Synchronization in infinite-dimensional deterministic and stochastic systems / Igor Chueshov, Björn Schmalfuß.
2020
QA274.2 .C48 2020
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Title
Synchronization in infinite-dimensional deterministic and stochastic systems / Igor Chueshov, Björn Schmalfuß.
ISBN
9783030470913 (electronic book)
3030470911 (electronic book)
9783030470906
3030470903
3030470911 (electronic book)
9783030470906
3030470903
Published
Cham, Switzerland : Springer, [2020]
Language
English
Description
1 online resource (xix, 329 pages)
Item Number
10.1007/978-3-030-47
Call Number
QA274.2 .C48 2020
Dewey Decimal Classification
519.2/2
Summary
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.
Bibliography, etc. Note
Includes bibliographical references and index.
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Access limited to authorized users.
Source of Description
Description based on online resource; title from digital title page (viewed on September 08, 2020).
Added Author
Schmalfuss, Björn, author.
Series
Applied mathematical sciences (Springer-Verlag New York Inc.) ; v. 204.
Available in Other Form
Synchronization in Infinite-Dimensional Deterministic and Stochastic Systems
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Table of Contents
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.
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.