A search for chaotic behavior in the light curves of three long-period variables

Details A search for chaotic behavior in the light curves of three long-period variables A search for chaotic behavior in the light curves of three long-period variables

Jul 1990

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1990apj...357..235c&link_type=abstract

Astrophysical Journal, Part 1 (ISSN 0004-637X), vol. 357, July 1, 1990, p. 235-242. Research supported by NSERC and McMaster Uni

Astronomy and Astrophysics

Astrophysics

19

Chaos, Light Curve, Mira Variables, Variable Stars, X Ray Binaries, Accretion Disks, Neutron Stars, Power Spectra, Random Variables

Scientific paper

The results are presented of a study of the light curves of the long-period variables Omicron Ceti (Mira), R Leonis, and V Bootis. In searching for evidence of deterministic chaos, the technique of Grassberger and Procaccia (1983) in which the dimension of an attractor can in principle be inferred from a long time series of physical measurements of a system. Autocorrelation functions and power spectra are also computed. The variations seen in the optical light are basically periodic, with P about 332 days (Mira), 313 days (R Leo), and 259 days (V Boo). The power spectra exhibit maxima at frequencies corresponding to these times, and harmonics are observed up to order three or four. The variations in the light curves can be modeled by adding two components, one periodic and one random. A good simulation of the light curves is obtained if the amplitude of the random variations is about one-half that of the periodic amplitude.

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