Spatially Extended Monotone Mappings

  • R Coutinho
  • B Fernandez
Part of the Lecture Notes in Physics book series (LNP, volume 671)


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.


Travel Wave Solution Rotation Number Front Velocity Continuous Distribution Function Coupling Operator 
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Authors and Affiliations

  • R Coutinho
    • 1
  • B Fernandez
    • 2
  1. 1.Departamento de MatemáticaInstituto Superior TécnicoPortugal
  2. 2.Centre de Physique ThéoriqueCNRS & Universités de Marseille et de Toulon13288 Marseille Cedex 09France

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