EAN: 9781461445227

INFINITE DIMENSIONAL DYNAMICAL SYSTEMS GEBUNDEN

This collection covers a wide range of topics of infinitedimensional dynamical systems
generated by parabolic partial differentialequations  hyperbolic partial differential equations
solitary equations lattice differential equations  delay differential equations  and
stochasticdifferential equations.Infinite dimensional dynamical systems are generated
byevolutionary equations describing the evolutions in time of systems whosestatus must be
depicted in infinite dimensional phase spaces. Studying thelong-term behaviors of such systems
is important in our understanding of theirspatiotemporal pattern formation and global
continuation  and has been amongmajor sources of motivation and applications of new
developments of nonlinearanalysis and other mathematical theories. Theories of the infinite
dimensionaldynamical systems have also found more and more important applications inphysical 
chemical  and life sciences.This book collects 19 papers from 48 invited lecturers tothe
International Conference on Infinite Dimensional Dynamical Systems held atYork University 
Toronto  in September of 2008. As the conference was dedicatedto Professor George Sell from
University of Minnesota on the occasion of his70th birthday  this collection reflects the
pioneering work and influence ofProfessor Sell in a few core areas of dynamical systems 
includingnon-autonomous dynamical systems  skew-product flows  invariant manifoldstheory 
infinite dimensional dynamicalsystems  approximation dynamics  and fluid flows.

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