Synchronization in Infinite-Dimensional Deterministic and Stochastic Systems
1st Edition
Published on 29. July 2020
XIX, 329 pages
978-3-030-47091-3 (ISBN)
Description
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.
Reviews / Votes
"The book ends with full references and an index. The book is a self-contained piece . ." (Yilun Shang, Mathematical Reviews, March, 2022)More details
Series
Language
English
Place of publication
Cham
Switzerland
Publishing group
Springer International Publishing
Target group
Professional and scholarly
Product notice
Reflowable
Illustrations
XIX, 329 p.
File size
3,84 MB
ISBN-13
978-3-030-47091-3 (9783030470913)
DOI
10.1007/978-3-030-47091-3
Schweitzer Classification
Other editions
Additional editions
Igor Chueshov | Björn Schmalfuß
Synchronization in Infinite-Dimensional Deterministic and Stochastic Systems
Book
07/2020
1st Edition
Springer
€139.09
Shipment within 7-9 days
Content
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.
