Modulated amplitude waves and the transition from phase to defect chaos

Citation
L. Brusch et al., Modulated amplitude waves and the transition from phase to defect chaos, PHYS REV L, 85(1), 2000, pp. 86-89
Citations number
20
Categorie Soggetti
Physics
Journal title
PHYSICAL REVIEW LETTERS
ISSN journal
00319007 → ACNP
Volume
85
Issue
1
Year of publication
2000
Pages
86 - 89
Database
ISI
SICI code
0031-9007(20000703)85:1<86:MAWATT>2.0.ZU;2-H
Abstract
The mechanism for transitions from phase to defect chaos in the one-dimensi onal complex Ginzburg-Landau equation (CGLE) is presented. We describe peri odic coherent structures of the CGLE, called modulated amplitude waves (MAW s). 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 bifu rcation, incoherent near-MAW structures evolve towards defects. This leads to our main result: the transition from phase to defect chaos takes place w hen the periods of MAWs in phase chaos an driven beyond their saddle-node b ifurcation.