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

ventilate

Estimating Lyapunov Exponents from Time Series, series and illustrate its features by the (iterated) Hénon map, the hyper chaotic folded-towel map, the well known chaotic Lorenz-63 system, and a time continuous 6-dimensional Lorenz-96 model. These examples show that the largest Lyapunov exponent from a time series of a low-dimensional chaotic sy

NADIR

Theory and Applications of the Fast Lyapunov Indicator (FLI) Method, contains a lot of information even on short integration times, while for the Largest Lyapunov Indicator large integration times are required in order to accurately approximate a limit value. The aim of this Chapter is to provide the definition of the Fast Lyapunov indicator and some simple examples

ABHOR

Book 2016d 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

角斗士

Estimating Lyapunov Exponents from Time Series,evisit the computation of the Lyapunov spectrum using model equations. Then, employing state space reconstruction (delay coordinates), two approaches for estimating Lyapunov exponents from time series are presented: methods based on approximations of Jacobian matrices of the reconstructed flow and s

Memorial

Theory and Applications of the Fast Lyapunov Indicator (FLI) Method,s for the detection of regular and chaotic orbits has been one of the key points to access the global properties of dynamical systems. In many cases the visualization of suitably chosen sections of the phase space has been determinant for the comprehension of the fascinating and complex interplay be

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泰然自若

The Smaller (SALI) and the Generalized (GALI) Alignment Indices: Efficient Methods of Chaos Detectios indicators based on the evolution of two or more, initially distinct, deviation vectors from the studied orbit. After explaining the motivation behind the introduction of these indices, we sum up the behaviors they exhibit for regular and chaotic motion, as well as for stable and unstable periodi

漂浮

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