CHEN Jun, LIU Zeng-rong. Partial Synchronization Between Different Systems[J]. Applied Mathematics and Mechanics, 2005, 26(9): 1033-1037.
Citation: CHEN Jun, LIU Zeng-rong. Partial Synchronization Between Different Systems[J]. Applied Mathematics and Mechanics, 2005, 26(9): 1033-1037.

Partial Synchronization Between Different Systems

  • Received Date: 2003-03-27
  • Rev Recd Date: 2005-06-06
  • Publish Date: 2005-09-15
  • 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.
  • loading
  • [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
  • 加载中

Catalog

    通讯作者: 陈斌, bchen63@163.com
    • 1. 

      沈阳化工大学材料科学与工程学院 沈阳 110142

    1. 本站搜索
    2. 百度学术搜索
    3. 万方数据库搜索
    4. CNKI搜索

    Article Metrics

    Article views (2046) PDF downloads(605) Cited by()
    Proportional views
    Related

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return