GAO Ping, GUO Bo-ling. Smale Horseshoes and Chaos in Discretized Perturbed NLS Systems(Ⅰ)——Poincaré Map[J]. Applied Mathematics and Mechanics, 2005, 26(11): 1261-1270.
Citation: GAO Ping, GUO Bo-ling. Smale Horseshoes and Chaos in Discretized Perturbed NLS Systems(Ⅰ)——Poincaré Map[J]. Applied Mathematics and Mechanics, 2005, 26(11): 1261-1270.

Smale Horseshoes and Chaos in Discretized Perturbed NLS Systems(Ⅰ)——Poincaré Map

  • Received Date: 2004-08-08
  • Rev Recd Date: 2005-08-23
  • Publish Date: 2005-11-15
  • The existence of Smale horseshoes for a certain discretized perturbed nonlinear Schroedinger (NLS) equations was established by using n-dimensional versions of the Conley-Moser conditions.As a result,the discretized perturbed NLS system is shown to possess an invariant set Lambda on which the dynamics is topologically conjugate to a shift on four symbols.
  • loading
  • [1]
    Moser J.Stable and random motions in dynamical systems[A]In:Annals of Mathematics Studies[C].Princeton:77 Princeton University Press,NJ,1973.
    [2]
    Wiggins S.Global Bifurcations and Chaos, Analytic Methods[M].New York:Springer-Verlag,1988.
    [3]
    Li Y,Wiggins S.Homoclinic orbits and chaos in discretized perturbed NLS systems: Part II, Symbolic dynamics[J].J Nonlinear Sci,1997,7(4):315—370. doi: 10.1007/BF02678141
    [4]
    GUO Bo-ling,CHEN Han-lin.Persistent homodinic orbits for a perturbed cubic-quintic nonlinear Schrodinger equation[J].J Partial Diff Eqs,2002,15(2):6—36.
    [5]
    Li Y,Wiggins S.Homoclinic orbits and chaos in discretized perturbed NLS systems: Part I,Homoclinic orbits[J].J Nonlinear Sci,1997,7(3):211—269.
  • 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 (2152) PDF downloads(766) Cited by()
    Proportional views
    Related

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return