Bibliographic Details
| Title: |
Variable Star Light Curves in Koopman Space |
| Authors: |
Mekhaël, Nicolas, Pasquato, Mario, Carenini, Gaia, Braga, Vittorio F., Trevisan, Piero, Bono, Giuseppe, Hezaveh, Yashar |
| Publication Year: |
2024 |
| Collection: |
Astrophysics |
| Subject Terms: |
Astrophysics - Solar and Stellar Astrophysics, Astrophysics - Astrophysics of Galaxies, Astrophysics - Instrumentation and Methods for Astrophysics |
| More Details: |
We present the first application of data-driven techniques for dynamical system analysis based on Koopman theory to variable stars. We focus on light curves of RRLyrae type variables, in the Galactic globular cluster $\omega$ Centauri. Light curves are thus summarized by a handful of complex eigenvalues, corresponding to oscillatory or fading dynamical modes. We find that variable stars of the RRc subclass can be summarized in terms of fewer ($\approx 8$) eigenvalues, while RRab need comparatively more ($\approx 12$). This result can be leveraged for classification and reflects the simpler structure of RRc light curves. We then consider variable stars displaying secular variations due to the Tseraskaya-Blazhko effect and find a change in relevant eigenvalues with time, with possible implications for the physical interpretation of the effect.
Comment: Accepted (spotlight) at the Scaling AI for Science workshop at ICML 2024 |
| Document Type: |
Working Paper |
| Access URL: |
http://arxiv.org/abs/2407.16868 |
| Accession Number: |
edsarx.2407.16868 |
| Database: |
arXiv |
