Suppression of Chaos and Phase Locking in Two Coupled Nonidentical Neurons under Periodic Input
ZHENG Yan-Hong1,2, LU Qi-Shao1,WANG Qing-Yun3
¹School of Science, Beijing University of Aeronautics and Astronautics, Beijing 100083
²School of Mathematics and Computer Science, Fujian Normal University, Fuzhou 350007
³Inner Mongolia Finance and Economics College, Huhhot 010051
Suppression of Chaos and Phase Locking in Two Coupled Nonidentical Neurons under Periodic Input
ZHENG Yan-Hong1,2;LU Qi-Shao1,WANG Qing-Yun3
¹School of Science, Beijing University of Aeronautics and Astronautics, Beijing 100083
²School of Mathematics and Computer Science, Fujian Normal University, Fuzhou 350007
³Inner Mongolia Finance and Economics College, Huhhot 010051
Abstract： Dynamical behaviour of two coupled neurons with at least one of them being chaotic is presented. Bifurcation diagrams and Lyapunov exponents are calculated to diagnose the dynamical behaviour of the coupled neurons with the increasing coupling strength. It is found that when the coupling strength increases, a chaotic neuron can be controlled by the coupling between neurons. At the same time, phase locking is studied by the maxima of the differences of instantaneous phases and average frequencies between two coupled neurons, and the inherent connection of phase locking and the suppression of chaos is formulated. It is observed that the onset of phase locking is closely related to the suppression of chaos. Finally, a way for suppression of chaos in two coupled nonidentical neurons under periodic input is suggested.
ZHENG Yan-Hong;LU Qi-Shao;WANG Qing-Yun. Suppression of Chaos and Phase Locking in Two Coupled Nonidentical Neurons under Periodic Input[J]. 中国物理快报, 2006, 23(12): 3176-3179.
ZHENG Yan-Hong, LU Qi-Shao, WANG Qing-Yun. Suppression of Chaos and Phase Locking in Two Coupled Nonidentical Neurons under Periodic Input. Chin. Phys. Lett., 2006, 23(12): 3176-3179.
2006, Vol. 23 
