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

Journal Article · Sun Jan 23 23:00:00 EST 1994 · Physical Review Letters; (United States)

DOI:https://doi.org/10.1103/PhysRevLett.72.478· OSTI ID:5314852

Deissler, R J; Brand, H R ^[1]

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

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.

• OSTI ID: 5314852
• Journal Information: Physical Review Letters; (United States), Journal Name: Physical Review Letters; (United States) Vol. 72:4; ISSN 0031-9007; ISSN PRLTAO
• Country of Publication: United States
• Language: English

Related Subjects

665000* -- Physics of Condensed Matter-- (1992-)
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
ASYMPTOTIC SOLUTIONS
DISPERSION RELATIONS
ENERGY LOSSES
FLUIDS
GINZBURG-LANDAU THEORY
LOSSES
STOCHASTIC PROCESSES
THREE-DIMENSIONAL CALCULATIONS
TIME DEPENDENCE
TRAVELLING WAVES