Tracking the State of the Hindmarsh-Rose Neuron by Using the Coullet Chaotic System Based on a Single Input
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@Article{JICS-11-083,
author = {Jiawei Zhou, Xingping Zhu, Jin Liu, Yi Zhai and Zuolei Wang},
title = {Tracking the State of the Hindmarsh-Rose Neuron by Using the Coullet Chaotic System Based on a Single Input},
journal = {Journal of Information and Computing Science},
year = {2024},
volume = {11},
number = {2},
pages = {083--092},
abstract = { Based on Lyapunov stability theory, a partial synchronization scheme is proposed to track the
signal of Hindmarsh-Rose neuron using the Coullet system via only one single controller. Summation for the
series of error variables are employed to detect the degree of synchronization. Three cases are considered to
verify the proposed partial synchronization scheme. To demonstrate the effectiveness of the proposed method,
some simulation results are given. It is found that the arithmetic product of the gain coefficients dominate the
process and speed of synchronization of the two systems. The larger arithmetic product of the two gain
coefficients is used, the less time is required.
},
issn = {1746-7659},
doi = {https://doi.org/},
url = {http://global-sci.org/intro/article_detail/jics/22516.html}
}
TY - JOUR
T1 - Tracking the State of the Hindmarsh-Rose Neuron by Using the Coullet Chaotic System Based on a Single Input
AU - Jiawei Zhou, Xingping Zhu, Jin Liu, Yi Zhai and Zuolei Wang
JO - Journal of Information and Computing Science
VL - 2
SP - 083
EP - 092
PY - 2024
DA - 2024/01
SN - 11
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jics/22516.html
KW - chaos
KW - Hindmarsh-Rose system
KW - Coullet system
KW - partial synchronization.
AB - Based on Lyapunov stability theory, a partial synchronization scheme is proposed to track the
signal of Hindmarsh-Rose neuron using the Coullet system via only one single controller. Summation for the
series of error variables are employed to detect the degree of synchronization. Three cases are considered to
verify the proposed partial synchronization scheme. To demonstrate the effectiveness of the proposed method,
some simulation results are given. It is found that the arithmetic product of the gain coefficients dominate the
process and speed of synchronization of the two systems. The larger arithmetic product of the two gain
coefficients is used, the less time is required.
Jiawei Zhou, Xingping Zhu, Jin Liu, Yi Zhai and Zuolei Wang. (2024). Tracking the State of the Hindmarsh-Rose Neuron by Using the Coullet Chaotic System Based on a Single Input.
Journal of Information and Computing Science. 11 (2).
083-092.
doi:
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