A Soliton as an Attractor of a Driven Damped Nonlinear Schrödinger Equation

  • N. Bekki
  • K. Nozaki
Part of the Springer Series in Synergetics book series (SSSYN, volume 30)


Recent studies have shown that some driven damped soliton systems have a chaotic soliton exhibiting coherent spatial structure and temporal chaos [1]. These studies indicate that a low dimensional chaotic attractor corresponding to a chaotic soliton is embedded in such driven damped soliton systems. When forcing and damping effects are small enough and a forcing field consists of two oscillating components, a soliton of the nonlinear Schrödinger equation has been shown to become a chaotic attractor described by a couple of ordinary differential equations (obtained by means of the first order perturbation theory) [2].


Chaotic Attractor Periodic Cycle Chaotic Region Point Attractor Order Perturbation Theory 
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Copyright information

© Springer-Verlag Berlin Heidelberg 1985

Authors and Affiliations

  • N. Bekki
    • 1
  • K. Nozaki
    • 1
  1. 1.Department of PhysicsNagoya UniversityNagoya 464Japan

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