Stability of oscillating hexagons in rotating convection

Blas Echebarria, Hermann Riecke

Research output: Contribution to journalArticlepeer-review

7 Scopus citations

Abstract

Breaking the chiral symmetry, rotation induces a secondary Hopf bifurcation in weakly nonlinear hexagon patterns which gives rise to oscillating hexagons. We study the stability of the oscillating hexagons using three coupled Ginzburg-Landau equations. Close to the bifurcation point, we derive reduced equations for the amplitude of the oscillation, coupled to the phase of the underlying hexagons. Within these equations, we identify two types of long-wave instabilities and study the ensuing dynamics using numerical simulations of the three coupled Ginzburg-Landau equations.

Original languageEnglish (US)
Pages (from-to)187-204
Number of pages18
JournalPhysica D: Nonlinear Phenomena
Volume143
Issue number1-4
DOIs
StatePublished - Sep 1 2000

Keywords

  • Ginzburg-Landau equation
  • Hexagon patterns
  • Phase equation
  • Rotating convection
  • Side-band instabilities
  • Spatio-temporal chaos
  • Traveling waves

ASJC Scopus subject areas

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

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