Homoclinic phenomena in the gravitational collapse

Details Homoclinic phenomena in the gravitational collapse Homoclinic phenomena in the gravitational collapse

Sep 1984

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1984stin...8631472k&link_type=abstract

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Statistics

Computation

Computational Astrophysics, Cosmology, Gravitational Collapse, Stochastic Processes, Einstein Equations, Oscillations, Singularity (Mathematics)

Scientific paper

A class of Bianchi IX cosmological models is shown to have chaotic gravitational collapse, due to Poincare's homoclinic phenomena. Such models can be programmed so that for any given positive integer N (N=infinity included) the universe undergoes N non-periodic oscillatins (each oscillation requiring a long time) before collapsing. For N=infinity the universe undergoes periodic oscillations.

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