Chaos in classical cosmology (II)
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 tim...
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todo:paper_00017701_v27_n12_p1295_Blanco2023-10-03T13:52:02Z Chaos in classical cosmology (II) Blanco, S. Costa, A. Rosso, O.A. 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. © 1995 Plenum Publishing Corporation. Fil:Blanco, S. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_00017701_v27_n12_p1295_Blanco |
institution |
Universidad de Buenos Aires |
institution_str |
I-28 |
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R-134 |
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Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) |
description |
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. © 1995 Plenum Publishing Corporation. |
format |
JOUR |
author |
Blanco, S. Costa, A. Rosso, O.A. |
spellingShingle |
Blanco, S. Costa, A. Rosso, O.A. Chaos in classical cosmology (II) |
author_facet |
Blanco, S. Costa, A. Rosso, O.A. |
author_sort |
Blanco, S. |
title |
Chaos in classical cosmology (II) |
title_short |
Chaos in classical cosmology (II) |
title_full |
Chaos in classical cosmology (II) |
title_fullStr |
Chaos in classical cosmology (II) |
title_full_unstemmed |
Chaos in classical cosmology (II) |
title_sort |
chaos in classical cosmology (ii) |
url |
http://hdl.handle.net/20.500.12110/paper_00017701_v27_n12_p1295_Blanco |
work_keys_str_mv |
AT blancos chaosinclassicalcosmologyii AT costaa chaosinclassicalcosmologyii AT rossooa chaosinclassicalcosmologyii |
_version_ |
1782028317857153024 |