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| Paper: |
Nonlinear Analysis of the Lightcurve of AC Herculis |
| Volume: |
135, A Half Century of Stellar Pulsation Interpretations: a Tribute to Arthur N. Cox |
| Page: |
231 |
| Authors: |
Buchler, J. R.; Kollath, Z.; Serre, T. |
| Abstract: |
The AAVSO lightcurve data of the irregularly pulsating star AC Herculis have been analyzed. The lightcurve is shown to be incompatible with a periodic, or 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. This is the second star of the RV Tau type for which the irregular lightcurve has been shown to be a result of chaos. More specifically, with the help of the global flow reconstruction method we find that the lightcurve is generated by a deterministic 3 or 4 dimensional dynamics -- 3 or 4 first order ODEs. The Lyapunov fractal dimension of the underlying dynamic attractor is computed to be dL~2.2, that is much smaller than the value of dL ~3.1 that was found for R Sct. |
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