Issue
Vol. 2011, Issue 2011 (31 Dec. 2011), pp.1-21, 21 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2011-06-21
Country of Publication
Egypt
No. of Pages
21
Main Subjects
Abstract EN
A class of two-neuron networks with resonant bilinear terms is considered.
The stability of the zero equilibrium and existence of Hopf bifurcation is studied.
It is shown that the zero equilibrium is locally asymptotically stable when the time delay is small enough, while change of stability of the zero equilibrium will cause a bifurcating periodic solution as the time delay passes through a sequence of critical values.
Some explicit formulae for determining the stability and the direction of the Hopf bifurcation periodic solutions bifurcating from Hopf bifurcations are obtained by using the normal form theory and center manifold theory.
Finally, numerical simulations supporting the theoretical analysis are carried out.
American Psychological Association (APA)
Xu, Changjin& He, Xiaofei. 2011. Stability and Bifurcation Analysis in a Class of Two-Neuron Networks with Resonant Bilinear Terms. Abstract and Applied Analysis،Vol. 2011, no. 2011, pp.1-21.
https://search.emarefa.net/detail/BIM-491462
Modern Language Association (MLA)
Xu, Changjin& He, Xiaofei. Stability and Bifurcation Analysis in a Class of Two-Neuron Networks with Resonant Bilinear Terms. Abstract and Applied Analysis No. 2011 (2011), pp.1-21.
https://search.emarefa.net/detail/BIM-491462
American Medical Association (AMA)
Xu, Changjin& He, Xiaofei. Stability and Bifurcation Analysis in a Class of Two-Neuron Networks with Resonant Bilinear Terms. Abstract and Applied Analysis. 2011. Vol. 2011, no. 2011, pp.1-21.
https://search.emarefa.net/detail/BIM-491462
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-491462