Inferring the time-dependent complex Ginzburg-Landau equation from modulus data
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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The phenomenon of time-periodic evolution of spatial chaos is investigated in the frames of oneand two-dimensional complex Ginzburg-Landau equations. It is found that there exists a region of the parameters in which disordered spatial distribution of the field behaves periodically in time; the boundaries of this region are determined. The transition to the regime of spatiotemporal chaos is inve...
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In this paper we investigate the existence and regularity of the solutions to the complex Ginzburg-Landau equation, @ t u = Au + (a + ii))u ? (b + ii)juj 2 u, on the phase space L r;p (R n) of weighted L p functions in innnite domain R n of arbitrary spatial dimensions. The unique local strong solutions are established for subcritical , i.e., r > n p ? 1. Especially, the classical Lebesgue phas...
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ژورنال
عنوان ژورنال: Physical Review E
سال: 2005
ISSN: 1539-3755,1550-2376
DOI: 10.1103/physreve.72.056711