On the observed complexity of chaotic stellar pulsation

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Chaos, Light Curve, Perturbation Theory, Stellar Oscillations, Variable Stars, Astronomical Photometry, Period Doubling, Shock Waves, Stellar Models, Strange Attractors

Scientific paper

The existence of some variable stars producing very complicated light curves is well known. Theoretical calculations suggest that the irregular behavior of the pulsation models in the RV Tauri and W Virginis regime is low dimensional is the result of period-doubling or tangent bifurcations. The light variation of the RV Tauri star R Scuti covering 150 years was analyzed by Kollath (1990). A striking similarity was found between the reconstructed attractor of the Rossler model and that of the light variation of R Scuti. This result confirms the theoretical prediction of the existence of chaos, but a discrepancy still exists between the theory and observation. We could not find evidence for low dimension (D = 2-3). The analyses of other stars also show rather erratic behavior. A possible answer for this discrepancy is the treatment of stochastic perturbations by convection (Perdang 1991). It was shown that a relatively simple system (e.g. low pass filter) can increase the correlation and information dimension of a signal. The inner pulsation - light variation transfer mechanism can be represented by a smooth function for many kind of variable stars, but it is more complicated for red giant and supergiant stars. In the latter case the shock waves play an important role and the light variation can be modeled only with the combined dynamics of the pulsation and the transfer mechanism. We discuss the effect of a simple model to the complexity of the observable light curves: even a linear transfer mechanism can increase the dimension of the attractor.

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