Chaotic Phenomena in Astrophysics and Cosmology

Details Chaotic Phenomena in Astrophysics and Cosmology Chaotic Phenomena in Astrophysics and Cosmology

2004-10-11

arxiv.org/abs/astro-ph/0410258v1

In "Cosmology and Gravitation", Eds.M.Novello, S.E.P.Bergliaffa, pp.108-124, AIP, New York, 2003

Astronomy and Astrophysics

Astrophysics

Lectures at the Xth Brazilian School of Cosmology and Gravitation, July-August, Rio de Janeiro, 2002

Scientific paper

10.1063/1.1587093

Chaos as typical property of non-linear systems has revealed its crucial role in various problems of astrophysics and cosmology. The problems discussed at these lectures include planetary dynamics, galactic dynamics, reconstruction of the substructure of clusters of galaxies, instability in Wheeler-DeWitt superspace. The choice of the problems aimed to show also the diversity of approaches and mathematical tools, which include the geometric criterion (Ricci) of relative instability in many dimensional systems, the estimation of Kolmogorov-Sinai entropy, the hyperbolicity in pseudo-Riemannian spaces, etc.

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