Modulated amplitude waves and the transition from phase to defect chaos

Research output: Contribution to journalResearch articleContributedpeer-review

Contributors

  • Lutz Brusch - , Max-Planck-Institute for the Physics of Complex Systems (First author)
  • M.G. Zimmermann - (Author)
  • M van Hecke - (Author)
  • M Bar - (Author)
  • A Torcini - (Author)

Abstract

The mechanism for transitions from phase to defect chaos in the one-dimensional complex Ginzburg-Landau equation (CGLE) is presented. We describe periodic coherent structures of the CGLE, called modulated amplitude waves (MAWs). MAWs of various periods P occur in phase chaotic states. A bifurcation study of the MAWs reveals that for sufficiently large period, pairs of MAWs cease to exist via a saddle-node bifurcation. For periods beyond this bifurcation, incoherent near-MAW structures evolve towards defects. This leads to our main result: the transition from phase to defect chaos takes place when the periods of MAWs in phase chaos an driven beyond their saddle-node bifurcation.

Details

Original languageEnglish
Pages (from-to)86-89
Number of pages4
JournalPhysical review letters
Volume85
Issue number1
Publication statusPublished - 3 Jul 2000
Peer-reviewedYes
Externally publishedYes

External IDs

Scopus 16744367712
ORCID /0000-0003-0137-5106/work/142244223

Keywords

Keywords

  • GINZBURG-LANDAU-EQUATION, SPATIOTEMPORAL INTERMITTENCY, ECKHAUS INSTABILITY, TURBULENCE