Singular value analysis applied to phase space reconstruction of pulsating stars

Details Singular value analysis applied to phase space reconstruction of pulsating stars Singular value analysis applied to phase space reconstruction of pulsating stars

Oct 1988

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1988a%26a...204..341a&link_type=abstract

Astronomy and Astrophysics (ISSN 0004-6361), vol. 204, no. 1-2, Oct. 1988, p. 341-348.

Statistics

Computation

7

Computational Astrophysics, Karhunen-Loeve Expansion, Stellar Oscillations, Time Series Analysis, Variable Stars, Eigenvectors, Matrices (Mathematics), Singularity (Mathematics), White Dwarf Stars

Scientific paper

A new insight on stellar variability can be obtained with the method of phase space reconstruction. The attractor of a dynamical system, known through an observable (for instance the light curve), can be reconstructed using the time delay method which is a practical implementation of the embedding theorems. A singular value analysis is applied to this process and is illustrated by several examples coming from the theory of dynamical system and photometric data of a pulsating white dwarf.

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