中国物理B ›› 2005, Vol. 14 ›› Issue (11): 2189-2195.doi: 10.1088/1009-1963/14/11/008

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Transition to complete synchronization via near-synchronization in two coupled chaotic neurons

陆启韶1, 王海侠1, 王青云2   

  1. (1)School of Science, Beijing University of Aeronautics and Astronautics, Beijing 100083, China; (2)School of Science, Beijing University of Aeronautics and Astronautics, Beijing 100083, China;Inner Mongolia Finance and Economics College, Huhhot 010051, China
  • 收稿日期:2004-12-28 修回日期:2005-03-21 出版日期:2005-11-20 发布日期:2005-11-20
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant No 10432010).

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   

  1. a School of Science, Beijing University of Aeronautics and Astronautics, Beijing 100083, China; b Inner Mongolia Finance and Economics College, Huhhot 010051, China
  • Received:2004-12-28 Revised:2005-03-21 Online:2005-11-20 Published:2005-11-20
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant No 10432010).

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摘要： 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.

关键词: synchronization transition, neuron coupling

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.

Key words: synchronization transition, neuron coupling

中图分类号:  (Synchronization; coupled oscillators)

  • 05.45.Xt
87.19.L- (Neuroscience) 87.19.R- (Mechanical and electrical properties of tissues and organs) 87.19.Ff (Muscles) 87.10.-e (General theory and mathematical aspects)