Resonant triad interactions in symmetric systems

John Guckenheimer, Alex Mahalov

Research output: Contribution to journalArticlepeer-review

19 Scopus citations


We analyse resonant triad interactions in symmetric systems. The case of coupling at quadratic order in amplitudes and the case of coupling at cubic order are considered. We study modulated travelling waves and heteroclinic cycles in amplitude equations and we discuss their stability types. We describe possible dynamical regimes and spatial patterns arising from triad interactions of long waves in rapidly rotating Hagen-Poiseuille flow.

Original languageEnglish (US)
Pages (from-to)267-310
Number of pages44
JournalPhysica D: Nonlinear Phenomena
Issue number4
StatePublished - Jan 2 1992
Externally publishedYes

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics
  • Condensed Matter Physics
  • Applied Mathematics


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