Stability and Bifurcation of a Class of Discrete-Time Cohen-Grossberg Neural Networks with Delays
Joint Authors
Liu, Qiming
Wang, Zhiping
Xu, Rui
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2011, Issue 2011 (31 Dec. 2011), pp.1-14, 14 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2011-01-18
Country of Publication
Egypt
No. of Pages
14
Main Subjects
Abstract EN
A class of discrete-time Cohen-Grossberg neural networks with delays is investigated in this paper.
By analyzing the corresponding characteristic equations, the asymptotical stability of the null solution and the existence of Neimark-Sacker bifurcations are discussed.
By applying the normal form theory and the center manifold theorem, the direction of the Neimark-Sacker bifurcation and the stability of bifurcating periodic solutions are obtained.
Numerical simulations are given to illustrate the obtained results.
American Psychological Association (APA)
Liu, Qiming& Xu, Rui& Wang, Zhiping. 2011. Stability and Bifurcation of a Class of Discrete-Time Cohen-Grossberg Neural Networks with Delays. Discrete Dynamics in Nature and Society،Vol. 2011, no. 2011, pp.1-14.
https://search.emarefa.net/detail/BIM-469331
Modern Language Association (MLA)
Liu, Qiming…[et al.]. Stability and Bifurcation of a Class of Discrete-Time Cohen-Grossberg Neural Networks with Delays. Discrete Dynamics in Nature and Society No. 2011 (2011), pp.1-14.
https://search.emarefa.net/detail/BIM-469331
American Medical Association (AMA)
Liu, Qiming& Xu, Rui& Wang, Zhiping. Stability and Bifurcation of a Class of Discrete-Time Cohen-Grossberg Neural Networks with Delays. Discrete Dynamics in Nature and Society. 2011. Vol. 2011, no. 2011, pp.1-14.
https://search.emarefa.net/detail/BIM-469331
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-469331
