Poincarè Chaos and the Dynamical Evolution of Systems of Gravitating Bodies

Details Poincarè Chaos and the Dynamical Evolution of Systems of Gravitating Bodies Poincarè Chaos and the Dynamical Evolution of Systems of Gravitating Bodies

Apr 2002

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2002ap.....45..240c&link_type=abstract

Astrophysics (English translation of Astrofizika), v. 45, Issue 2, p. 240-247 (2002).

Astronomy and Astrophysics

Astrophysics

Cosmology - Chaos - Gravitation - Evolution

Scientific paper

Some general laws of evolution of a system of a large number of gravitating bodies are discussed. If in the initial stage the dynamics of the system is determined by large-scale perturbations of the gravitational potential associated with excitations of a few collective degrees of freedom, then one can assume, by analogy with chaos in the several-body problem (Poincarè chaos), that randomization will occur in the system over several average crossing times. In the next stage of evolution, the energy of collective modes should be transferred by the cascade mechanism to ever smaller scales, down to invididual particles. Numerical experiments and gross-dynamical considerations that could verify this picture and bring out details are discussed.

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