Ramm, Alexander G.2011-05-202011-05-202010-03-15http://hdl.handle.net/2097/9168A class of infinite-dimensional dissipative dynamical systems is defined for which the slow invariant manifolds can be calculated. Large-time behavior of the evolution of such systems is studied.This Item is protected by copyright and/or related rights. You are free to use this Item in any way that is permitted by the copyright and related rights legislation that applies to your use. For other uses you need to obtain permission from the rights-holder(s).http://rightsstatements.org/vocab/InC/1.0/Dissipative systemsDynamical systemsAttractorsInvariant manifoldsNonlinear evolutionSlow manifolds for dissipative dynamical systemsArticle (author version)