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

Format:

Book

Author/Creator:

Chueshov, Igor, 1951-2016, author.

Schmalfuss, Björn, author.

Series:

Applied mathematical sciences (Springer-Verlag New York Inc.) ; v. 204.

Applied mathematical sciences, 0066-5452 ; volume 204

Language:

English

Subjects (All):

Stochastic systems.

System analysis.

Physical Description:

xix, 329 pages ; 25 cm.

Place of Publication:

Cham, Switzerland : Springer, [2020]

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.

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.

Notes:

Includes bibliographical references (pages 315-326) and index.

Other Format:

e-book version

ISBN:

9783030470906

3030470903

OCLC:

1191808823

Publisher Number:

9783030470906