Chaos in FRW Cosmology with Various Types of a Scalar Field Potential

Details Chaos in FRW Cosmology with Various Types of a Scalar Field Potential Chaos in FRW Cosmology with Various Types of a Scalar Field Potential

Dec 2002

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2002nmgm.meet..923t&link_type=abstract

"THE NINTH MARCEL GROSSMANN MEETING On Recent Developments in Theoretical and Experimental General Relativity, Gravitation and R

Physics

Scientific paper

The studies of chaotical dynamics of closed isotropic cosmological model has a long story. They were initiated by papers [1] where the possibility to avoid a singularity at the contraction stage in such a model with a minimally coupled massive scalar field was discovered. Later it was found that this model allows the existence of periodical trajectories [2] and aperiodical infinitely bouncing trajectories having a fractal nature [3]. In [4] the set of periodical trajectories was studied from the viewpoint of dynamical chaos theory. It was proved that the dynamics of a closed universe with a massive scalar field is chaotic and an important invariant of the chaos, the topological entropy, was calculated...

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