Global scaling properties of a chaotic attractor reconstructed from experimental data

Details Global scaling properties of a chaotic attractor reconstructed from experimental data Global scaling properties of a chaotic attractor reconstructed from experimental data

Feb 1988

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1988phrva..37.1314a&link_type=abstract

Physical Review A - General Physics, 3rd Series (ISSN 0556-2791), vol. 37, Feb. 15, 1988, p. 1314-1322. Research supported by th

Statistics

Computation

23

Chaos, Kolmogoroff Theory, Liapunov Functions, Neutron Stars, Stellar Luminosity, Strange Attractors, X Ray Sources, Computational Astrophysics, Differential Equations

Scientific paper

The method of correlation integrals is used to study aspects of attractor reconstruction and analysis for a specific chaotic attractor. Emphasis is placed on requirements on the experimental data, the generation of the artificial phase space, and the evaluation of the correlation integral. Using Exosat data, the attractor analysis is carried out for the process generating irregular variations of the X-ray radiation from the neutron star Her X-1. The global scaling properties of the attractor are found to provide a useful criterion for an optimum adaptation of the length of the required time series to the particular attractor under consideration.

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