000 | 03176nam a22005535i 4500 | ||
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001 | 978-3-030-50987-3 | ||
003 | DE-He213 | ||
005 | 20220801214812.0 | ||
007 | cr nn 008mamaa | ||
008 | 200702s2021 sz | s |||| 0|eng d | ||
020 |
_a9783030509873 _9978-3-030-50987-3 |
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024 | 7 |
_a10.1007/978-3-030-50987-3 _2doi |
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050 | 4 | _aQA267.7 | |
072 | 7 |
_aUYA _2bicssc |
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_aCOM014000 _2bisacsh |
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_aUYA _2thema |
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_a511.352 _223 |
100 | 1 |
_aKuznetsov, Nikolay. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut _940550 |
|
245 | 1 | 0 |
_aAttractor Dimension Estimates for Dynamical Systems: Theory and Computation _h[electronic resource] : _bDedicated to Gennady Leonov / _cby Nikolay Kuznetsov, Volker Reitmann. |
250 | _a1st ed. 2021. | ||
264 | 1 |
_aCham : _bSpringer International Publishing : _bImprint: Springer, _c2021. |
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300 |
_aXIX, 545 p. 34 illus., 10 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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347 |
_atext file _bPDF _2rda |
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490 | 1 |
_aEmergence, Complexity and Computation, _x2194-7295 ; _v38 |
|
505 | 0 | _aAttractors and Lyapunov Functions -- Singular Values, Exterior Calculus and Logarithmic Norms -- Introduction to Dimension Theory. . | |
520 | _aThis book provides analytical and numerical methods for the estimation of dimension characteristics (Hausdorff, Fractal, Carathéodory dimensions) for attractors and invariant sets of dynamical systems and cocycles generated by smooth differential equations or maps in finite-dimensional Euclidean spaces or on manifolds. It also discusses stability investigations using estimates based on Lyapunov functions and adapted metrics. Moreover, it introduces various types of Lyapunov dimensions of dynamical systems with respect to an invariant set, based on local, global and uniform Lyapunov exponents, and derives analytical formulas for the Lyapunov dimension of the attractors of the Hénon and Lorenz systems. Lastly, the book presents estimates of the topological entropy for general dynamical systems in metric spaces and estimates of the topological dimension for orbit closures of almost periodic solutions to differential equations. | ||
650 | 0 |
_aComputational complexity. _93729 |
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650 | 0 |
_aNonlinear Optics. _911414 |
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650 | 0 |
_aSystem theory. _93409 |
|
650 | 1 | 4 |
_aComputational Complexity. _93729 |
650 | 2 | 4 |
_aNonlinear Optics. _911414 |
650 | 2 | 4 |
_aComplex Systems. _918136 |
700 | 1 |
_aReitmann, Volker. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut _940551 |
|
710 | 2 |
_aSpringerLink (Online service) _940552 |
|
773 | 0 | _tSpringer Nature eBook | |
776 | 0 | 8 |
_iPrinted edition: _z9783030509866 |
776 | 0 | 8 |
_iPrinted edition: _z9783030509880 |
776 | 0 | 8 |
_iPrinted edition: _z9783030509897 |
830 | 0 |
_aEmergence, Complexity and Computation, _x2194-7295 ; _v38 _940553 |
|
856 | 4 | 0 | _uhttps://doi.org/10.1007/978-3-030-50987-3 |
912 | _aZDB-2-ENG | ||
912 | _aZDB-2-SXE | ||
942 | _cEBK | ||
999 |
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