This book offers an introduction to the theory of non-autonomous and
stochastic dynamical systems, with a focus on the importance of the
theory in the Applied Sciences. It starts by discussing the basic
concepts from the theory of autonomous dynamical systems, which are
easier to understand and can be used as the motivation for the
non-autonomous and stochastic situations. The book subsequently
establishes a framework for non-autonomous dynamical systems, and in
particular describes the various approaches currently available for
analysing the long-term behaviour of non-autonomous problems. Here, the
major focus is on the novel theory of pullback attractors, which is
still under development. In turn, the third part represents the main
body of the book, introducing the theory of random dynamical systems and
random attractors and revealing how it may be a suitable candidate for
handling realistic models with stochasticity. A discussion of future
research directions serves to round out the coverage.