Hopf bifurcation control for a single neuron model with delay-dependent parameters via state feedback

Authors:
Min Xiao
Affiliations:
School of Mathematics and Information Technology, Nanjing Xiaozhuang University, Nanjing, China
Venue:
ISNN'11 Proceedings of the 8th international conference on Advances in neural networks - Volume Part I
Year:
2011

Citing 4
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Abstract

This paper deals with Hopf bifurcation control for a single neuron model with delay-dependent parameters. It has been shown that the system without control cannot guarantee a stationary state. As the range parameter of the system passes a critical value, Hopf bifurcation occurs early. To control the Hopf bifurcation, a state feedback controller is proposed to postpone the onset of undesirable Hopf bifurcation. Numerical simulation results confirm that the state feedback is efficient in controlling Hopf bifurcation.