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000754063 020__ $$a9783662484104$$q(electronic book)
000754063 020__ $$a3662484102$$q(electronic book)
000754063 020__ $$z9783662484081
000754063 0247_ $$a10.1007/978-3-662-48410-4$$2doi
000754063 035__ $$aSP(OCoLC)ocn944031022
000754063 035__ $$aSP(OCoLC)944031022
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000754063 24500 $$aChaos detection and predictability$$h[electronic resource] /$$cCharalampos (Haris) Skokos, Georg A. Gottwald, Jacques Laskar, editors.
000754063 264_1 $$aHeidelberg :$$bSpringer,$$c2016.
000754063 300__ $$a1 online resource (ix, 269 pages) :$$billustrations.
000754063 336__ $$atext$$btxt$$2rdacontent
000754063 337__ $$acomputer$$bc$$2rdamedia
000754063 338__ $$aonline resource$$bcr$$2rdacarrier
000754063 4901_ $$aLecture notes in physics,$$x0075-8450 ;$$vvolume 915
000754063 5050_ $$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.
000754063 506__ $$aAccess limited to authorized users.
000754063 520__ $$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.
000754063 588__ $$aOnline resource; title from PDF title page (SpringerLink, viewed March 7, 2016).
000754063 650_0 $$aLyapunov exponents.
000754063 650_0 $$aChaotic behavior in systems.
000754063 7001_ $$aSkokos, Charalampos,$$eeditor.
000754063 7001_ $$aGottwald, Georg A.$$eeditor.
000754063 7001_ $$aLaskar, Jacques,$$eeditor.
000754063 830_0 $$aLecture notes in physics ;$$vv. 915.
000754063 852__ $$bebk
000754063 85640 $$3SpringerLink$$uhttps://univsouthin.idm.oclc.org/login?url=http://link.springer.com/10.1007/978-3-662-48410-4$$zOnline Access$$91397441.1
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