Interaction of breathing localized solutions for subcritical bifurcations

Journal Article · Mon Jun 12 00:00:00 EDT 1995 · Physical Review Letters

DOI:https://doi.org/10.1103/PhysRevLett.74.4847· OSTI ID:69302

Deissler, R J ^[1]; Brand, H R ^[2]

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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, D 95440 Bayreuth (Germany)

We discuss interactions of spatially localized solutions, which breathe in the modulus, for coupled quintic complex Ginzburg-Landau equations. The interaction behavior is much richer than and qualitatively different from that of the fixed-shape solutions reported previously. The outcome of a collision can depend on the initial conditions, and, in particular, {ital sensitively} on the initial conditions for {ital chaotic} solutions, even though parameter values are unchanged. The novelty of these interactions, as compared to those of the fixed-shape solutions and to those of solitons is emphasized.

• OSTI ID: 69302
• Journal Information: Physical Review Letters, Vol. 74, Issue 24; Other Information: PBD: 12 Jun 1995
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
SOLUTIONS
INTERACTIONS
BIFURCATION
SOLITONS
SENSITIVITY
GINZBURG-LANDAU THEORY