000 | 04414nam a22005415i 4500 | ||
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001 | 978-3-662-48410-4 | ||
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008 | 160303s2016 gw | s |||| 0|eng d | ||
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_a9783662484104 _9978-3-662-48410-4 |
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_a10.1007/978-3-662-48410-4 _2doi |
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_aPBWR _2bicssc |
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_aPBWR _2thema |
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_aPHDT _2thema |
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_a621 _223 |
245 | 1 | 0 |
_aChaos Detection and Predictability _h[electronic resource] / _cedited by Charalampos (Haris) Skokos, Georg A. Gottwald, Jacques Laskar. |
264 | 1 |
_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg : _bImprint: Springer, _c2016. |
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300 |
_aXI, 269 p. 122 illus., 44 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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_aonline resource _bcr _2rdacarrier |
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_atext file _bPDF _2rda |
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490 | 1 |
_aLecture Notes in Physics, _x0075-8450 ; _v915 |
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505 | 0 | _aEstimating Lyapunov exponents from time series -- Theory and applications of the fast Lyapunov Indicator (FLI) method -- Theory and applications of the Orthogonal Fast Lyapunov Indicator (OFLI and OFLI2) methods -- Theory and applications of the Mean Exponential Growth factor of Nearby Orbits (MEGNO) method -- The Smaller (SALI) and the Generalized (GALI) Alignment Indices: Efficient Methods of Chaos Detection -- The Relative Lyapunov Indicators: Theory and Application to Dynamical Astronomy -- The 0-1 Test for Chaos: A review. | |
520 | _aDistinguishing chaoticity from regularity in deterministic dynamical systems and specifying the subspace of the phase space in which instabilities are expected to occur is of utmost importance in as disparate areas as astronomy, particle physics and climate dynamics. To address these issues there exists a plethora of methods for chaos detection and predictability. The most commonly employed technique for investigating chaotic dynamics, i.e. the computation of Lyapunov exponents, however, may suffer a number of problems and drawbacks, for example when applied to noisy experimental data. In the last two decades, several novel methods have been developed for the fast and reliable determination of the regular or chaotic nature of orbits, aimed at overcoming the shortcomings of more traditional techniques. This set of lecture notes and tutorial reviews serves as an introduction to and overview of modern chaos detection and predictability techniques for graduate students and non-specialists. The book covers theoretical and computational aspects of traditional methods to calculate Lyapunov exponents, as well as of modern techniques like the Fast (FLI), the Orthogonal (OFLI) and the Relative (RLI) Lyapunov Indicators, the Mean Exponential Growth factor of Nearby Orbits (MEGNO), the Smaller (SALI) and the Generalized (GALI) Alignment Index and the ‘0-1’ test for chaos. | ||
650 | 0 | _aMathematical physics. | |
650 | 0 | _aAstrophysics. | |
650 | 1 | 4 |
_aApplications of Nonlinear Dynamics and Chaos Theory. _0http://scigraph.springernature.com/things/product-market-codes/P33020 |
650 | 2 | 4 |
_aMathematical Methods in Physics. _0http://scigraph.springernature.com/things/product-market-codes/P19013 |
650 | 2 | 4 |
_aMathematical Applications in the Physical Sciences. _0http://scigraph.springernature.com/things/product-market-codes/M13120 |
650 | 2 | 4 |
_aSpace Sciences (including Extraterrestrial Physics, Space Exploration and Astronautics). _0http://scigraph.springernature.com/things/product-market-codes/P22030 |
650 | 2 | 4 |
_aEarth System Sciences. _0http://scigraph.springernature.com/things/product-market-codes/G35000 |
700 | 1 |
_aSkokos, Charalampos (Haris). _eeditor. _4edt _4http://id.loc.gov/vocabulary/relators/edt |
|
700 | 1 |
_aGottwald, Georg A. _eeditor. _4edt _4http://id.loc.gov/vocabulary/relators/edt |
|
700 | 1 |
_aLaskar, Jacques. _eeditor. _4edt _4http://id.loc.gov/vocabulary/relators/edt |
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710 | 2 | _aSpringerLink (Online service) | |
773 | 0 | _tSpringer eBooks | |
776 | 0 | 8 |
_iPrinted edition: _z9783662484081 |
776 | 0 | 8 |
_iPrinted edition: _z9783662484098 |
830 | 0 |
_aLecture Notes in Physics, _x0075-8450 ; _v915 |
|
856 | 4 | 0 | _uhttps://doi.org/10.1007/978-3-662-48410-4 |
912 | _aZDB-2-PHA | ||
912 | _aZDB-2-LNP | ||
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