Transition to complete synchronization via near-synchronization in two coupled chaotic neurons
Wang Qing-Yun (王青云)ab, Lu Qi-Shao (陆启韶)a, Wang Hai-Xia (王海侠)a
a School of Science, Beijing University of Aeronautics and Astronautics, Beijing 100083, China; b Inner Mongolia Finance and Economics College, Huhhot 010051, China
Abstract The synchronization transition in two coupled chaotic Morris--Lecar (ML) neurons with gap junction is studied with the coupling strength increasing. The conditional Lyapunov exponents,along with the synchronization errors are calculated to diagnose synchronization of two coupled chaotic ML neurons. As a result, it is shown that the increase in the coupling strength leads to incoherence, then induces a transition process consisting of three different synchronization states in succession, namely, burst synchronization, near-synchronization and embedded burst synchronization, and achieves complete synchronization of two coupled neurons finally.These sequential transitions to synchronization reveal a new transition route from incoherence to complete synchronization in coupled systems with multi-time scales.
Received: 28 December 2004
Revised: 21 March 2005
Accepted manuscript online:
Fund: Project supported by the National Natural Science Foundation of China (Grant No 10432010).
Cite this article:
Wang Qing-Yun (王青云), Lu Qi-Shao (陆启韶), Wang Hai-Xia (王海侠) Transition to complete synchronization via near-synchronization in two coupled chaotic neurons 2005 Chinese Physics 14 2189
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