000 | 03042nam a22004815i 4500 | ||
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001 | 978-3-540-48429-5 | ||
003 | DE-He213 | ||
005 | 20160624101830.0 | ||
007 | cr nn 008mamaa | ||
008 | 121227s1999 gw | s |||| 0|eng d | ||
020 |
_a9783540484295 _9978-3-540-48429-5 |
||
024 | 7 |
_a10.1007/BFb0093184 _2doi |
|
050 | 4 | _aQA614-614.97 | |
072 | 7 |
_aPBKS _2bicssc |
|
072 | 7 |
_aMAT034000 _2bisacsh |
|
082 | 0 | 4 |
_a514.74 _223 |
100 | 1 |
_aPilyugin, Sergei Yu. _eauthor. |
|
245 | 1 | 0 |
_aShadowing in Dynamical Systems _h[electronic resource] / _cby Sergei Yu. Pilyugin. |
260 | 1 |
_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg, _c1999. |
|
264 | 1 |
_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg, _c1999. |
|
300 |
_aXX, 276 p. _bonline resource. |
||
336 |
_atext _btxt _2rdacontent |
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337 |
_acomputer _bc _2rdamedia |
||
338 |
_aonline resource _bcr _2rdacarrier |
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347 |
_atext file _bPDF _2rda |
||
490 | 1 |
_aLecture Notes in Mathematics, _x0075-8434 ; _v1706 |
|
505 | 0 | _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. | |
520 | _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. | ||
650 | 0 | _aMathematics. | |
650 | 0 | _aDifferentiable dynamical systems. | |
650 | 0 | _aGlobal analysis. | |
650 | 1 | 4 | _aMathematics. |
650 | 2 | 4 | _aGlobal Analysis and Analysis on Manifolds. |
650 | 2 | 4 | _aDynamical Systems and Ergodic Theory. |
710 | 2 | _aSpringerLink (Online service) | |
773 | 0 | _tSpringer eBooks | |
776 | 0 | 8 |
_iPrinted edition: _z9783540662990 |
786 | _dSpringer | ||
830 | 0 |
_aLecture Notes in Mathematics, _x0075-8434 ; _v1706 |
|
856 | 4 | 0 | _uhttp://dx.doi.org/10.1007/BFb0093184 |
942 |
_2EBK1707 _cEBK |
||
999 |
_c31001 _d31001 |