The inflation of attractors and their discretization: the autonomous case∗
نویسنده
چکیده
The effects of perturbation or discretization on a maximal attractor of autonomous dynamical systems is now well understood, with the perturbed or discretized system having a nearby maximal attractor [5, 7, 10]. In contrast, for nonautonomous systems the very concept of a nonautonomous attractor itself is still undergoing intensive development and perturbation or discretization results have been obtained ∗This work was supported by the DFG Forschungschwerpunkt “Ergodentheorie, Analysis und effiziente Simulation dynamischer Systeme”. †The author was partially supported by the Russian Foundation for Basic Researches Grant 97–01–00692.
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