Supertransient chaos in the two-dimensional complex Ginzburg-Landau equation

We have shown that the two-dimensional complex Ginzburg-Landau equation exhibits supertransient chaos in a certain parameter range. Using numerical methods this behavior is found near the transition line separating frozen spiral solutions from turbulence. Supertransient chaos seems to be a common phenomenon in extended spatiotemporal systems. These supertransients are characterized by an average transient lifetime which depends exponentially on the size of the system and are due to an underlying nonattracting chaotic set.

Metadaten
Verfasserangaben:	Robert Braun GND, Fred Feudel
URN:	urn:nbn:de:kobv:517-opus-14099
Schriftenreihe (Bandnummer):	NLD Preprints (29)
Publikationstyp:	Preprint
Sprache:	Englisch
Erscheinungsjahr:	1996
Veröffentlichende Institution:	Universität Potsdam
Datum der Freischaltung:	13.06.2007
Organisationseinheiten:	Mathematisch-Naturwissenschaftliche Fakultät / Institut für Physik und Astronomie
	Zentrale und wissenschaftliche Einrichtungen / Interdisziplinäres Zentrum für Dynamik komplexer Systeme
DDC-Klassifikation:	5 Naturwissenschaften und Mathematik / 53 Physik / 530 Physik
PACS-Klassifikation:	40.00.00 ELECTROMAGNETISM, OPTICS, ACOUSTICS, HEAT TRANSFER, CLASSICAL MECHANICS, AND FLUID DYNAMICS / 47.00.00 Fluid dynamics (for fluid dynamics of quantum fluids, see section 67; see also section 83 Rheology; for sound generation by fluid flow, see 43.28.Ra-in Acoustics Appendix) / 47.52.+j Chaos in fluid dynamics (see also 05.45.-a Nonlinear dynamics and chaos in Statistical physics, thermodynamics, and nonlinear dynamical systems)