Variable Star Light Curves in Koopman Space

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

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Items	– Name: Title Label: Title Group: Ti Data: Variable Star Light Curves in Koopman Space – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Mekhaël%2C+Nicolas%22">Mekhaël, Nicolas</searchLink><br /><searchLink fieldCode="AR" term="%22Pasquato%2C+Mario%22">Pasquato, Mario</searchLink><br /><searchLink fieldCode="AR" term="%22Carenini%2C+Gaia%22">Carenini, Gaia</searchLink><br /><searchLink fieldCode="AR" term="%22Braga%2C+Vittorio+F%2E%22">Braga, Vittorio F.</searchLink><br /><searchLink fieldCode="AR" term="%22Trevisan%2C+Piero%22">Trevisan, Piero</searchLink><br /><searchLink fieldCode="AR" term="%22Bono%2C+Giuseppe%22">Bono, Giuseppe</searchLink><br /><searchLink fieldCode="AR" term="%22Hezaveh%2C+Yashar%22">Hezaveh, Yashar</searchLink> – Name: DatePubCY Label: Publication Year Group: Date Data: 2024 – Name: Subset Label: Collection Group: HoldingsInfo Data: Astrophysics – Name: Subject Label: Subject Terms Group: Su Data: <searchLink fieldCode="DE" term="%22Astrophysics+-+Solar+and+Stellar+Astrophysics%22">Astrophysics - Solar and Stellar Astrophysics</searchLink><br /><searchLink fieldCode="DE" term="%22Astrophysics+-+Astrophysics+of+Galaxies%22">Astrophysics - Astrophysics of Galaxies</searchLink><br /><searchLink fieldCode="DE" term="%22Astrophysics+-+Instrumentation+and+Methods+for+Astrophysics%22">Astrophysics - Instrumentation and Methods for Astrophysics</searchLink> – Name: Abstract Label: Description Group: Ab Data: 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.<br />Comment: Accepted (spotlight) at the Scaling AI for Science workshop at ICML 2024 – Name: TypeDocument Label: Document Type Group: TypDoc Data: Working Paper – Name: URL Label: Access URL Group: URL Data: <link linkTarget="URL" linkTerm="http://arxiv.org/abs/2407.16868" linkWindow="_blank">http://arxiv.org/abs/2407.16868</link> – Name: AN Label: Accession Number Group: ID Data: edsarx.2407.16868
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RecordInfo	BibRecord: BibEntity: Subjects: – SubjectFull: Astrophysics - Solar and Stellar Astrophysics Type: general – SubjectFull: Astrophysics - Astrophysics of Galaxies Type: general – SubjectFull: Astrophysics - Instrumentation and Methods for Astrophysics Type: general Titles: – TitleFull: Variable Star Light Curves in Koopman Space Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Mekhaël, Nicolas – PersonEntity: Name: NameFull: Pasquato, Mario – PersonEntity: Name: NameFull: Carenini, Gaia – PersonEntity: Name: NameFull: Braga, Vittorio F. – PersonEntity: Name: NameFull: Trevisan, Piero – PersonEntity: Name: NameFull: Bono, Giuseppe – PersonEntity: Name: NameFull: Hezaveh, Yashar IsPartOfRelationships: – BibEntity: Dates: – D: 23 M: 07 Type: published Y: 2024
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