The Existence of Exponential Attractor for Discrete Ginzburg-Landau Equation
نویسندگان
چکیده
منابع مشابه
The Complex Ginzburg-landau Equation∗
Essential to the derivation of the Ginzburg-Landau equation is assumption that the spatial variables of the vector field U(x, y, t) are defined on a cylindrical domain. This means that (x, y) ∈ R ×Ω, where Ω ⊂ R is a open and bounded domain (and m ≥ 1, n ≥ 0), so that U : R ×Ω×R+ → R . The N ×N constant coefficient matrix Sμ is assumed to be non-negative, in the sense that all its eigenvalues a...
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متن کاملPrimary 76e30; Secondary 58f12 Dynamics on the Attractor for the Complex Ginzburg-landau Equation 1
We present a numerical study of the large-time asymptotic behavior of solutions to the one-dimensional complex Ginzburg-Landau equation with periodic boundary conditions. Our parameters belong to the Benjamin-Feir unstable region. Our solutions start near a pure-mode rotating wave that is stable under sideband perturbations for the Reynolds number R ranging over an interval (R sub ; R sup). We ...
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Several systems discussed at this workshop on Spatio-Temporal Patterns in Nonequilibrium Complex Systems have been related to or analyzed in the context of the so-called Complex Ginzburg-Landau equation (CGL). What is the difference between the physics underlying the usual amplitude description for stationary patterns and the one underlying the CGL? Why are there many more stable coherent struc...
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ژورنال
عنوان ژورنال: Discrete Dynamics in Nature and Society
سال: 2015
ISSN: 1026-0226,1607-887X
DOI: 10.1155/2015/217608