Relative chaos in stellar systems

Details Relative chaos in stellar systems Relative chaos in stellar systems

Jul 1987

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1987ap%26ss.135..307g&link_type=abstract

Astrophysics and Space Science (ISSN 0004-640X), vol. 135, no. 2, July 1987, p. 307-324.

Mathematics

Dynamical Systems

18

Chaos, Stellar Systems, Classifications, Computer Techniques, Dynamical Systems, Statistical Analysis

Scientific paper

Statistical properties of many-dimensional dynamical systems-stellar systems of different types, are investigated by means of new definition of relative chaos based on the estimation of the Ricci curvature in the direction of the velocity of geodesics. Numerical experiment is performed to calculate the Ricci and scalar curvatures for systems with equal total energy. The results of calculations enable one to obtain schematic classification of stellar systems by increasing degree of chaos.

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