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Analysis of the Irregular Pulsations of AC Her | | Z. Kollath J. R. Buchler T. Serre & J. Mattei
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8 Jul 1997 | | Subject: | Astrophysics; Chaotic Dynamics | astro-ph chao-dyn nlin.CD | | Affiliation: | Konkoly Observatory) J. R. Buchler (University of Florida) T. Serre (Observatoire de Paris, Meudon) & J. Mattei (AAVSO | | Abstract: | The AAVSO lightcurve data of the irregularly pulsating star AC Herculis of the RV Tau class are analysed. The lightcurve is shown to be incompatible with a periodic, or even multiperiodic pulsation, even if allowance is made for evolution. Instead the best explanation is that the irregularly alternating cycles are a manifestation of low dimensional chaos. The lightcurve is found to be generated by a 3 or 4 dimensional dynamics -- 3 or 4 first order ODEs. The (Lyapunov) fractal dimension of the underlying dynamic attractor is computed to be d_L ~ 2.2, smaller than the value of d_L ~ 3.1 found for R Sct. | | Source: | arXiv, astro-ph/9707099 | | Other source: | [GID 12795] astro-ph/9707099 | | Services: | Forum | Review | PDF | Favorites | |
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