Astronomy and Astrophysics – Astrophysics
Scientific paper
Jul 1987
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1987apj...318..232b&link_type=abstract
Astrophysical Journal, Part 1 (ISSN 0004-637X), vol. 318, July 1, 1987, p. 232-247. Research supported by the University of Illi
Astronomy and Astrophysics
Astrophysics
27
Lyra Constellation, Pulsars, Stellar Models, Stellar Oscillations, Variable Stars, Fourier Analysis, Temporal Distribution, Time Dependence
Scientific paper
The numerically produced dynamical evolution of several RR Lyrae models from various initial conditions is subjected to a time-dependent Fourier analysis. This generates the temporal behavior of the amplitudes and phases of the few long-lived transient modes in addition to those of the ultimately surviving mode. It is shown that the amplitude equation formalism of Bucher and Goupil (1985) gives a remarkably good description of the observed behavior of the models. It is concluded (1) that the essence of the dynamical behavior of the model is played in a low-dimensional subspace of phase space, (2) that the nonlinearities in the pulsation are so weak as to involve only the lowest essential nonlinearities, and (3) that the assumptions made by Buchler and Kovacs (1986) in their discussion of the modal selection problem are satisfied.
Buchler Jean-Robert
Kovacs Geza
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