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Synchronization in Infinite-Dimensional Deterministic and Stochastic Systems

✍ Scribed by Igor Chueshov, Björn Schmalfuß

Publisher
Springer International Publishing;Springer
Year
2020
Tongue
English
Leaves
346
Series
Applied Mathematical Sciences 204
Edition
1st ed.
Category
Library
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✦ Synopsis

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.


✦ Table of Contents

Front Matter ....Pages i-xix
Front Matter ....Pages 1-1
Synchronization of Global Attractors and Individual Trajectories (Igor Chueshov, Björn Schmalfuß)....Pages 3-114
Master–Slave Synchronization via Invariant Manifolds (Igor Chueshov, Björn Schmalfuß)....Pages 115-177
Front Matter ....Pages 179-179
Stochastic Synchronization of Random Pullback Attractors (Igor Chueshov, Björn Schmalfuß)....Pages 181-268
Master–Slave Synchronization in Random Systems (Igor Chueshov, Björn Schmalfuß)....Pages 269-314
Back Matter ....Pages 315-329

✦ Subjects

Mathematics; Dynamical Systems and Ergodic Theory; Applications of Nonlinear Dynamics and Chaos Theory; Complex Systems

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