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Spatially Extended Monotone Mappings

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Dynamics of Coupled Map Lattices and of Related Spatially Extended Systems

Part of the book series: Lecture Notes in Physics ((LNP,volume 671))

Abstract

This chapter deals with the study of travelling waves in discrete time spatially extended systems with monotone dynamics. Such systems appear for instance in alloy solidification, in population dynamics and in solid-state physics. Special emphasis is made on the existence of travelling waves, on the uniqueness of their velocity and on their relevance for the description of propagation phenomena in such systems.

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Author information

Authors and Affiliations

  1. Departamento de Matemática, Instituto Superior Técnico, Av. Rovisco Pais 1096, Lisboa Codex, Portugal

    R Coutinho

  2. Centre de Physique Théorique, CNRS & Universités de Marseille et de Toulon, Luminy Case 907, 13288 Marseille Cedex 09, France

    B Fernandez

Authors
  1. R Coutinho
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  2. B Fernandez
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Coutinho, R., Fernandez, B. Spatially Extended Monotone Mappings. In: Dynamics of Coupled Map Lattices and of Related Spatially Extended Systems. Lecture Notes in Physics, vol 671. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11360810_11

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  • DOI: https://doi.org/10.1007/11360810_11

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-24289-5

  • Online ISBN: 978-3-540-31520-9

  • eBook Packages: Physics and AstronomyPhysics and Astronomy (R0)

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