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010   $a3-540-48429-9
024 7 $a10.1007/BFb0093184
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100   $a20121227d1999      u|         0
101 0 $aeng
135   $aurnn#008mamaa
181   $ctxt
182   $cc
183   $acr
200 10$aShadowing in Dynamical Systems /$fby Sergei Yu. Pilyugin
205   $a1st ed. 1999.
210  1$aBerlin, Heidelberg :$cSpringer Berlin Heidelberg :$cImprint: Springer,$d1999.
215   $a1 online resource (XX, 276 p.)
225 1 $aLecture Notes in Mathematics,$x1617-9692 ;$v1706
300   $aBibliographic Level Mode of Issuance: Monograph
311 08$a3-540-66299-5 
327   $aShadowing Near an Invariant Set: Basic Definitions. Shadowing Near a Hyperbolic Set for a Diffeomorphism. Shadowing for Mappings of Banach Spaces. Limit Shadowing. Shadowing for Flows -- Topologically Stable, Structurally Stable, and Generic Systems: Shadowing and Topological Stability. Shadowing in Structurally Stable Systems. Shadowing in Two-Dimensional Diffeomorphisms. C0-Genericity of Shadowing for Homeomorphisms -- Systems with Special Structure: One-Dimensional Systems. Linear and Linearly Induced Systems. Lattice Systems. Global Attractors for Evolution Systems -- Numerical Applications of Shadowing: Finite Shadowing. Periodic Shadowing for Flows. Approximation of Spectral Characteristics. Approximation of the Morse Spectrum. Discretizations of PDEs -- References -- Index.
330   $aThis book is an introduction to the theory of shadowing of approximate trajectories in dynamical systems by exact ones. This is the first book completely devoted to the theory of shadowing. It shows the importance of shadowing theory for both the qualitative theory of dynamical systems and the theory of numerical methods. Shadowing Methods allow us to estimate differences between exact and approximate solutions on infinite time intervals and to understand the influence of error terms. The book is intended for specialists in dynamical systems, for researchers and graduate students in the theory of numerical methods.
410  0$aLecture Notes in Mathematics,$x1617-9692 ;$v1706
606   $aGlobal analysis (Mathematics)
606   $aManifolds (Mathematics)
606   $aDynamics
606   $aGlobal Analysis and Analysis on Manifolds
606   $aDynamical Systems
615  0$aGlobal analysis (Mathematics)
615  0$aManifolds (Mathematics)
615  0$aDynamics.
615 14$aGlobal Analysis and Analysis on Manifolds.
615 24$aDynamical Systems.
676   $a515.352
686   $a37C50$2msc
700   $aPilyugin$b Sergei Yu$g(Sergei Yurievitch),$f1947-$060268
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910146309003321
996   $aShadowing in dynamical systems$9262404
997   $aUNINA