Hopf-zero bifurcation in a generalized Gopalsamy neural network model
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- 作者：Yuting Ding (12) yuting840810@163.com
Weihua Jiang (1)
Pei Yu (2) - 关键词：Neural network model – ; Hopf ; zero bifurcation – ; Normal form – ; Multiple time scales – ; Center manifold reduction
- 刊名：Nonlinear Dynamics
- 出版年：2012
- 出版时间：October 2012
- 年：2012
- 卷：70
- 期：2
- 页码：1037-1050
- 全文大小：578.0 KB
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- ISSN：1573-269X
文摘
In this paper, we study Hopf-zero bifurcation in a generalized Gopalsamy neural network model. By using multiple time scales and center manifold reduction methods, we obtain the normal forms near a Hopf-zero critical point. A comparison between these two methods shows that the two normal forms are equivalent. Moreover, bifurcations are classified in two-dimensional parameter space near the critical point, and numerical simulations are presented to demonstrate the applicability of the theoretical results.