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Princeton University Library Catalog
Synchronization in infinite-dimensional deterministic and stochastic systems / Igor Chueshov, Björn Schmalfu€.
Chueshov, Igor, 1951-2016
Cham, Switzerland : Springer, 
xix, 329 pages ; 25 cm.
Applied mathematical sciences (Springer-Verlag New York Inc.) ; v. 204.
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Applied mathematical sciences, 0066-5452 ; volume 204
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.
Includes bibliographical references (pages 315-326) and index.
Part I: Deterministic Systems
Synchronization of global attractors and individual trajectories
Master-slave synchronization via invariant manifolds
Part II: Stochastic Systems
Stochastic Synchronization of Random Pullback Attractors
Master-slave synchronization in random systems.
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Synchronization in Infinite-Dimensional Deterministic and Stochastic Systems [electronic resource] / by Igor Chueshov, Björn Schmalfuß.