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Synchronization in infinite-dimensio...

Chueshov, Igor.

Synchronization in infinite-dimensional deterministic and stochastic systems

Record Type:	Electronic resources : Monograph/item
Title/Author:	Synchronization in infinite-dimensional deterministic and stochastic systemsby Igor Chueshov, Bjorn SchmalfuB.
Author:	Chueshov, Igor.
other author:	SchmalfuB, Bjorn.
Published:	Cham :Springer International Publishing :2020.
Description:	xix, 329 p. :ill., digital ;24 cm.
Contained By:	Springer Nature eBook
Subject:	Stochastic systems.
Online resource:	https://doi.org/10.1007/978-3-030-47091-3
ISBN:	9783030470913$q(electronic bk.)

Synchronization in infinite-dimensional deterministic and stochastic systems
Chueshov, Igor.

Synchronization in infinite-dimensional deterministic and stochastic systems[electronic resource] /by Igor Chueshov, Bjorn SchmalfuB. - Cham :Springer International Publishing :2020. - xix, 329 p. :ill., digital ;24 cm. - Applied mathematical sciences,v.2040066-5452 ;. - Applied mathematical sciences ;v.176..

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.

ISBN: 9783030470913$q(electronic bk.)

Standard No.: 10.1007/978-3-030-47091-3doiSubjects--Topical Terms:

240201
Stochastic systems.

LC Class. No.: QA274.2 / .C484 2020

Dewey Class. No.: 519.22

Synchronization in infinite-dimensional deterministic and stochastic systems
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505 0 $a 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.
520 $a 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.
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