The effect of spatial modulations on codimension-2 bifurcations

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

Research output: Contribution to journalArticlepeer-review

19 Scopus citations


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
Issue number6
StatePublished - Jul 15 1988
Externally publishedYes

ASJC Scopus subject areas

  • Physics and Astronomy(all)


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