@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} }