The effect of spatial modulations on codimension-2 bifurcations

W. Zimmermann, Hans Armbruster, L. Kramer, W. Kuang

Research output: Contribution to journalArticle

17 Citations (Scopus)

Abstract

The stability of stationary patterns and travelling waves against arbitrary fluctuations in spatially extended systems are investigated for the first time near the codimension-2 point. An important result is that travelling waves (and also standing waves) lose stability in some range via Benjamin-Feir resonance if the stationary pattern bifurcates inversely, in qualitative agreement with measurements on binary fluid mixtures. The results presented could stimulate further investigations.

Original languageEnglish (US)
Pages (from-to)505-510
Number of pages6
JournalEPL
Volume6
Issue number6
DOIs
StatePublished - Jul 15 1988
Externally publishedYes

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traveling waves
modulation
binary fluids
standing waves

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

The effect of spatial modulations on codimension-2 bifurcations. / Zimmermann, W.; Armbruster, Hans; Kramer, L.; Kuang, W.

In: EPL, Vol. 6, No. 6, 15.07.1988, p. 505-510.

Research output: Contribution to journalArticle

Zimmermann, W. ; Armbruster, Hans ; Kramer, L. ; Kuang, W. / The effect of spatial modulations on codimension-2 bifurcations. In: EPL. 1988 ; Vol. 6, No. 6. pp. 505-510.
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