Published January 24, 1994 | Version v1
Journal article Metadata-only

Periodic, quasiperiodic, and chaotic localized solutions of the quintic complex Ginzburg-Landau equation

Creators

  • 1. Theoretische Physik III, Universitaet Bayreuth, Postfach 101251, D-95440 Bayreuth (Germany)
  • 2. Institute for Computational Mechanics in Propulsion (ICOMP), Ohio Aerospace Institute, NASA Lewis Research Center, 21000 Brookpark Road, Cleveland, Ohio 44135 (United States)
  • 3. Center for Nonlinear Studies, MS-B 258, Los Alamos National Laboratory, University of California, Los Alamos, New Mexico 87545 (United States)

Description

We discuss time-dependent spatially localized solutions of the quintic complex Ginzburg-Landau equation applicable near a weakly inverted bifurcation to traveling waves. We find that there are---in addition to the stationary pulses reported previously---stable localized solutions that are periodic, quasiperiodic, or even chaotic in time. An intuitive picture for the stability of these time-dependent localized solutions is presented and the novelty of these phenomena in comparison to localized solutions arising for exactly integrable systems is emphasized

Additional details

Publishing Information

Journal Title
Physical Review Letters
Journal Volume
72
Journal Issue
4
Journal Page Range
p. 478-481.
ISSN
0031-9007
CODEN
PRLTAO

INIS

Country of Publication
United States
Country of Input or Organization
United States
INIS RN
25042615
Subject category
S75: CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY;
Descriptors DEI
ASYMPTOTIC SOLUTIONS; DISPERSION RELATIONS; ENERGY LOSSES; FLUIDS; GINZBURG-LANDAU THEORY; STOCHASTIC PROCESSES; THREE-DIMENSIONAL CALCULATIONS; TIME DEPENDENCE; TRAVELLING WAVES