Resonant triad interactions in symmetric systems

John Guckenheimer, Alex Mahalov

Research output: Contribution to journalArticle

18 Citations (Scopus)

Abstract

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
Volume54
Issue number4
DOIs
StatePublished - Jan 2 1992
Externally publishedYes

Fingerprint

Heteroclinic Cycle
Rotating Flow
Amplitude Equations
Poiseuille Flow
Spatial Pattern
laminar flow
planetary waves
Interaction
traveling waves
Traveling Wave
interactions
cycles

ASJC Scopus subject areas

  • Applied Mathematics
  • Statistical and Nonlinear Physics

Cite this

Resonant triad interactions in symmetric systems. / Guckenheimer, John; Mahalov, Alex.

In: Physica D: Nonlinear Phenomena, Vol. 54, No. 4, 02.01.1992, p. 267-310.

Research output: Contribution to journalArticle

Guckenheimer, John ; Mahalov, Alex. / Resonant triad interactions in symmetric systems. In: Physica D: Nonlinear Phenomena. 1992 ; Vol. 54, No. 4. pp. 267-310.
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