Localized Structures In Pattern-Forming Systems

  • Hermann Riecke
Chapter
Part of the The IMA Volumes in Mathematics and its Applications book series (IMA, volume 115)

Abstract

A number of mechanisms that lead to the confinement of patterns to a small part of a translationally symmetric pattern-forming system are reviewed: nonadiabatic locking of fronts, global coupling and conservation laws, dispersion, and coupling to additional slow modes via gradients. Various connections with experimental results are made.

Keywords

Solitary Wave Hopf Bifurcation Nematic Liquid Crystal Homoclinic Orbit Nonlinear Schrodinger Equation 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
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Copyright information

© Springer Science+Business Media New York 1999

Authors and Affiliations

  • Hermann Riecke
    • 1
  1. 1.Department of Engineering Sciences and Applied MathematicsNorthwestern UniversityEvanstonUSA

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