| Transition to complete synchronization via near-synchronization in two coupled chaotic neurons |
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| 引用本文： | 王青云,陆启韶,王海侠. Transition to complete synchronization via near-synchronization in two coupled chaotic neurons[J]. 中国物理, 2005, 14(11): 2189-2195 |
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| 作者姓名： | 王青云 陆启韶 王海侠 |
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| 作者单位： | School of Science, Beijing University of Aeronautics and Astronautics, Beijing 100083, China;Inner Mongolia Finance and Economics College, Huhhot 010051, China;School of Science, Beijing University of Aeronautics and Astronautics, Beijing 100083, China;School of Science, Beijing University of Aeronautics and Astronautics, Beijing 100083, China |
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| 基金项目： | 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.
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| 关 键 词： | 无序神经细胞 同步转换 振荡器 无序系统 ML神经元 |
| 收稿时间： | 2004-12-28 |
| 修稿时间： | 2004-12-282005-03-21 |
Transition to complete synchronization via near-synchronization in two coupled chaotic neurons |
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| Wang Qing-Yun,Lu Qi-Shao and Wang Hai-Xia. Transition to complete synchronization via near-synchronization in two coupled chaotic neurons[J]. Chinese Physics, 2005, 14(11): 2189-2195 |
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| Authors: | Wang Qing-Yun Lu Qi-Shao Wang Hai-Xia |
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| Affiliation: | School of Science, Beijing University of Aeronautics and Astronautics, Beijing 100083, China; School of Science, Beijing University of Aeronautics and Astronautics, Beijing 100083, China;Inner Mongolia Finance and Economics College, Huhhot 010051, China |
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| 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. |
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| Keywords: | synchronization transition neuron coupling |
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