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Applied Nonautonomous and Random Dynamical Systems : Applied Dynamical Systems / / by Tomás Caraballo, Xiaoying Han



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Autore: Caraballo Tomás Visualizza persona
Titolo: Applied Nonautonomous and Random Dynamical Systems : Applied Dynamical Systems / / by Tomás Caraballo, Xiaoying Han Visualizza cluster
Pubblicazione: Cham : , : Springer International Publishing : , : Imprint : Springer, , 2016
Edizione: 1st ed. 2016.
Descrizione fisica: 1 online resource (115 pages) : illustrations
Disciplina: 515.352
Soggetto topico: Differential equations
Probabilities
Biomathematics
Applied mathematics
Engineering mathematics
Ordinary Differential Equations
Probability Theory and Stochastic Processes
Genetics and Population Dynamics
Applications of Mathematics
Persona (resp. second.): HanXiaoying
Nota di bibliografia: Includes bibliographical references.
Nota di contenuto: 1 Introduction -- 2 Autonomous dynamical systems. - 3 Nonautonomous dynamical systems -- 4 Random dynamical - References .
Sommario/riassunto: This book offers an introduction to the theory of non-autonomous and stochastic dynamical systems, with a focus on the importance of the theory in the Applied Sciences. It starts by discussing the basic concepts from the theory of autonomous dynamical systems, which are easier to understand and can be used as the motivation for the non-autonomous and stochastic situations. The book subsequently establishes a framework for non-autonomous dynamical systems, and in particular describes the various approaches currently available for analysing the long-term behaviour of non-autonomous problems. Here, the major focus is on the novel theory of pullback attractors, which is still under development. In turn, the third part represents the main body of the book, introducing the theory of random dynamical systems and random attractors and revealing how it may be a suitable candidate for handling realistic models with stochasticity. A discussion of future research directions serves to round out the coverage.
Titolo autorizzato: Applied Nonautonomous and Random Dynamical Systems  Visualizza cluster
ISBN: 3-319-49247-0
Formato: Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione: Inglese
Record Nr.: 9910163148203321
Lo trovi qui: Univ. Federico II
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Serie: SpringerBriefs in Mathematics, . 2191-8198