Modulated amplitude waves and the transition from phase to defect chaos
Publikation: Beitrag in Fachzeitschrift › Forschungsartikel › Beigetragen › Begutachtung
Beitragende
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
Originalsprache | Englisch |
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Seiten (von - bis) | 86-89 |
Seitenumfang | 4 |
Fachzeitschrift | Physical review letters |
Jahrgang | 85 |
Ausgabenummer | 1 |
Publikationsstatus | Veröffentlicht - 3 Juli 2000 |
Peer-Review-Status | Ja |
Extern publiziert | Ja |
Externe IDs
Scopus | 16744367712 |
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ORCID | /0000-0003-0137-5106/work/142244223 |
Schlagworte
Schlagwörter
- GINZBURG-LANDAU-EQUATION, SPATIOTEMPORAL INTERMITTENCY, ECKHAUS INSTABILITY, TURBULENCE