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An Approach to Analyse Phase Synchronization in Oscillator Networks with Weak Coupling |
| ZHANG Jian-Bao2;LIU Zeng-Rong1;LI Ying2 |
| 1Institute of Systems Biology, Shanghai University, Shanghai 2004442College of Sciences, Shanghai University, Shanghai 200444 |
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| Cite this article: |
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ZHANG Jian-Bao, LIU Zeng-Rong, LI Ying 2007 Chin. Phys. Lett. 24 1494-1497 |
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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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Received: 23 February 2007
Published: 17 May 2007
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| PACS: |
05.45.Xt
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(Synchronization; coupled oscillators)
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03.65.Vf
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(Phases: geometric; dynamic or topological)
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