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Coping with Chaos: Analysis of Chaotic Data and the Exploitation of Chaotic Systems (Wiley Series in Nonlinear Science) (1994-08-25)

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Coping with chaos : analysis of chaotic data and the ~ Get this from a library! Coping with chaos : analysis of chaotic data and the exploitation of chaotic systems. [Edward Ott; Tim Sauer; James A Yorke;] -- This monograph demonstrates how a basic knowledge of chaos theory can be used to evaluate chaotic experimental time series data and how the presence of chaos can be applied to achieve practical .

Uncovering transitions in paleoclimate time series and the ~ Ott, T. Sauer, and J. A. Yorke, Coping with Chaos: Analysis of Chaotic Data and the Exploitation of Chaotic Systems (Wiley Interscience, 1994). Google Scholar 30.

A new characterization of chaos from a time series ~ In the diagram for the Lorenz System, it has obtained a signature of chaos (see Fig. 2(b)) by the simultaneous decay of the accuracy and well-defined growth of the deviation. The characterization method developed in this work also is applicable to time series from real systems.

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EXACT STATE RECONSTRUCTORS IN THE RECOVERY OF MESSAGES ~ In this article we propose the use of nonlinear exact chaotic system state reconstructors for the fast and efficient decoding of multiple discrete-time chaotic encrypted digital messages. Exact sta.

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Network anomaly detection based on logistic regression of ~ Before going on with the extraction of chaotic invariants we verified on all the datasets, for each of the four time series corresponding to the aforementioned traffic properties, the presence of nonlinearity and deterministic chaos by performing a two-sided test on surrogate data with a confidence factor σ of 5% and a number of surrogates K = 5 by using the nonlinearTseries R-package .

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Recurrence Quantification Analysis as an Approach for ~ Considerations About Optimum Recurrence Rate. Based on the dominating 5 MHz frequency in the time series (Fig. 19.4) the Recurrence Rate for an embedding of a sine wave with a wavelength of 20 time steps (corresponding to 5 MHz at a sampling rate of 100 MHz) is considered.With any recurrence threshold \(\varepsilon > 0\) (because of the ideal motion exactly equalling itself after one wave .

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Control entropy identifies differential changes in ~ Regularity statistics have been previously applied to walking gait measures in the hope of gaining insight into the complexity of gait under different conditions and in different populations. Traditional regularity statistics are subject to the requirement of stationarity, a limitation for examining changes in complexity under dynamic conditions such as exhaustive exercise.

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