Abstract:
We study the dynamics of a Friedmann-Robertson-Walker universe conformally coupled to a real, self-interacting, massive scalar field. We apply a full set of tools corresponding to dynamical system theory: fixed points, linear stability analysis, resonances study and numerical evaluation of Poincaré sections of the dynamical flux. We can conclude that the chaotic behaviour is possible in the very early universe. In the case of a spatially closed universe we show that the route to chaos is reached by successive breaking of the resonant tori due to the action of 1:1 resonances. © 1994 Plenum Publishing Corporation.
Registro:
Documento: |
Artículo
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Título: | Chaos in classical cosmology |
Autor: | Blanco, S.; Domenech, G.; Hasi, C.E.; 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
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Año: | 1994
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Volumen: | 26
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Número: | 11
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Página de inicio: | 1131
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Página de fin: | 1143
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DOI: |
http://dx.doi.org/10.1007/BF02108938 |
Título revista: | General Relativity and Gravitation
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Título revista abreviado: | Gen Relat Gravit
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ISSN: | 00017701
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Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00017701_v26_n11_p1131_Blanco |
Referencias:
- Barrow, J.D., (1982) Phys. Rep., 85, p. 1
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- 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 A, p. 3861
- Calzetta, E., El Hasi, C., (1993) Class. Quant. Grav., 10, p. 1825
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- 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, , John Wiley & Sons, New York
- Schuster, H.G., (1984) Deterministic Chaos, , Physik-Verlag, Berlin
- Stolovistzky, G., Hernando, J.A., Resonant structure of integrable and near-integrable two-dimensional systems (1990) Physical Review A, 41 A, p. 3026
- Press, W.H., Teukolsky, S.A., Vetterling, W.T., Flannery, B.P., (1992) Numerical Recipes in Fortran, , 2nd ed., Cambridge University Press, Cambridge
- Channell, P.J., Scovel, C., (1990) Nonlinearity, 3, p. 231
Citas:
---------- APA ----------
Blanco, S., Domenech, G., Hasi, C.E. & Rosso, O.A.
(1994)
. Chaos in classical cosmology. General Relativity and Gravitation, 26(11), 1131-1143.
http://dx.doi.org/10.1007/BF02108938---------- CHICAGO ----------
Blanco, S., Domenech, G., Hasi, C.E., Rosso, O.A.
"Chaos in classical cosmology"
. General Relativity and Gravitation 26, no. 11
(1994) : 1131-1143.
http://dx.doi.org/10.1007/BF02108938---------- MLA ----------
Blanco, S., Domenech, G., Hasi, C.E., Rosso, O.A.
"Chaos in classical cosmology"
. General Relativity and Gravitation, vol. 26, no. 11, 1994, pp. 1131-1143.
http://dx.doi.org/10.1007/BF02108938---------- VANCOUVER ----------
Blanco, S., Domenech, G., Hasi, C.E., Rosso, O.A. Chaos in classical cosmology. Gen Relat Gravit. 1994;26(11):1131-1143.
http://dx.doi.org/10.1007/BF02108938