Synchronization in Infinite-Dimensional Deterministic and Stochastic Systems
Buch in deiner Nähe kaufen
Beschreibung
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.
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.
Addresses several important classes of nonlinear PDEs Adapts as a textbook for advanced graduate courses in dissipative dynamics Appeals to both mathematicians interested in synchronization theory as well as physicists and engineers interested in mathematical background and methods for the asymptotic analysis of infinite-dimensional dissipative systems Uniquely presents synchronization theory in the infinite-dimensional case at the monograph level Remains accessible to advanced students and scientific professionals without deep knowledge of Sobolev theory and functional spaces
Autor*in
Igor Chueshov
Themen in »Synchronization in Infinite-Dimensional Deterministic and Stochastic Systems«
Qualitative Analysis Long-time Behavior Global Attractors Invariant and Inertial Manifolds Deterministic and Stochastic Systems Synchronization Random dynamical systems Random pullback attractor
Stimmen zu »Synchronization in Infinite-Dimensional Deterministic and Stochastic Systems«
“The book ends with full references and an index. The book is a self-contained piece … .” (Yilun Shang, Mathematical Reviews, March, 2022)
()