title: Modulated amplitude waves and the transition from phase to defect chaos
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 are driven beyond their saddle-node bifurcation.
authors.affiliation: Max-Planck-Institut fur Physik komplexer Systeme, Nothnitzer Strasse 38, D-01187 Dresden, Germany.
authors.initials: L
authors.lastname: Brusch
authors.initials: MG
authors.lastname: Zimmermann
authors.lastname: van Hecke M
authors.initials: M
authors.lastname: Bar
authors.initials: A
authors.lastname: Torcini