Kinks and Spatially Complex Behavior in One-Dimensional Coupled Map Lattices

  • Kunihiko Kaneko
Conference paper
Part of the Springer Series in Synergetics book series (SSSYN, volume 30)


Recent studies on low-dimensional dynamical systems have had great success in elucidating the onset of turbulence and various aspects of chaos [1]. The success, however, is limited to systems with a few number of excited modes. Then, what happens in a system with a large number of excited modes and with a spatial complexity? Can the low-dimensional chaos be an elementary process for the turbulence? Furthermore, spatial patterns are important for the understanding of turbulence. How are the patterns in nonlinear systems characterized? What is the effect of spatial patterns on the onset of chaos?


Flat Region Excited Mode Laminar Region Probabilistic Cellular Automaton Kink Position 
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Copyright information

© Springer-Verlag Berlin Heidelberg 1985

Authors and Affiliations

  • Kunihiko Kaneko
    • 1
  1. 1.Department of Physics, Faculty of ScienceUniversity of TokyoHongo, Bunkyo-ku, Tokyo 113Japan

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