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On riddled sets and bifurcations of chaotic attractors
Riddling basins coupled maps blow out bifurcations
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2010/9/15
Coupled systems provide us examples of blowout bifurcations and these maps have parameter values at which there are attractors which are a filled-in quadrilateral and, simultaneously, the synchronized...
EXPONENTIAL ATTRACTORS OF THE GINZBURG-LANDAU-BBM EQUATIONS IN AN UNBOUNDED DOMAIN
Exponential attractor Ginzbur
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2007/12/11
In this paper, the existence of the exponential attractors for the Ginzburg-Landau-BBM equations in an unbounded domain is proved by using weighted function and squeezing property.
Attractors for a Nonclassical Diffusion Equation
Nonclassical diffusion equation Global attractor
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2007/12/11
For a nonclassical diffusion equation, the asymptotic behavior is investigated, and the existence of a global attractor is proved.
Attractors and Dimensions for Discretizations of a Dissipative Zakharov Equations
Attractor dissipative Zakharov equation
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2007/12/10
In this paper, a dissipative Zakharov equations are discretized by difference method. We make prior estimates for the algebric system of equations. It is proved that for each mesh size, there exist at...
ATTRACTORS FOR GENERALIZED GINZBURG-LANDAU-BBM EQUATIONS IN AN UNBOUNDED DOMAIN
unbounded domain weighted spa
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2007/12/10
By the interpolation inequality and a priori estimates in the weighted space, the existence of global solutions for generalized Ginzburg-Landau equation coupled with BBM equation in an unbounded domai...