English

Stellar Arrhythmias

chao-dyn 2008-02-03 v1 Astrophysics Chaotic Dynamics

Abstract

The light curves of the two large amplitude variable stars, R Scuti and AC Herculis, display irregular pulsation cycles with 'periods' of 75 and 35 days, respectively. We review the evidence that the observed time-series are generated by low dimensional chaotic dynamics. In particular, a global flow reconstruction technique indicates that the minimum embedding dimensions are 4 and 3 for R Sct and AC Her, respectively, whereas the fractal dimensions are inferred to be approximately 3.1 and 2.05 - 2.45, respectively. It thus appears that the dimensions of the dynamics themselves are also 4 and 3.

Keywords

Cite

@article{arxiv.chao-dyn/9708009,
  title  = {Stellar Arrhythmias},
  author = {J. Robert Buchler},
  journal= {arXiv preprint arXiv:chao-dyn/9708009},
  year   = {2008}
}

Comments

Proceedings of the 4th Experimental Chaos Conference, Boca Raton, FL, August 1997, to be published by World Scientific