Spatial dynamics

Christian Kuehn

doi:10.1007/978-3-319-12316-5_17

Spatial dynamics

Christian Kuehn

Technical University of Vienna

Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-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 language	English
Title of host publication	Applied Mathematical Sciences (Switzerland)
Publisher	Springer
Pages	553-582
Number of pages	30
DOIs	https://doi.org/10.1007/978-3-319-12316-5_17
State	Published - 2015
Externally published	Yes

Publication series

Name	Applied Mathematical Sciences (Switzerland)
Volume	191
ISSN (Print)	0066-5452
ISSN (Electronic)	2196-968X

Keywords

Evans function
Exponential dichotomy
Fast subsystem
Homoclinic orbit
Integrodifferential equation

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10.1007/978-3-319-12316-5_17

Cite this

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title = "Spatial dynamics",

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.",

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KW - Evans function

KW - Exponential dichotomy

KW - Fast subsystem

KW - Homoclinic orbit

KW - Integrodifferential equation

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Spatial dynamics

Abstract

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Keywords

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