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100   $a20200729d2020      u|         0
101 0 $aeng
135   $aurnn|008mamaa
181   $ctxt$2rdacontent
182   $cc$2rdamedia
183   $acr$2rdacarrier
200 10$aSynchronization in Infinite-Dimensional Deterministic and Stochastic Systems /$fby Igor Chueshov, Björn Schmalfuß
205   $a1st ed. 2020.
210  1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2020.
215   $a1 online resource (XIX, 329 p.) 
225 1 $aApplied Mathematical Sciences,$x0066-5452 ;$v204
311 08$a3-030-47090-3 
320   $aIncludes bibliographical references and index.
327   $aIntroduction -- 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.
330   $aThe main goal of this book is to systematically address the mathematical methods that are applied in the study of synchronization of infinite-dimensional evolutionary dissipative or partially dissipative systems. It bases its unique monograph presentation on both general and abstract models and covers several important classes of coupled nonlinear deterministic and stochastic PDEs which generate infinite-dimensional dissipative systems. This text, which adapts readily to advanced graduate coursework in dissipative dynamics, requires some background knowledge in evolutionary equations and introductory functional analysis as well as a basic understanding of PDEs and the theory of random processes. Suitable for researchers in synchronization theory, the book is also relevant to physicists and engineers interested in both the mathematical background and the methods for the asymptotic analysis of coupled infinite-dimensional dissipative systems that arise in continuum mechanics.
410  0$aApplied Mathematical Sciences,$x0066-5452 ;$v204
606   $aDynamics
606   $aErgodic theory
606   $aStatistical physics
606   $aSystem theory
606   $aDynamical Systems and Ergodic Theory$3https://scigraph.springernature.com/ontologies/product-market-codes/M1204X
606   $aApplications of Nonlinear Dynamics and Chaos Theory$3https://scigraph.springernature.com/ontologies/product-market-codes/P33020
606   $aComplex Systems$3https://scigraph.springernature.com/ontologies/product-market-codes/M13090
615  0$aDynamics.
615  0$aErgodic theory.
615  0$aStatistical physics.
615  0$aSystem theory.
615 14$aDynamical Systems and Ergodic Theory.
615 24$aApplications of Nonlinear Dynamics and Chaos Theory.
615 24$aComplex Systems.
676   $a003.76015118
676   $a519.22
700   $aChueshov$b Igor$4aut$4http://id.loc.gov/vocabulary/relators/aut$066734
702   $aSchmalfuß$b Björn$4aut$4http://id.loc.gov/vocabulary/relators/aut
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910484493703321
996   $aSynchronization in Infinite-Dimensional Deterministic and Stochastic Systems$92391163
997   $aUNINA