1.

Record Nr.

UNISA996418259403316

Autore

Chueshov Igor

Titolo

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

Pubbl/distr/stampa

Cham : , : Springer International Publishing : , : Imprint : Springer, , 2020

ISBN

3-030-47091-1

Edizione

[1st ed. 2020.]

Descrizione fisica

1 online resource (XIX, 329 p.)

Collana

Applied Mathematical Sciences, , 0066-5452 ; ; 204

Disciplina

003.76015118

Soggetti

Dynamics

Ergodic theory

Statistical physics

System theory

Dynamical Systems and Ergodic Theory

Applications of Nonlinear Dynamics and Chaos Theory

Complex Systems

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

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.