Upper Semicontinuity of Attractors of Non-autonomous Dynamical Systems for Small Perturbations
Date
2002-05-17
Authors
Cheban, David N.
Journal Title
Journal ISSN
Volume Title
Publisher
Southwest Texas State University, Department of Mathematics
Abstract
We study the problem of upper semicontinuity of compact global attractors of non-autonomous dynamical systems for small perturbations. For the general nonautonomous dynamical systems, we give the conditions of upper semicontinuity of attractors for small parameter. Several applications of these results are given (quasihomogeneous systems, monotone systems, nonautonomously perturbed systems, nonautonomous 2D Navier-Stokes equations and quasilinear functional-differential equations).
Description
Keywords
Monotone system, Nonautonomous dynamical system, Skew-product flow, Global attractor, Almost periodic motions
Citation
Cheban, D. N. (2002). Upper semicontinuity of attractors of non-autonomous dynamical systems for small perturbations. <I>Electronic Journal of Differential Equations, 2002</i>(42), pp. 1-21.
Rights
Attribution 4.0 International