Instabilities and spatio-temporal chaos in hexagon patterns with rotation

Filip Sain*, Hermann E Riecke

*Corresponding author for this work

Research output: Contribution to journalArticle

14 Scopus citations

Abstract

The dynamics of hexagon patterns in rotating systems are investigated within the framework of modified Swift-Hohenberg equations that can be considered as simple models for rotating convection with broken up-down symmetry, e.g. non-Boussinesq Rayleigh-Bénard or Marangoni convection. In the weakly nonlinear regime a linear stability analysis of the hexagons reveals long- and short-wave instabilities, which can be steady or oscillatory. The oscillatory short-wave instabilities can lead to stable hexagon patterns that are periodically modulated in space and time, or to a state of spatio-temporal chaos with a Fourier spectrum that precesses on average in time. The chaotic state can exhibit bistability with the steady hexagon pattern. There exist regimes in which the steady hexagon patterns are unstable at all wave numbers.

Original languageEnglish (US)
Pages (from-to)124-141
Number of pages18
JournalPhysica D: Nonlinear Phenomena
Volume144
Issue number1-2
DOIs
StatePublished - Sep 15 2000

Keywords

  • 47.20.Dr
  • 47.20.Ky
  • 47.27.Te
  • 47.54.+r
  • Hexagon patterns
  • Rotating convection
  • Sideband instabilities
  • Spatio-temporal chaos
  • Swift-Hohenberg equation

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Condensed Matter Physics

Fingerprint Dive into the research topics of 'Instabilities and spatio-temporal chaos in hexagon patterns with rotation'. Together they form a unique fingerprint.

  • Cite this