| An Approach to Analyse Phase Synchronization in Oscillator Networks with Weak Coupling |
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| 作者姓名： | 张建宝 刘曾荣 李莹 |
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| 作者单位： | [1]Institute of Systems Biology, Shanghai University, Shanghai 200444 [2]College of Sciences, Shanghai University, Shanghai 200444 |
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| 基金项目： | Supported by National Natural Science Foundation of China under Grant Nos 10372054,70431002 and 10672093. |
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| 摘 要： |
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| 关 键 词： | 相位同步化 振荡器 耦合 力学 |
| 收稿时间： | 2007-2-23 |
| 修稿时间： | 2007-02-23 |
An Approach to Analyse Phase Synchronization in Oscillator Networks with Weak Coupling |
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| ZHANG Jian-Bao,LIU Zeng-Rong,LI Ying.An Approach to Analyse Phase Synchronization in Oscillator Networks with Weak Coupling[J].Chinese Physics Letters,2007,24(6):1494-1497. |
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| Authors: | ZHANG Jian-Bao LIU Zeng-Rong LI Ying |
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| Institution: | l Institute of Systems Biology, Shanghai University, Shanghai 200444 2 College of Sciences, Shanghai University, Shanghai 200444 |
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| Abstract: | We study phase synchronization in oscillator networks through phase reduced method. The dynamics of networks is reduced to phase equations by this method. Analysing the phase equations through the master stability function method, one obtains that the oscillators with identical frequency can be in-phase synchronized by weak balanced coupling. Similarly, the problem of frequency synchronization of oscillators with different frequencies is transformed to the existence of a locally asymptotically stable equilibrium of the phase error system. |
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| Keywords: | 05 45 Xt 03 65 Vf |
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