Chaos in classical cosmology (II)

Details Chaos in classical cosmology (II) Chaos in classical cosmology (II)

Dec 1995

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1995gregr..27.1295b&link_type=abstract

General Relativity and Gravitation, Volume 27, Issue 12, pp.1295-1307

Computer Science

13

Scientific paper

We present a new dynamical calculation about the Friedman-Robertson-Walker universe considered as an autonomous Hamiltonian. The time evolution of this Hamiltonian presents numerical instabilities so we apply a symplectic integration via infinitesimal canonical transformations of the phase space time evolution that preserves the Poincaré invariant. In this way, we have also obtained a sensitive improvement in the accuracy of the Hamiltonian constraint, as well as in the computing time. We confirm our previous results; in a spatially closed universe, the route to chaos is reached by sucessive breakage of the resonant tori due to the action of 1∶1 resonances.

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