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Synchronization in Infinite-Dimensional Deterministic and Stochastic Systems
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Catalogue Information
Field name
Details
Dewey Class
515.39
515.48
Title
Synchronization in Infinite-Dimensional Deterministic and Stochastic Systems ([EBook]) / by Igor Chueshov, Björn Schmalfuß.
Author
Chueshov, Igor
Added Personal Name
Schmalfuß, Björn
Other name(s)
SpringerLink (Online service)
Edition statement
1st ed. 2020.
Publication
Cham : : Springer International Publishing : : Imprint: Springer, , 2020.
Physical Details
XIX, 329 p. : online resource.
Series
Applied mathematical sciences
0066-5452 ; ; 204
ISBN
9783030470913
Summary Note
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 note
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.
Mode of acces to digital resource
Digital book. Cham Springer Nature 2020. - Mode of access: World Wide Web. System requirements: Internet Explorer 6.0 (or higher) or Firefox 2.0 (or higher). Available as searchable text in PDF format
System details note
- Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
Internet Site
https://doi.org/10.1007/978-3-030-47091-3
Links to Related Works
Subject References:
Applications of Nonlinear Dynamics and Chaos Theory
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Complex Systems
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Dynamical systems and ergodic theory
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Dynamics
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Ergodic theory
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Statistical Physics
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System theory
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Authors:
author
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Chueshov, Igor
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Schmalfuß, Björn
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Corporate Authors:
SpringerLink (Online service)
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Series:
Applied mathematical sciences
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Classification:
515.39
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515.48
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515.39 (DDC 23)
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