Modulated amplitude waves and the transition from phase to defect chaos

Publikation: Beitrag in FachzeitschriftForschungsartikelBeigetragenBegutachtung

Beitragende

  • Lutz Brusch - , Max-Planck-Institut für Physik komplexer Systeme (Erstautor:in)
  • M.G. Zimmermann - (Autor:in)
  • M van Hecke - (Autor:in)
  • M Bar - (Autor:in)
  • A Torcini - (Autor:in)

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

OriginalspracheEnglisch
Seiten (von - bis)86-89
Seitenumfang4
FachzeitschriftPhysical review letters
Jahrgang85
Ausgabenummer1
PublikationsstatusVeröffentlicht - 3 Juli 2000
Peer-Review-StatusJa
Extern publiziertJa

Externe IDs

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

Schlagworte

Schlagwörter

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