Synchronization in Infinite-Dimensional Deterministic and Stochastic Systems

Igor Chueshov, Björn Schmalfuß (Autoren)

Buch | Hardcover

XIX, 329 Seiten

2020 | 1st ed. 2020
Springer International Publishing (Verlag)
978-3-030-47090-6 (ISBN)

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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.

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.

"The book ends with full references and an index. The book is a self-contained piece ... ." (Yilun Shang, Mathematical Reviews, March, 2022)

“The book ends with full references and an index. The book is a self-contained piece … .” (Yilun Shang, Mathematical Reviews, March, 2022)

Erscheinungsdatum	31.07.2020
Reihe/Serie	Applied Mathematical Sciences
Zusatzinfo	XIX, 329 p.
Verlagsort	Cham
Sprache	englisch
Maße	155 x 235 mm
Gewicht	694 g
Themenwelt	Mathematik / Informatik ► Informatik ► Theorie / Studium
	Mathematik / Informatik ► Mathematik ► Angewandte Mathematik
	Naturwissenschaften ► Physik / Astronomie ► Mechanik
	Naturwissenschaften ► Physik / Astronomie ► Optik
Schlagworte	Deterministic and Stochastic Systems • Dynamical Systems • global attractors • Invariant and Inertial Manifolds • long-time behavior • Qualitative Analysis • random dynamical systems • Random pullback attractor • Synchronization
ISBN-10	3-030-47090-3 / 3030470903
ISBN-13	978-3-030-47090-6 / 9783030470906
Zustand	Neuware