A model in a coupled system of simple neural oscillators with delays

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:229

Article

Zhang, Chunrui²  Zhang, Yazhuo¹  Zheng, Baodong¹ 

[1] Harbin Inst Technol, Dept Math, Harbin 150001, Peoples R China

[2] NE Forestry Univ, Dept Math, Harbin 150040, Peoples R China

关键词: Coupled oscillator;    Symmetry;    Delay differential equation;    Stability;    Hopf bifurcation;    Periodic solution;   

DOI  :  10.1016/j.cam.2008.10.048

来源: Elsevier

【 摘 要 】

We consider a coupled system of simple neural oscillators. Using the symmetric functional differential equation theories of Wu U. Wu, Symmetric functional differential equations and neural networks with memory, Transactions of the American Mathematical Society 350 (12) (1998) 4799-4838], we demonstrate the multiple Hopf bifurcations of the equilibrium at the origin. The existence of multiple branches of bifurcating periodic solution is obtained. Then some numerical simulations support our analysis results. (C) 2008 Elsevier B.V. All rights reserved.

【 授权许可】

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