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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Autores principales: Blanco, S., Costa, A., Rosso, O.A.
Formato: JOUR
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_00017701_v27_n12_p1295_Blanco
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Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id todo:paper_00017701_v27_n12_p1295_Blanco
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spelling 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
repository_str R-134
collection 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
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