Finite dimensional global and exponential attractors for a class of coupled time-dependent Ginzburg-Landau equations
نویسندگان
چکیده
منابع مشابه
Localized structures in coupled Ginzburg–Landau equations
Coupled Complex Ginzburg-Landau equations describe generic features of the dynamics of coupled fields when they are close to a Hopf bifurcation leading to nonlinear oscillations. We study numerically this set of equations and find, within a particular range of parameters, the presence of uniformly propagating localized objects behaving as coherent structures. Some of these localized objects are...
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We study the effect of spatial frequency forcing on standing-wave solutions of coupled complex Ginzburg-Landau equations. The model considered describes several situations of nonlinear counterpropagating waves and also of the dynamics of polarized light waves. We show that forcing introduces spatial modulations on standing waves which remain frequency locked with a forcing-independent frequency...
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ژورنال
عنوان ژورنال: Science China Mathematics
سال: 2011
ISSN: 1674-7283,1869-1862
DOI: 10.1007/s11425-011-4229-2