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DY: Dynamik und Statistische Physik

DY 46: Poster

DY 46.41: Poster

Donnerstag, 29. März 2001, 15:45–18:15, Foyer S\ 3

Modulated Amplitude Waves and the Transition from Phase to Defect Chaos — •Lutz Brusch¹, Martin G. Zimmermann², Martin van Hecke³, Alessandro Torcini⁴, and Markus Bär¹ — ¹Max-Planck-Institut für Physik komplexer Systeme, Nöthnitzer Straße 38, 01187 Dresden — ²Instituto Mediterraneo de Estudios Avanzados, IMEDEA (CSIC-UIB), E-07071 Palma de Mallorca, Spain and Physics Department, FCEN-University of Buenos Aires, Pab. I Ciudad Universitaria, (1428) Buenos Aires, Argentina — ³Instituut-Lorentz, LION, Universiteit Leiden, Postbus 9506, 2300 RA Leiden, The Netherlands and Center for Chaos and Turbulence Studies, The Niels Bohr Institute, Blegdamsvej 17, 2100 Copenhagen, Denmark — ⁴Dipartimento di Fisica, Universita’ “La Sapienza”,P.le A. Moro 2, I-00185 Roma, Italy and Istituto Nazionale di Fisica della Materia, Unità di Firenze, Largo Enrico Fermi 2, I-50125 Firenze, Italy

The mechanism for transitions from phase to defect chaos in the one-dimensional complex Ginzburg-Landau equation (CGLE) is presented. We introduce and describe periodic coherent structures of the CGLE, called modulated amplitude waves (MAWs). MAWs of various period P occur naturally 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 occur which evolve toward defects.