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Dynamical Problems in Soliton Systems pp 272–277Cite as

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

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Part of the book series: Springer Series in Synergetics ((SSSYN,volume 30))

Abstract

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?

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Author information

Authors and Affiliations

  1. Department of Physics, Faculty of Science, University of Tokyo, Hongo, Bunkyo-ku, Tokyo 113, Japan

    Kunihiko Kaneko

Authors
  1. Kunihiko Kaneko
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Editor information

Editors and Affiliations

  1. Department of Physics, Faculty of Engineering and Design, Kyoto Institute of Technology, Matsugasaki, Kyoto 606, Japan

    Shozo Takeno

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© 1985 Springer-Verlag Berlin Heidelberg

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Kaneko, K. (1985). Kinks and Spatially Complex Behavior in One-Dimensional Coupled Map Lattices. In: Takeno, S. (eds) Dynamical Problems in Soliton Systems. Springer Series in Synergetics, vol 30. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-02449-2_40

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  • DOI: https://doi.org/10.1007/978-3-662-02449-2_40

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-662-02451-5

  • Online ISBN: 978-3-662-02449-2

  • eBook Packages: Springer Book Archive

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