不同系统之间的部分同步

陈骏; 刘曾荣

不同系统之间的部分同步

陈骏¹,
刘曾荣²

1.
上海交通大学安泰管理学院,上海 200052;2.上海大学数学系,上海 200444

基金项目: 国家自然科学基金资助项目(10171061)

详细信息

作者简介:
陈骏(1976- ),男,江苏无锡人,博士(联系人.Tel:+86-21-62933255;E-mail:Chenjunshu@163.com).

中图分类号: O19
计量
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- 被引次数: 0
出版历程
- 收稿日期: 2003-03-27
- 修回日期: 2005-06-06
- 刊出日期: 2005-09-15

Partial Synchronization Between Different Systems

CHEN Jun¹,
LIU Zeng-rong²

1.
Aetna School of Management, Shanghai Jiaotong University, Shanghai 200052, P. R. China;

摘要

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．
- 混沌 /
- 混沌同步 /
- 部分同步
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.
- chaos /
- chaos synchronization /
- partial synchronization

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参考文献(9)

[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