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Synchronization in Infinite-Dimensional Deterministic and Stochastic Systems / / by Igor Chueshov, Björn Schmalfuß



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Autore: Chueshov Igor Visualizza persona
Titolo: Synchronization in Infinite-Dimensional Deterministic and Stochastic Systems / / by Igor Chueshov, Björn Schmalfuß Visualizza cluster
Pubblicazione: Cham : , : Springer International Publishing : , : Imprint : Springer, , 2020
Edizione: 1st ed. 2020.
Descrizione fisica: 1 online resource (XIX, 329 p.)
Disciplina: 003.76015118
519.22
Soggetto topico: Dynamics
Ergodic theory
Statistical physics
System theory
Dynamical Systems and Ergodic Theory
Applications of Nonlinear Dynamics and Chaos Theory
Complex Systems
Persona (resp. second.): SchmalfußBjörn
Nota di bibliografia: Includes bibliographical references and index.
Nota di contenuto: 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.
Sommario/riassunto: 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.
Titolo autorizzato: Synchronization in Infinite-Dimensional Deterministic and Stochastic Systems  Visualizza cluster
ISBN: 3-030-47091-1
Formato: Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione: Inglese
Record Nr.: 9910484493703321
Lo trovi qui: Univ. Federico II
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Serie: Applied Mathematical Sciences, . 0066-5452 ; ; 204