Abstract:
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.
Registro:
Documento: |
Artículo
|
Título: | Chaos in classical cosmology (II) |
Autor: | Blanco, S.; Costa, A.; Rosso, O.A. |
Filiación: | Departamento de Física, FCEyN, Universidad de Buenos Aires, Pabellón I, Ciudad Universitaria, Buenos Aires, 1428, Argentina Instituto de Astronomía y Física del Espacio, C.C. 67 Suc. 28, Buenos Aires, 1428, Argentina Instituto de Cálculo, FCEyN, Universidad de Buenos Aires, Pabellón II, Ciudad Universitaria, Buenos Aires, 1428, Argentina
|
Año: | 1995
|
Volumen: | 27
|
Número: | 12
|
Página de inicio: | 1295
|
Página de fin: | 1307
|
DOI: |
http://dx.doi.org/10.1007/BF02153318 |
Título revista: | General Relativity and Gravitation
|
Título revista abreviado: | Gen Relat Gravit
|
ISSN: | 00017701
|
Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00017701_v27_n12_p1295_Blanco |
Referencias:
- Barrow, J.D., (1982) Phys. Rep., 85, p. 1
- Kolb, E., Turner, M.S., (1988) The Early Universe, , Addison-Wesley, New York
- Belinsky, V.A., Grishchuk, L.P., Khalatnikov, I.M., Zel'dovich, (1985) Phys. Lett., 155 B, p. 232
- Amendola, L., Litterio, M., Occhionero, F., THE PHASE-SPACE VIEW OF INFLATION I: THE NON-MINIMALLY COUPLED SCALAR FIELD (1990) International Journal of Modern Physics A, 5, p. 3861
- Calzetta, E., El Hasi, C., (1993) Class. Quant. Grav., 10, p. 1825
- Calzetta, E., El Hasi, C., (1995) Phys. Rev., 51 E, p. 2713
- Blanco, S., Domenech, G., El Hasi, C., Rosso, O.A., (1994) Gen. Rel. Grav., 26, p. 1131
- Arnold, V.I., (1989) Mathematical Methods of Classical Mechanics, , 2nd. ed., Springer-Verlag, New York
- Goldstein, H., (1980) Classical Mechanics, , 2nd. ed., Addison-Wesley, New York
- Miller, R.H., (1993) J. Comp. Phys., 93, p. 469
- Misner, C.W., Thorne, K.S., Wheeler, J.A., (1973) Gravitation, , W. H. Freeman, San Francisco
- Gutzwiller, M.C., (1990) Chaos in Classical and Quantum Mechanics, , Springer-Verlag, Berlin
- Tabor, M., (1989) Chaos and Integrability in Nonlinear Dynamic, , Wiley, New York
- Stolovistzky, G., Hernando, J.A., Resonant structure of integrable and near-integrable two-dimensional systems (1990) Physical Review A, 41 A, p. 3026
- Channell, P.J., Scovel, C., (1990) Nonlinearity, 3, p. 231
Citas:
---------- APA ----------
Blanco, S., Costa, A. & Rosso, O.A.
(1995)
. Chaos in classical cosmology (II). General Relativity and Gravitation, 27(12), 1295-1307.
http://dx.doi.org/10.1007/BF02153318---------- CHICAGO ----------
Blanco, S., Costa, A., Rosso, O.A.
"Chaos in classical cosmology (II)"
. General Relativity and Gravitation 27, no. 12
(1995) : 1295-1307.
http://dx.doi.org/10.1007/BF02153318---------- MLA ----------
Blanco, S., Costa, A., Rosso, O.A.
"Chaos in classical cosmology (II)"
. General Relativity and Gravitation, vol. 27, no. 12, 1995, pp. 1295-1307.
http://dx.doi.org/10.1007/BF02153318---------- VANCOUVER ----------
Blanco, S., Costa, A., Rosso, O.A. Chaos in classical cosmology (II). Gen Relat Gravit. 1995;27(12):1295-1307.
http://dx.doi.org/10.1007/BF02153318