Data Files - Sprott's Gateway



Omitted is 129 pages of really good stuff on time-series analysis from J. C. Sprott, Chaos and Time-Series Analysis, Oxford University Press: Oxford (2003).

The material that follows is from the Appendix of the User’s Manual for the program Chaos Data Analyzer: Professional Version, Physics Academic Software: Raleigh, NC (1995).

Appendix A: DATA FILES

ASCIITXT.DAT

A file of 1,908 ASCII codes from the opening paragraphs of Gleick’s Chaos: Making a New Science.71 This record illustrates one possible way literature might be analyzed and studied using CDA Pro.72

BROWNIAN.DAT

A file of 2,000 data points from the integral of Gaussian white noise. This record illustrates a one-dimensional random walk (Brownian motion). It should have a 1/f 2 power spectrum and a Hurst exponent of 0.5.

CANTOR.DAT

A file of 2,000 data points randomly selected from a triadic Cantor set on the unit interval (0 < X < 1). A graph of such a Cantor set should have a fractal dimension of log(2)/log(3) ≈ 0.631 in a one-dimensional embedding.

CHAOS.DAT

A file of 2,000 data points for X(t) at intervals of (t = 0.05 for the Lorenz attractor1,2 dX/dt = 10(Y – X), dY/dt = 28X -Y - XZ, dZ/dt = XY – 8Z/3. The Lorenz attractor is a prototypical and historically important example of a dissipative chaotic flow.

DEVIL.DAT

A file of 2,000 data points obtained by integrating the triadic Cantor set of ordered points on the unit interval. The resulting time series is called the Devil’s staircase. It has an infinite number of steps but rises only a finite height.

EEG.DAT

A file of 2,000 data points representing eight seconds of an electroencephalogram from a 19-year-old, healthy male subject, seated and relaxed with eyes closed, sampled at 250 Hz with electrodes on the left front of the head. Units are 0.1 microvolts. The methods employed in CDA Pro might be of use in detecting neurological disorders73 (data courtesy of Richard Davidson, University of Wisconsin–Madison).

EKG.DAT

A file of 2,000 data points representing about 27 minutes of an electrocardiogram from a 44-year-old, healthy, sleeping male subject. The data represent the interval between successive heartbeats in units of milliseconds. The methods employed in CDA Pro might be of use in detecting cardiac disorders (data courtesy of J. Kenneth Ford, MD, FACC, Western Kentucky Cardiology Consultants, Paducah, KY).

ELNINO.DAT

A file of 2,000 data points representing the daily average ocean temperature in degrees Celsius between December 24, 1988 and July 5, 1994 at a depth of 1 meter obtained from a buoy moored in the eastern Pacific on the equator at a longitude of 110° W. Occasional El Niño conditions occur in which a shift in the trade winds alters the tropical Pacific ocean temperature and produces disruptive climatic changes. Some people think these changes are chaotic and thus might be predictable (data courtesy of Dr. Michael J. McPhaden, Director TOGA-TAO Project Office, National Oceanic and Atmospheric Administration, Pacific Marine Environmental Laboratory).

EXPDEV.DAT

A file of 2,000 values of the negative natural logarithm of a sequence of random deviates, uniformly distributed over the unit interval (0 to 1). The values are thus distributed with an exp(-X) distribution over the interval 0 ................
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