Transition from propagating localized states to spatiotemporal chaos in phase dynamics

Journal Article · Thu Oct 01 00:00:00 EDT 1998 · Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

DOI:https://doi.org/10.1103/PhysRevE.58.R4064· OSTI ID:662234

Brand, H R; Deissler, R J ^[1]; Brand, H R ^[2]; Deissler, R J ^[3]

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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)
2. Theoretische Physik III, Universitaet Bayreuth, D95440 Bayreuth (Federal Republic of Germany)
3. Innovative Technologies, 4540 West 213 St., Fairview Park, Ohio 44126 (United States)

We study the nonlinear phase equation for propagating patterns. We investigate the transition from a propagating localized pattern to a space-filling spatiotemporally disordered pattern and discuss in detail to what extent there are propagating localized states that breathe in time periodically, quasiperiodically, and chaotically. Differences and similarities to the phenomena occurring for the quintic complex Ginzburg-Landau equation are elucidated. We also discuss for which experimentally accessible systems one could observe the phenomena described. {copyright} {ital 1998} {ital The American Physical Society}

• OSTI ID: 662234
• Journal Information: Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, Vol. 58, Issue 4; Other Information: PBD: Oct 1998
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
STATISTICAL MECHANICS
FLUID FLOW
GINZBURG-LANDAU THEORY
NONLINEAR PROBLEMS