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001 978-3-642-14258-1
003 DE-He213
005 20190213151444.0
007 cr nn 008mamaa
008 100825s2010 gw | s |||| 0|eng d
020 _a9783642142581
_9978-3-642-14258-1
024 7 _a10.1007/978-3-642-14258-1
_2doi
050 4 _aQA313
072 7 _aPBWR
_2bicssc
072 7 _aMAT034000
_2bisacsh
072 7 _aPBWR
_2thema
082 0 4 _a515.39
_223
082 0 4 _a515.48
_223
100 1 _aPötzsche, Christian.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
245 1 0 _aGeometric Theory of Discrete Nonautonomous Dynamical Systems
_h[electronic resource] /
_cby Christian Pötzsche.
264 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg,
_c2010.
300 _aXXIV, 399 p. 17 illus., 2 illus. in color.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aLecture Notes in Mathematics,
_x0075-8434 ;
_v2002
505 0 _aNonautonomous Dynamical Systems -- Nonautonomous Difference Equations -- Linear Difference Equations -- Invariant Fiber Bundles -- Linearization.
520 _aNonautonomous dynamical systems provide a mathematical framework for temporally changing phenomena, where the law of evolution varies in time due to seasonal, modulation, controlling or even random effects. Our goal is to provide an approach to the corresponding geometric theory of nonautonomous discrete dynamical systems in infinite-dimensional spaces by virtue of 2-parameter semigroups (processes). These dynamical systems are generated by implicit difference equations, which explicitly depend on time. Compactness and dissipativity conditions are provided for such problems in order to have attractors using the natural concept of pullback convergence. Concerning a necessary linear theory, our hyperbolicity concept is based on exponential dichotomies and splittings. This concept is in turn used to construct nonautonomous invariant manifolds, so-called fiber bundles, and deduce linearization theorems. The results are illustrated using temporal and full discretizations of evolutionary differential equations.
650 0 _aDifferentiable dynamical systems.
650 1 4 _aDynamical Systems and Ergodic Theory.
_0http://scigraph.springernature.com/things/product-market-codes/M1204X
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783642142574
776 0 8 _iPrinted edition:
_z9783642142598
830 0 _aLecture Notes in Mathematics,
_x0075-8434 ;
_v2002
856 4 0 _uhttps://doi.org/10.1007/978-3-642-14258-1
912 _aZDB-2-SMA
912 _aZDB-2-LNM
999 _c10734
_d10734