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We study a parametrically driven Ginzburg-Landau equation model with nonlinear management. The system is made of laterally coupled long active waveguides placed along a circumference. Stationary solutions of three kinds are found: periodic Ising states and two types of Bloch states, staggered and unstaggered. The stability of these states is investigated analytically and numerically. The nonlinear dynamics of the Bloch states are described by a complex Ginzburg-Landau equation with linear and nonlinear parametric driving. The switching between the staggered and unstaggered Bloch states under the action of direct ac forces is shown.
Original languageEnglish
JournalPhysical Review E
Volume78
Issue number2
Pages (from-to)026610
ISSN2470-0045
DOIs
StatePublished - 2008

Bibliographical note

Copyright 2008 American Physical Society

CitationsWeb of Science® Times Cited: 3

    Keywords

  • COMPLEX, CHIRALITY, KINKS, OSCILLATORS, PATTERN-FORMATION, DYNAMICS, SOLITONS, 2-COMPONENT ACTIVE SYSTEMS, TRANSMISSION, DISPERSION
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