English

Fractals and Symbolic Dynamics as Invariant Descriptors of Chaos in General Relativity

General Relativity and Quantum Cosmology 2009-09-25 v1

Abstract

The study of dynamics in general relativity has been hampered by a lack of coordinate independent measures of chaos. Here I review a variety of invariant measures for quantifying chaotic dynamics in relativity that exploit the coordinate independence of fractal dimensions and symbolic entropies.

Keywords

Cite

@article{arxiv.gr-qc/9709036,
  title  = {Fractals and Symbolic Dynamics as Invariant Descriptors of Chaos in General Relativity},
  author = {Neil J. Cornish},
  journal= {arXiv preprint arXiv:gr-qc/9709036},
  year   = {2009}
}

Comments

3 pages, 4 figures. To appear in the proceedings of the Eighth Marcel Grossmann Meeting, Jerusalem, June 1997 (WSP)