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

作者：Zhang Chunrui; Zhang Yazhuo; Zheng Baodong^*

来源：Journal of Computational and Applied Mathematics, 2009, 229(1): 264-273.

DOI：10.1016/j.cam.2008.10.048

• Coupled oscillator
• Symmetry
• Delay differential equation
• Stability
• Hopf bifurcation
• Periodic solution

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.

• 出版日期2009-7-1
• 单位哈尔滨工业大学