Revealing the Chaos in Astrophysical Problems

Mathematics – Logic

Scientific paper

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Scientific paper

The typical chaotic properties of nonlinear systems of astrophysical and cosmological interest are discussed. Three methods of studying of chaos in dynamical systems are described: Lyapunov numbers, Ricci curvature and iterated maps. Each method is illustrated by various problems, from the stability of the solar system to the properties of the large-scale structure of the Universe. Kolmogorov-Sinai entropy for the N-body system is calculated.

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