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Localized turbulence and cellular structures in systems with global coupling

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Nonlinear Physics of Complex Systems

Part of the book series: Lecture Notes in Physics ((LNP,volume 476))

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Abstract

The effects of global coupling in oscillatory reaction-diffusion systems near the Hopf bifurcation are investigated. Global coupling, typical for the catalytic surface chemical reactions, significantly influences the properties of pattern formation. New kinds of patterns, such as cellular structures formed by standing waves and self-confined local turbulence, are found.

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Author information

Author notes

  1. D. Battogtokh

    Present address: the Institute for Mathematics, Mongolian Academy of Sciences, Zhukov av. 51, Ulan Bator, Mongolia

Authors and Affiliations

  1. Fritz-Haber-Institut der Max-Planck-Gesellschaft, Faradayweg 4-6, 14195, Berlin (Dahlem)

    D. Battogtokh & A. Mikhailov

  2. Gemeinsames Rechenzentrum der Berliner Max-Planck-Institute, Faradayweg 4-6, 14195, Berlin (Dahlem)

    A. Preusser

Authors
  1. D. Battogtokh
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  2. A. Preusser
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  3. A. Mikhailov
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Editor information

Jürgen Parisi Stefan C. Müller Walter Zimmermann

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© 1996 Springer-Verlag

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Battogtokh, D., Preusser, A., Mikhailov, A. (1996). Localized turbulence and cellular structures in systems with global coupling. In: Parisi, J., Müller, S.C., Zimmermann, W. (eds) Nonlinear Physics of Complex Systems. Lecture Notes in Physics, vol 476. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0105436

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  • DOI: https://doi.org/10.1007/BFb0105436

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-61734-1

  • Online ISBN: 978-3-540-70699-1

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