Spatial dynamics

Christian Kuehn

Research output: Chapter in Book/Report/Conference proceedingChapterpeer-review

Abstract

In this chapter, the main topic is traveling waves for time-dependent spatially extended systems in one space dimension. Note that we have already extensively discussed various techniques to prove the existence of waves for partial differential equations (PDEs); see, e.g., Chapter 6 Hence, we focus here on further topics beyond the existence of waves in PDEs.

Original languageEnglish
Title of host publicationApplied Mathematical Sciences (Switzerland)
PublisherSpringer
Pages553-582
Number of pages30
DOIs
StatePublished - 2015
Externally publishedYes

Publication series

NameApplied Mathematical Sciences (Switzerland)
Volume191
ISSN (Print)0066-5452
ISSN (Electronic)2196-968X

Keywords

  • Evans function
  • Exponential dichotomy
  • Fast subsystem
  • Homoclinic orbit
  • Integrodifferential equation

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