The main goal of this book is to systematically address the mathematical methods that are applied in the study of synchronization
of infinite-dimensional evolutionary dissipative or partially dissipative systems. It bases its unique monograph presentation
on both general and abstract models and covers several important classes of coupled nonlinear deterministic and stochastic
PDEs which generate infinite-dimensional dissipative systems. This text, which adapts readily to advanced graduate coursework
in dissipative dynamics, requires some background knowledge in evolutionary equations and introductory functional analysis
as well as a basic understanding of PDEs and the theory of random processes. Suitable for researchers in synchronization theory,
the book is also relevant to physicists and engineers interested in both the mathematical background and the methods for the
asymptotic analysis of coupled infinite-dimensional dissipative systems that arise in continuum mechanics.