Synchronization in Infinite-Dimensional Deterministic and Stochastic Systems

The book "Synchronization in Infinite-Dimensional Deterministic and Stochastic Systems" offers a comprehensive analysis of the mathematical methods used to study synchronization in infinite-dimensional evolutionary dissipative or partially dissipative systems. It presents a unique monographic representation that encompasses both general and abstract models and addresses significant classes of coupled nonlinear deterministic and stochastic partial differential equations (PDEs) that generate infinite-dimensional dissipative systems. This work is particularly suitable for advanced students and researchers engaged in dissipative dynamics and requires a fundamental understanding of evolutionary equations, functional analysis, as well as a basic knowledge of PDEs and the theory of stochastic processes. It is also aimed at physicists and engineers interested in the mathematical foundations and methods for the asymptotic analysis of coupled infinite-dimensional dissipative systems that arise in continuum mechanics.