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.
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Xiao, M. (2011). Hopf Bifurcation Control for a Single Neuron Model with Delay-Dependent Parameters via State Feedback. In: Liu, D., Zhang, H., Polycarpou, M., Alippi, C., He, H. (eds) Advances in Neural Networks – ISNN 2011. ISNN 2011. Lecture Notes in Computer Science, vol 6675. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-21105-8_17
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DOI: https://doi.org/10.1007/978-3-642-21105-8_17
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-21104-1
Online ISBN: 978-3-642-21105-8
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