000 | 02859nam a22004575i 4500 | ||
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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 |
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024 | 7 |
_a10.1007/978-3-642-14258-1 _2doi |
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050 | 4 | _aQA313 | |
072 | 7 |
_aPBWR _2bicssc |
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072 | 7 |
_aMAT034000 _2bisacsh |
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072 | 7 |
_aPBWR _2thema |
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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 |
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245 | 1 | 0 |
_aGeometric Theory of Discrete Nonautonomous Dynamical Systems _h[electronic resource] / _cby Christian Pötzsche. |
264 | 1 |
_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg, _c2010. |
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300 |
_aXXIV, 399 p. 17 illus., 2 illus. in color. _bonline resource. |
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336 |
_atext _btxt _2rdacontent |
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337 |
_acomputer _bc _2rdamedia |
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338 |
_aonline resource _bcr _2rdacarrier |
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_atext file _bPDF _2rda |
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490 | 1 |
_aLecture Notes in Mathematics, _x0075-8434 ; _v2002 |
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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 |
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856 | 4 | 0 | _uhttps://doi.org/10.1007/978-3-642-14258-1 |
912 | _aZDB-2-SMA | ||
912 | _aZDB-2-LNM | ||
999 |
_c10734 _d10734 |