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Cognitive Neurodynamics
Erschienen in: Cognitive Neurodynamics 3/2021

25.08.2020 | Brief Communication

Anti-control of periodic firing in HR model in the aspects of position, amplitude and frequency

verfasst von: Tao Dong, Huiyun Zhu

Erschienen in: Cognitive Neurodynamics | Ausgabe 3/2021

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Abstract

This paper proposes a novel controller to control position, amplitude and frequency of periodic firing activity in Hindmarsh–Rose model based on Hopf bifurcation theory which is composed of linear control gain and nonlinear control gain. First, we select the activation of the fast ion channel as control parameter. Based on explicit criterion of Hopf bifurcation, a series of conditions are obtained to derive the linear gains of controller responsible for control of the location where the periodic firing activity occurs. Then, based on the control parameter, a series of conditions are obtained to derive the nonlinear gains of controller responsible for controlling the amplitude and frequency of periodic firing activity by using center manifold and normal form. Finally, the numerical experiments show that our controller can make the periodic firing activity occur at designed value and control the amplitude and frequency of periodic firing activity by adjusting nonlinear control gain of controller.
Vorheriger Artikel Aperiodic stochastic resonance in neural information processing with Gaussian colored noise

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Metadaten
Titel
Anti-control of periodic firing in HR model in the aspects of position, amplitude and frequency
verfasst von
Tao Dong
Huiyun Zhu
Publikationsdatum
25.08.2020
Verlag
Springer Netherlands
Erschienen in
Cognitive Neurodynamics / Ausgabe 3/2021
Print ISSN: 1871-4080
Elektronische ISSN: 1871-4099
DOI
https://doi.org/10.1007/s11571-020-09627-0

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