TY - JOUR
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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U2 - 10.1016/j.chaos.2007.05.016
DO - 10.1016/j.chaos.2007.05.016
M3 - Article
AN - SCOPUS:62949107135
SN - 0960-0779
VL - 39
SP - 1335
EP - 1345
JO - Chaos, Solitons and Fractals
JF - Chaos, Solitons and Fractals
IS - 3
ER -