Unidirectional synchronization of Hodgkin-Huxley neurons exposed to ELF electric field

Jiang Wang; Yanqiu Che; Si Si Zhou; Bin Deng

doi:10.1016/j.chaos.2007.05.016

Unidirectional synchronization of Hodgkin-Huxley neurons exposed to ELF electric field

Jiang Wang
, Yanqiu Che
, Si Si Zhou
, Bin Deng

Research output: Contribution to journal › Article › peer-review

20 Scopus citations

Abstract

In this paper, a hybrid control strategy, H_∞ variable universe adaptive fuzzy control, is derived and applied to synchronize two Hodgkin-Huxley (HH) neurons exposed to external electric field. Firstly, the modified model of HH neuron exposed to extremely low frequency (ELF) external electric field is established and its periodic and chaotic dynamics in response to sinusoidal electric field stimulation are described. And then the statement of the problem for unidirectional synchronization of two HH neurons is given. Finally H_∞ variable universe adaptive fuzzy control is designed to synchronize the HH systems and the simulation results demonstrate the effectiveness of the proposed control method.

Original language	English (US)
Pages (from-to)	1335-1345
Number of pages	11
Journal	Chaos, Solitons and Fractals
Volume	39
Issue number	3
DOIs	https://doi.org/10.1016/j.chaos.2007.05.016
State	Published - Feb 15 2009

All Science Journal Classification (ASJC) codes

Statistical and Nonlinear Physics
General Mathematics
General Physics and Astronomy
Applied Mathematics

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10.1016/j.chaos.2007.05.016

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title = "Unidirectional synchronization of Hodgkin-Huxley neurons exposed to ELF electric field",

abstract = "In this paper, a hybrid control strategy, H∞ variable universe adaptive fuzzy control, is derived and applied to synchronize two Hodgkin-Huxley (HH) neurons exposed to external electric field. Firstly, the modified model of HH neuron exposed to extremely low frequency (ELF) external electric field is established and its periodic and chaotic dynamics in response to sinusoidal electric field stimulation are described. And then the statement of the problem for unidirectional synchronization of two HH neurons is given. Finally H∞ variable universe adaptive fuzzy control is designed to synchronize the HH systems and the simulation results demonstrate the effectiveness of the proposed control method.",

author = "Jiang Wang and Yanqiu Che and Zhou, \{Si Si\} and Bin Deng",

note = "Funding Information: The authors gratefully acknowledge the support of the NSFC (No. 50537030).",

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doi = "10.1016/j.chaos.2007.05.016",

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T1 - Unidirectional synchronization of Hodgkin-Huxley neurons exposed to ELF electric field

AU - Wang, Jiang

AU - Che, Yanqiu

AU - Zhou, Si Si

AU - Deng, Bin

N1 - Funding Information: The authors gratefully acknowledge the support of the NSFC (No. 50537030).

PY - 2009/2/15

Y1 - 2009/2/15

N2 - In this paper, a hybrid control strategy, H∞ variable universe adaptive fuzzy control, is derived and applied to synchronize two Hodgkin-Huxley (HH) neurons exposed to external electric field. Firstly, the modified model of HH neuron exposed to extremely low frequency (ELF) external electric field is established and its periodic and chaotic dynamics in response to sinusoidal electric field stimulation are described. And then the statement of the problem for unidirectional synchronization of two HH neurons is given. Finally H∞ variable universe adaptive fuzzy control is designed to synchronize the HH systems and the simulation results demonstrate the effectiveness of the proposed control method.

AB - In this paper, a hybrid control strategy, H∞ variable universe adaptive fuzzy control, is derived and applied to synchronize two Hodgkin-Huxley (HH) neurons exposed to external electric field. Firstly, the modified model of HH neuron exposed to extremely low frequency (ELF) external electric field is established and its periodic and chaotic dynamics in response to sinusoidal electric field stimulation are described. And then the statement of the problem for unidirectional synchronization of two HH neurons is given. Finally H∞ variable universe adaptive fuzzy control is designed to synchronize the HH systems and the simulation results demonstrate the effectiveness of the proposed control method.

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JO - Chaos, Solitons and Fractals

JF - Chaos, Solitons and Fractals

IS - 3

ER -

Unidirectional synchronization of Hodgkin-Huxley neurons exposed to ELF electric field

Abstract

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