Low-dimensional chaos in RR Lyrae models

E. Plachy, Z. Kolláth, L. Molnár

Research output: Contribution to journalArticle

16 Citations (Scopus)

Abstract

The recent precise photometric observations and successes of the modelling efforts transformed our picture of the pulsation of RR Lyrae stars. The discovery of additional frequencies and the period doubling phenomenon revealed that a significant interaction may occur between pulsational modes. The signs of irregularities were detected both in observed light curves and hydrodynamic calculations. In this paper, we present the analysis of four peculiar hydrodynamic model solutions. All four solutions were found to be chaotic. The fractal (Lyapunov) dimensions of their attractors were calculated to be 2.2.We also investigated possible resonances between the fundamental mode and the first overtone in the dynamical neighbourhood of these models. The most important is the 6:8 resonance that was also detected in the Kepler observations of RR Lyrae itself. These results reveal that the investigation of chaotic models is important in discovering and understanding resonances in RR Lyrae stars.

Original languageEnglish
Pages (from-to)3590-3596
Number of pages7
JournalMonthly Notices of the Royal Astronomical Society
Volume433
Issue number4
DOIs
Publication statusPublished - Aug 2013

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chaotic dynamics
chaos
hydrodynamics
stars
period doubling
irregularities
light curve
fractals
harmonics
modeling
interactions

Keywords

  • Methods: numerical
  • Stars: oscillations

ASJC Scopus subject areas

  • Space and Planetary Science
  • Astronomy and Astrophysics

Cite this

Low-dimensional chaos in RR Lyrae models. / Plachy, E.; Kolláth, Z.; Molnár, L.

In: Monthly Notices of the Royal Astronomical Society, Vol. 433, No. 4, 08.2013, p. 3590-3596.

Research output: Contribution to journalArticle

Plachy, E. ; Kolláth, Z. ; Molnár, L. / Low-dimensional chaos in RR Lyrae models. In: Monthly Notices of the Royal Astronomical Society. 2013 ; Vol. 433, No. 4. pp. 3590-3596.
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