Astronomy and Astrophysics – Astrophysics
Scientific paper
1997-08-13
Astronomy and Astrophysics
Astrophysics
Proceedings of the 4th Experimental Chaos Conference, Boca Raton, FL, August 1997, to be published by World Scientific
Scientific paper
The light curves of the two large amplitude variable stars, R Scuti and AC Herculis, display irregular pulsation cycles with 'periods' of 75 and 35 days, respectively. We review the evidence that the observed time-series are generated by low dimensional chaotic dynamics. In particular, a global flow reconstruction technique indicates that the minimum embedding dimensions are 4 and 3 for R Sct and AC Her, respectively, whereas the fractal dimensions are inferred to be approximately 3.1 and 2.05 - 2.45, respectively. It thus appears that the dimensions of the dynamics themselves are also 4 and 3.
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