Nonlinear analysis of the light curve of the variable star R scuti

J. R. Buchler, Z. Kolláth, T. Serre, J. Mattei

Research output: Contribution to journalArticle

45 Citations (Scopus)

Abstract

It is first shown that the observational light curve data of R Scuti, a star of the RV Tau type, is not multiperiodic and that it cannot have been generated by a linear stochastic (AR) process. By default, the signal must be a manifestation of deterministic chaos. We use a novel nonlinear time series analysis, the global flow reconstruction technique, to probe the properties of the irregular pulsation cycles. We show in particular that the chaotic dynamics of this star's complicated light curve is captured by a simple four-dimensional polynomial map or flow (four first-order ordinary differential equations). Another important feature is that the method allows us to quantify an irregular signal that has the potential benefit for extracting novel stellar constraints from an irregular light curve. Finally, from the low dimensionality (four) of the flow we can infer a simple physical picture of the pulsations, and arguments are presented that the pulsations of R Set are the result of the nonlinear interaction of two vibrational normal modes of the star.

Original languageEnglish
Pages (from-to)489-501
Number of pages13
JournalAstrophysical Journal
Volume462
Issue number1 PART I
Publication statusPublished - 1996

Fingerprint

variable stars
light curve
chaotic dynamics
stars
time series analysis
stochastic processes
stochasticity
chaos
polynomials
differential equations
probe
cycles
probes
analysis
interactions

Keywords

  • Chaos
  • Methods: data analysis
  • Stars: individual (R Scuti)
  • Stars: oscillations
  • Stars: variables: other (RV Tauri)

ASJC Scopus subject areas

  • Space and Planetary Science
  • Nuclear and High Energy Physics

Cite this

Buchler, J. R., Kolláth, Z., Serre, T., & Mattei, J. (1996). Nonlinear analysis of the light curve of the variable star R scuti. Astrophysical Journal, 462(1 PART I), 489-501.

Nonlinear analysis of the light curve of the variable star R scuti. / Buchler, J. R.; Kolláth, Z.; Serre, T.; Mattei, J.

In: Astrophysical Journal, Vol. 462, No. 1 PART I, 1996, p. 489-501.

Research output: Contribution to journalArticle

Buchler, JR, Kolláth, Z, Serre, T & Mattei, J 1996, 'Nonlinear analysis of the light curve of the variable star R scuti', Astrophysical Journal, vol. 462, no. 1 PART I, pp. 489-501.
Buchler, J. R. ; Kolláth, Z. ; Serre, T. ; Mattei, J. / Nonlinear analysis of the light curve of the variable star R scuti. In: Astrophysical Journal. 1996 ; Vol. 462, No. 1 PART I. pp. 489-501.
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