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010   $a3-319-49247-0
024 7 $a10.1007/978-3-319-49247-6
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035   $a(MiAaPQ)EBC4794255
035   $a(DE-He213)978-3-319-49247-6
035   $a(PPN)19834113X
035   $a(EXLCZ)993710000001041188
100   $a20161228d2016      u|         0
101 0 $aeng
135   $aurcnu||||||||
181   $2rdacontent
182   $2rdamedia
183   $2rdacarrier
200 10$aApplied Nonautonomous and Random Dynamical Systems $eApplied Dynamical Systems /$fby Tomás Caraballo, Xiaoying Han
205   $a1st ed. 2016.
210  1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2016.
215   $a1 online resource (115 pages) $cillustrations
225 1 $aSpringerBriefs in Mathematics,$x2191-8198
311 08$a3-319-49246-2 
320   $aIncludes bibliographical references.
327   $a1 Introduction -- 2 Autonomous dynamical systems. - 3 Nonautonomous dynamical systems -- 4 Random dynamical - References .
330   $aThis book offers an introduction to the theory of non-autonomous and stochastic dynamical systems, with a focus on the importance of the theory in the Applied Sciences. It starts by discussing the basic concepts from the theory of autonomous dynamical systems, which are easier to understand and can be used as the motivation for the non-autonomous and stochastic situations. The book subsequently establishes a framework for non-autonomous dynamical systems, and in particular describes the various approaches currently available for analysing the long-term behaviour of non-autonomous problems. Here, the major focus is on the novel theory of pullback attractors, which is still under development. In turn, the third part represents the main body of the book, introducing the theory of random dynamical systems and random attractors and revealing how it may be a suitable candidate for handling realistic models with stochasticity. A discussion of future research directions serves to round out the coverage.
410  0$aSpringerBriefs in Mathematics,$x2191-8198
606   $aDifferential equations
606   $aProbabilities
606   $aBiomathematics
606   $aApplied mathematics
606   $aEngineering mathematics
606   $aOrdinary Differential Equations$3https://scigraph.springernature.com/ontologies/product-market-codes/M12147
606   $aProbability Theory and Stochastic Processes$3https://scigraph.springernature.com/ontologies/product-market-codes/M27004
606   $aGenetics and Population Dynamics$3https://scigraph.springernature.com/ontologies/product-market-codes/M31010
606   $aApplications of Mathematics$3https://scigraph.springernature.com/ontologies/product-market-codes/M13003
615  0$aDifferential equations.
615  0$aProbabilities.
615  0$aBiomathematics.
615  0$aApplied mathematics.
615  0$aEngineering mathematics.
615 14$aOrdinary Differential Equations.
615 24$aProbability Theory and Stochastic Processes.
615 24$aGenetics and Population Dynamics.
615 24$aApplications of Mathematics.
676   $a515.352
700   $aCaraballo$b Toma?s$4aut$4http://id.loc.gov/vocabulary/relators/aut$00
702   $aHan$b Xiaoying$4aut$4http://id.loc.gov/vocabulary/relators/aut
906   $aBOOK
912   $a9910163148203321
996   $aApplied Nonautonomous and Random Dynamical Systems$91989883
997   $aUNINA