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On the Observed Complexity of Chaotic Stellar Pulsation

Published online by Cambridge University Press:  12 April 2016

Z. Kolláth*
Affiliation:
Konkoly Observatory, P.O. Box 61, H-1525 Budapest, Hungary

Extract

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The existence of some variable stars producing very complicated light curves is well known. Theoretical calculations suggest that the irregular behaviour of the pulsation models in the RV Tauri and W Virginis regime is low dimensional is the result of period-doubling or tangent bifurcations (see e.g. Buchler and Kovács 1987, Kovács and Buchler 1988, Tanaka and Takeuti 1988).

The light variation of the RV Tauri star R Scuti covering 150 years was analyzed by Kolláth (1990). A striking similarity was found between the reconstructed attractor of the Rössler 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 behaviour (e.g. Cannizzo and Goodings 1988, Cannizzo et al. 1990). A possible answer for this discrepancy is the treatment of stochastic perturbations by convection (Perdang 1991).

Type
II. Observational Facts
Copyright
Copyright © Kluwer 1993

References

Buchler, J.R. and Kovács, G.: 1987, Astrophysical Journal, Letters to the Editor 320, L270.CrossRefGoogle Scholar
Canizzo, J.K. and Goodings, D.A.: 1988, Astrophysical Journal 334, L31.CrossRefGoogle Scholar
Canizzo, J.K. Goodings, D.A. and Mattei, J.A.: 1990, Astrophysical Journal 357.Google Scholar
Casdagli, M.: 1989, Physica D35, 335.Google Scholar
Gillet, D., Burki, G. and Duquennoy, A.: 1990, Astronomy and Astrophysics 237, 159.Google Scholar
Grassberger, P. and Procaccia, I.: 1983, Physical Review Letters 50, 346.CrossRefGoogle Scholar
Kolláth, Z.: 1990, Monthly Notices of the RAS 247, 377.Google Scholar
Kovács, G. and Buchler, J.R.: 1988, Astrophysical Journal 334, 971.CrossRefGoogle Scholar
Lorenz, E.N.: 1963, J. Atmos. Sci. 20, 130.2.0.CO;2>CrossRefGoogle Scholar
Mitschke, F., Möller, M. and Lange, W.: 1988, Physical Review A: General Physics 37, 4518.CrossRefGoogle Scholar
Perdang, J.: 1991, in ESO Workshop on Rapid Variability of OB-Stars: Nature and Diagnostic Value, ed. Baade, D. (ESO), p. 349.Google Scholar
Rössler, O.E.: 1976, Phys. Lett. 57A, 397.CrossRefGoogle Scholar
Takens, F.: 1980, Dynamic Systems and Turbulence (Warwick, Lecture Notes Math.) 898, 366.Google Scholar
Tanaka, Y. and Takeuti, M.: 1988, Astrophysics and Space Science 148, 229.Google Scholar
Wolf, A., Swift, J.B., Swinney, L. and Vastano, J.A.: 1985, Physica D 16, 285.Google Scholar