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The non linear dynamic of the ZZ Ceti variable GD 66

Published online by Cambridge University Press:  03 August 2017

Michel Auvergne ,
Annie Baglin  and
Gérard Vauclair
Michel Auvergne
Affiliation:
Observatoire de Nice B.P. 139 - 06003 Nice Cedex France
Annie Baglin
Affiliation:
Observatoire de Nice B.P. 139 - 06003 Nice Cedex France
Gérard Vauclair
Affiliation:
Observatoire du Pic du Midi et Toulouse 14 Rue E. Belin - 31400 Toulouse France

Abstract

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We present here a new method for analysing stellar variability: a geometrical study of the attractor associated with a variable star. In contrary to Fourier analysis, which focuses on times scales, this approach attemps to define the shape of the attractor in its phase space. It presents the advantage of being almost unsensitive to gaps in the data as long as uninterrupted sequences contain several tens of characteristic times. But, its noise sensitivity calls for very accurate photometry (10−4), still extremely difficult to perform up to now.

A preliminary test has been done on the variable white dwarf GD 66 on data obtained by classical photometry from the ground.

Type
Chapter 5: Seismological Investigations of Compact Stars
Information
Symposium - International Astronomical Union , Volume 123: Advances In Hello- and Asteroseismology , 1988 , pp. 339 - 342
Copyright
Copyright © Reidel 1988 

References

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Takens, F. 1980, in Dynamical systems and Turbulence, Warwick, Lecture Notes in Mathematics 898 (Springer Berlin), pp. 366–381.Google Scholar
Vauclair, G., Bonazzola, S. 1981, Astrophys. J. 246, 947.Google Scholar