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 language | English |
|---|---|
| Pages (from-to) | 489-501 |
| Number of pages | 13 |
| Journal | Astrophysical Journal |
| Volume | 462 |
| Issue number | 1 PART I |
| Publication status | Published - 1996 |
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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
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 journal › Article
}
TY - JOUR
T1 - Nonlinear analysis of the light curve of the variable star R scuti
AU - Buchler, J. R.
AU - Kolláth, Z.
AU - Serre, T.
AU - Mattei, J.
PY - 1996
Y1 - 1996
N2 - 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.
AB - 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.
KW - Chaos
KW - Methods: data analysis
KW - Stars: individual (R Scuti)
KW - Stars: oscillations
KW - Stars: variables: other (RV Tauri)
UR - http://www.scopus.com/inward/record.url?scp=23544440523&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=23544440523&partnerID=8YFLogxK
M3 - Article
AN - SCOPUS:23544440523
VL - 462
SP - 489
EP - 501
JO - Astrophysical Journal
JF - Astrophysical Journal
SN - 0004-637X
IS - 1 PART I
ER -