Partial Synchronization Between Different Systems
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摘要: 提出了一种处理不同系统之间的部分同步问题的方法.给出了此问题意义下的部分同步的定义,并以Liapunov函数方法分析了方法的稳定性,推导出了控制项的形式.通过实例对计算结果的分析与讨论说明了该方法的可行性,并考察了同步系统的动力学行为且发现对于响应系统各种动力学状态通过选取合适的控制项部分同步都能达到.Abstract: A new method for partial synchronization between different systems was obtained.The definition of partial synchronization under which the problem works is given.The stability of the method is analyzed by the Liapunov function method and the condition of choosing the control term is derived.The reliability of this method is proved by some numerical examples,in which the dynamical behaviors of the synchronized systems are observed and it is found that whatever state the response system is partial synchronization can be always achieved by adding some proper control term.
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Key words:
- chaos /
- chaos synchronization /
- partial synchronization
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[1] Pecora L A,Carroll T S.Synchronization in chaotic systems[J].Phys Rev Lett,1990,64(11):821—824. doi: 10.1103/PhysRevLett.64.821 [2] Pecora L A,Carroll T S.Synchronizing chaotic circuits[J].IEEE Trans Circuits Syst,1991,38(4):453—456. doi: 10.1109/31.75404 [3] Tang D Y,Dykston R,Hamilton M W,et al.Stages of chaotic synchronization[J].Chaos,1998,8(3):697—701. doi: 10.1063/1.166352 [4] Brown R,Kocarev L.A unifying definition of synchronization for dynamical systems[J].Chaos,2000,10(2):344—349. doi: 10.1063/1.166500 [5] Jensen R V,Jones L,Gartner D.Synchronization of randomly drive nonlinear oscillators and the reliable firing of cortical neurons[A].In:Bower J M Ed.Computational Neuroscience: Trends in Research[C].New York: Kluwer Academic Publishers, 1998,403—407. [6] Mainen Z F,Sejnowski T.Reliability of spike timing in neocortical neurons[J].Science,1995,268(5216):1503—1506. doi: 10.1126/science.7770778 [7] Bao S,Chan V T,Merzerich M M.Cortical remodeling induced by activity of ventral tegmental dopamine neurons[J].Nature,2001,412(6842):79—83. doi: 10.1038/35083586 [8] Bramo M C,Goebel R,Nenenschwander S,et al.Neural synchrony correlates with surface segregation rules[J].Nature,2000,405(6787):685—689. doi: 10.1038/35015079 [9] Steinmetz P N,Fitzgerald P J,Hsiao S S,et al.Attention modulates synchronized neuronal firing in prime somatosensory cortex[J].Nature,2000,404(6774):187—190.[JP2]. Glass L.Synchronization and rhythmic processes in physiology[J].Nature,2001,410(6825):277—284. doi: 10.1038/35065745
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