Modulated amplitude waves and the transition from phase to defect chaos
Research output: Contribution to journal › Research article › Contributed › peer-review
Contributors
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 language | English |
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Pages (from-to) | 86-89 |
Number of pages | 4 |
Journal | Physical review letters |
Volume | 85 |
Issue number | 1 |
Publication status | Published - 3 Jul 2000 |
Peer-reviewed | Yes |
Externally published | Yes |
External IDs
Scopus | 16744367712 |
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ORCID | /0000-0003-0137-5106/work/142244223 |
Keywords
Keywords
- GINZBURG-LANDAU-EQUATION, SPATIOTEMPORAL INTERMITTENCY, ECKHAUS INSTABILITY, TURBULENCE