​This collection covers a wide range of topics of infinite
dimensional dynamical systems generated by parabolic partial differential
equations, hyperbolic partial differential equations, solitary equations,
lattice differential equations, delay differential equations, and stochastic
differential equations.

Infinite dimensional dynamical systems are generated by
evolutionary equations describing the evolutions in time of systems whose
status must be depicted in infinite dimensional phase spaces. Studying the
long-term behaviors of such systems is important in our understanding of their
spatiotemporal pattern formation and global continuation, and has been among
major sources of motivation and applications of new developments of nonlinear
analysis and other mathematical theories. Theories of the infinite dimensional
dynamical systems have also found more and more important applications in
physical, chemical, and life sciences.

This book collects 19 papers from 48 invited lecturers to
the International Conference on Infinite Dimensional Dynamical Systems held at
York University, Toronto, in September of 2008. As the conference was dedicated
to Professor George Sell from University of Minnesota on the occasion of his
70th birthday, this collection reflects the pioneering work and influence of
Professor Sell in a few core areas of dynamical systems, including
non-autonomous dynamical systems, skew-product flows, invariant manifolds
theory,  infinite dimensional dynamical
systems, approximation dynamics, and fluid flows.​