MARC record from Internet Archive

LEADER: 04509cam 2200673 a 4500
001 ocm41871678
003 OCoLC
005 20190919002253.0
008 990709s1999 gw b 001 0 eng
010 $a 99038998
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019 $a42746316
020 $a3540662995$q(acid-free paper)
020 $a9783540662990$q(acid-free paper)
035 $a(OCoLC)41871678$z(OCoLC)42746316
050 00 $aQA3$b.L28 no. 1706
072 7 $aQA$2lcco
082 00 $a510 s$a515/.352$221
084 $a31.44$2bcl
084 $a37C50$2msc
100 1 $aPilyugin, Sergei Yu.$q(Sergei Yurievitch),$d1947-
245 10 $aShadowing in dynamical systems /$cSergei Yu. Pilyugin.
260 $aBerlin ;$aNew York :$bSpringer,$c℗♭1999.
300 $axvi, 271 pages ;$c24 cm
336 $atext$btxt$2rdacontent
337 $aunmediated$bn$2rdamedia
338 $avolume$bnc$2rdacarrier
490 1 $aLecture notes in mathematics,$x0075-8434 ;$v1706
504 $aIncludes bibliographical references (pages 259-267) and index.
505 0 $aCh. 1. Shadowing Near an Invariant Set -- 1.1. Basic Definitions -- 1.2. Shadowing Near a Hyperbolic Set for a Diffeomorphism -- 1.2.1. Hyperbolic Sets -- 1.2.2. The Classical Shadowing Lemma -- 1.2.3. Shadowing for a Family of Approximate Trajectories -- 1.2.4. The Method of Bowen -- 1.3. Shadowing for Mappings of Banach Spaces -- 1.3.1. Shadowing for a Sequence of Mappings -- 1.3.2. Conditions of Uniqueness -- 1.3.3. Application to the Classical Shadowing Lemma -- 1.3.4. Theorems of Chow-Lin-Palmer and Steinlein-Walther -- 1.3.5. Finite-Dimensional Case -- 1.4. Limit Shadowing -- 1.4.1. Limit Shadowing Property -- 1.4.2. L[subscript p]-Shadowing -- 1.4.3. The Sacker-Sell Spectrum and Weighted Shadowing -- 1.4.4. Asymptotic Pseudotrajectories -- 1.5. Shadowing for Flows -- Ch. 2. Topologically Stable, Structurally Stable, and Generic Systems -- 2.1. Shadowing and Topological Stability -- 2.2. Shadowing in Structurally Stable Systems -- 2.2.1. The Case of a Flow -- 2.2.2. The Case of a Diffeomorphism -- 2.3. Shadowing in Two-Dimensional Diffeomorphisms -- 2.4. C[superscript 0]-Genericity of Shadowing for Homeomorphisms -- Ch. 3. Systems with Special Structure -- 3.1. One-Dimensional Systems -- 3.2. Linear and Linearly Induced Systems -- 3.3. Lattice Systems -- 3.4. Global Attractors for Evolution Systems -- Ch. 4. Numerical Applications of Shadowing -- 4.1. Finite Shadowing -- 4.2. Periodic Shadowing for Flows -- 4.3. Approximation of Spectral Characteristics -- 4.3.1. Evaluation of Upper Lyapunov Exponents -- 4.3.2. Approximation of the Morse Spectrum -- 4.4. Discretizations of PDEs -- 4.4.1. Shadowing in Discretizations -- 4.4.2. Discretization Errors on Unbounded Time Intervals.
650 0 $aShadowing (Differentiable dynamical systems)
650 0 $aDifferential equations$xNumerical solutions.
650 6 $aDynamique diffe rentiable.
650 6 $aE quations diffe rentielles$xSolutions nume riques.
650 7 $aDifferential equations$xNumerical solutions.$2fast$0(OCoLC)fst00893451
650 7 $aShadowing (Differentiable dynamical systems)$2fast$0(OCoLC)fst01115048
650 17 $aDynamische systemen.$2gtt
650 17 $aDifferentiaalvergelijkingen.$2gtt
650 7 $aSistemas dinamicos.$2larpcal
830 0 $aLecture notes in mathematics (Springer-Verlag) ;$v1706.
856 41 $3Table of contents$uhttp://catdir.loc.gov/catdir/enhancements/fy0815/99038998-t.html
856 41 $uhttp://www.springerlink.com/content/j77613p68111
856 41 $uhttp://www.springerlink.com/openurl.asp?genre=issue&issn=0075-8434&volume=1706
856 42 $3Publisher description$uhttp://catdir.loc.gov/catdir/enhancements/fy0815/99038998-d.html
938 $aBaker & Taylor$bBKTY$c69.95$d69.95$i3540662995$n0003360563$sactive
938 $aBrodart$bBROD$n54708508$c$49.00
938 $aBaker and Taylor$bBTCP$n99038998
938 $aOtto Harrassowitz$bHARR$nhar005101281
938 $aYBP Library Services$bYANK$n1619363
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994 $aZ0$bP4A
948 $hNO HOLDINGS IN P4A - 255 OTHER HOLDINGS