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Neural Processing Letters

Erschienen in:

01.04.2019

Dynamic Optimization of Neuron Systems with Leakage Delay and Distributed Delay via Hybrid Control

verfasst von: Shuo Shi, Min Xiao, Binbin Tao, Jinxing Lin, Zunshui Cheng

Erschienen in: Neural Processing Letters | Ausgabe 3/2019

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This paper proposes a neuron system with both leakage delay and distributed delay. Typical dynamics including the local stability and Hopf bifurcation analysis are investigated. Then, a hybrid controller is designed to control the Hopf bifurcation of the proposed system. By regarding the leakage delay as the bifurcation parameter and further probing into the associated characteristic equation, we find that the system can generate a Hopf bifurcation when the bifurcation parameter passes through some critical value. Besides, the controller is capable of altering the bifurcation point and achieving desirable dynamics by changing the feedback gain parameter. Finally, numerical simulations are illustrated to substantiate the theoretical analysis.

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Titel: Dynamic Optimization of Neuron Systems with Leakage Delay and Distributed Delay via Hybrid Control
verfasst von: Shuo Shi
Min Xiao
Binbin Tao
Jinxing Lin
Zunshui Cheng
Publikationsdatum: 01.04.2019
Verlag: Springer US
Erschienen in: Neural Processing Letters / Ausgabe 3/2019
Print ISSN: 1370-4621
Elektronische ISSN: 1573-773X
DOI: https://doi.org/10.1007/s11063-019-10023-x

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