03647nam 22006135 450 99641825940331620200729020320.03-030-47091-110.1007/978-3-030-47091-3(CKB)4100000011363842(DE-He213)978-3-030-47091-3(MiAaPQ)EBC6274515(PPN)269149996(EXLCZ)99410000001136384220200729d2020 u| 0engurnn|008mamaatxtrdacontentcrdamediacrrdacarrierSynchronization in Infinite-Dimensional Deterministic and Stochastic Systems[electronic resource] /by Igor Chueshov, Björn Schmalfuß1st ed. 2020.Cham :Springer International Publishing :Imprint: Springer,2020.1 online resource (XIX, 329 p.) Applied Mathematical Sciences,0066-5452 ;2043-030-47090-3 Includes bibliographical references and index.Introduction -- 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.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.Applied Mathematical Sciences,0066-5452 ;204DynamicsErgodic theoryStatistical physicsSystem theoryDynamical Systems and Ergodic Theoryhttps://scigraph.springernature.com/ontologies/product-market-codes/M1204XApplications of Nonlinear Dynamics and Chaos Theoryhttps://scigraph.springernature.com/ontologies/product-market-codes/P33020Complex Systemshttps://scigraph.springernature.com/ontologies/product-market-codes/M13090Dynamics.Ergodic theory.Statistical physics.System theory.Dynamical Systems and Ergodic Theory.Applications of Nonlinear Dynamics and Chaos Theory.Complex Systems.003.76015118Chueshov Igorauthttp://id.loc.gov/vocabulary/relators/aut66734Schmalfuß Björnauthttp://id.loc.gov/vocabulary/relators/autMiAaPQMiAaPQMiAaPQBOOK996418259403316Synchronization in Infinite-Dimensional Deterministic and Stochastic Systems2391163UNISA