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Titlebook: Chaos Detection and Predictability; Charalampos (Haris) Skokos,Georg A. Gottwald,Jacqu Book 2016 Springer-Verlag Berlin Heidelberg 2016 Ch

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书目名称Chaos Detection and Predictability
编辑Charalampos (Haris) Skokos,Georg A. Gottwald,Jacqu
视频video
概述Edited and authored by pioneers in the field.Comprehensive and self-contained introduction and overview.Useful as text for advanced courses and for self-study
丛书名称Lecture Notes in Physics
图书封面Titlebook: Chaos Detection and Predictability;  Charalampos (Haris) Skokos,Georg A. Gottwald,Jacqu Book 2016 Springer-Verlag Berlin Heidelberg 2016 Ch
描述.Distinguishing 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 techniquesfor 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) a
出版日期Book 2016
关键词Chaos Detection and Phase Space Reconstruction; Covariant and Finite Site Lyapunov Vectors; Determinis
版次1
doihttps://doi.org/10.1007/978-3-662-48410-4
isbn_softcover978-3-662-48408-1
isbn_ebook978-3-662-48410-4Series ISSN 0075-8450 Series E-ISSN 1616-6361
issn_series 0075-8450
copyrightSpringer-Verlag Berlin Heidelberg 2016
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Der Polyneuropathie auf der Spur,he orbits in different systems. These methods are mainly focused to distinguish chaotic from regular behavior. Among the variational methods, based into the variational equations, we discuss in this paper the so-called Orthogonal Fast Lyapunov Indicator (OFLI and OFLI2) methods that are variants of
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https://doi.org/10.1007/978-3-662-67144-3 Hamiltonian systems. It is shown that the RLI is an efficient numerical tool in determining the true nature of individual orbits, and in separating ordered and chaotic regions of the phase space of dynamical systems. A comparison between the RLI and some other variational indicators are presented,
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Was versteht man unter Polyneuropathie?,verse of the maximal Lyapunov exponent, the Lyapunov time, is not the time scale beyond which predictions fail. Instead, as the example of weather forecasting will show, predictions can be successful on lead times which are several orders of magnitude longer. We analyze the reasons which prevent err
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Charalampos (Haris) Skokos,Georg A. Gottwald,JacquEdited and authored by pioneers in the field.Comprehensive and self-contained introduction and overview.Useful as text for advanced courses and for self-study
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