Chaos in classical cosmology (II)
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...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Blanco, S. [verfasserIn] |
|---|
| Format: |
Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
1995 |
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| Schlagwörter: |
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| Anmerkung: |
© Plenum Publishing Corporation 1995 |
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| Übergeordnetes Werk: |
Enthalten in: General relativity and gravitation - Kluwer Academic Publishers-Plenum Publishers, 1970, 27(1995), 12 vom: Dez., Seite 1295-1307 |
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| Übergeordnetes Werk: |
volume:27 ; year:1995 ; number:12 ; month:12 ; pages:1295-1307 |
| Links: |
|---|
| DOI / URN: |
10.1007/BF02153318 |
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| Katalog-ID: |
OLC2113759497 |
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| 520 | |a 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. | ||
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| 700 | 1 | |a Costa, A. |4 aut | |
| 700 | 1 | |a Rosso, O. A. |4 aut | |
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10.1007/BF02153318 doi (DE-627)OLC2113759497 (DE-He213)BF02153318-p DE-627 ger DE-627 rakwb eng 530 VZ 16,12 ssgn Blanco, S. verfasserin aut Chaos in classical cosmology (II) 1995 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Plenum Publishing Corporation 1995 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. Phase Space Time Evolution Computing Time Differential Geometry Space Time Costa, A. aut Rosso, O. A. aut Enthalten in General relativity and gravitation Kluwer Academic Publishers-Plenum Publishers, 1970 27(1995), 12 vom: Dez., Seite 1295-1307 (DE-627)129605735 (DE-600)242130-6 (DE-576)015100022 0001-7701 nnns volume:27 year:1995 number:12 month:12 pages:1295-1307 https://doi.org/10.1007/BF02153318 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY SSG-OLC-AST SSG-OPC-AST GBV_ILN_11 GBV_ILN_20 GBV_ILN_30 GBV_ILN_31 GBV_ILN_40 GBV_ILN_60 GBV_ILN_70 GBV_ILN_2009 GBV_ILN_2409 GBV_ILN_4012 GBV_ILN_4046 GBV_ILN_4306 AR 27 1995 12 12 1295-1307 |
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10.1007/BF02153318 doi (DE-627)OLC2113759497 (DE-He213)BF02153318-p DE-627 ger DE-627 rakwb eng 530 VZ 16,12 ssgn Blanco, S. verfasserin aut Chaos in classical cosmology (II) 1995 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Plenum Publishing Corporation 1995 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. Phase Space Time Evolution Computing Time Differential Geometry Space Time Costa, A. aut Rosso, O. A. aut Enthalten in General relativity and gravitation Kluwer Academic Publishers-Plenum Publishers, 1970 27(1995), 12 vom: Dez., Seite 1295-1307 (DE-627)129605735 (DE-600)242130-6 (DE-576)015100022 0001-7701 nnns volume:27 year:1995 number:12 month:12 pages:1295-1307 https://doi.org/10.1007/BF02153318 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY SSG-OLC-AST SSG-OPC-AST GBV_ILN_11 GBV_ILN_20 GBV_ILN_30 GBV_ILN_31 GBV_ILN_40 GBV_ILN_60 GBV_ILN_70 GBV_ILN_2009 GBV_ILN_2409 GBV_ILN_4012 GBV_ILN_4046 GBV_ILN_4306 AR 27 1995 12 12 1295-1307 |
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10.1007/BF02153318 doi (DE-627)OLC2113759497 (DE-He213)BF02153318-p DE-627 ger DE-627 rakwb eng 530 VZ 16,12 ssgn Blanco, S. verfasserin aut Chaos in classical cosmology (II) 1995 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Plenum Publishing Corporation 1995 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. Phase Space Time Evolution Computing Time Differential Geometry Space Time Costa, A. aut Rosso, O. A. aut Enthalten in General relativity and gravitation Kluwer Academic Publishers-Plenum Publishers, 1970 27(1995), 12 vom: Dez., Seite 1295-1307 (DE-627)129605735 (DE-600)242130-6 (DE-576)015100022 0001-7701 nnns volume:27 year:1995 number:12 month:12 pages:1295-1307 https://doi.org/10.1007/BF02153318 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY SSG-OLC-AST SSG-OPC-AST GBV_ILN_11 GBV_ILN_20 GBV_ILN_30 GBV_ILN_31 GBV_ILN_40 GBV_ILN_60 GBV_ILN_70 GBV_ILN_2009 GBV_ILN_2409 GBV_ILN_4012 GBV_ILN_4046 GBV_ILN_4306 AR 27 1995 12 12 1295-1307 |
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10.1007/BF02153318 doi (DE-627)OLC2113759497 (DE-He213)BF02153318-p DE-627 ger DE-627 rakwb eng 530 VZ 16,12 ssgn Blanco, S. verfasserin aut Chaos in classical cosmology (II) 1995 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Plenum Publishing Corporation 1995 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. Phase Space Time Evolution Computing Time Differential Geometry Space Time Costa, A. aut Rosso, O. A. aut Enthalten in General relativity and gravitation Kluwer Academic Publishers-Plenum Publishers, 1970 27(1995), 12 vom: Dez., Seite 1295-1307 (DE-627)129605735 (DE-600)242130-6 (DE-576)015100022 0001-7701 nnns volume:27 year:1995 number:12 month:12 pages:1295-1307 https://doi.org/10.1007/BF02153318 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY SSG-OLC-AST SSG-OPC-AST GBV_ILN_11 GBV_ILN_20 GBV_ILN_30 GBV_ILN_31 GBV_ILN_40 GBV_ILN_60 GBV_ILN_70 GBV_ILN_2009 GBV_ILN_2409 GBV_ILN_4012 GBV_ILN_4046 GBV_ILN_4306 AR 27 1995 12 12 1295-1307 |
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10.1007/BF02153318 doi (DE-627)OLC2113759497 (DE-He213)BF02153318-p DE-627 ger DE-627 rakwb eng 530 VZ 16,12 ssgn Blanco, S. verfasserin aut Chaos in classical cosmology (II) 1995 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Plenum Publishing Corporation 1995 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. Phase Space Time Evolution Computing Time Differential Geometry Space Time Costa, A. aut Rosso, O. A. aut Enthalten in General relativity and gravitation Kluwer Academic Publishers-Plenum Publishers, 1970 27(1995), 12 vom: Dez., Seite 1295-1307 (DE-627)129605735 (DE-600)242130-6 (DE-576)015100022 0001-7701 nnns volume:27 year:1995 number:12 month:12 pages:1295-1307 https://doi.org/10.1007/BF02153318 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY SSG-OLC-AST SSG-OPC-AST GBV_ILN_11 GBV_ILN_20 GBV_ILN_30 GBV_ILN_31 GBV_ILN_40 GBV_ILN_60 GBV_ILN_70 GBV_ILN_2009 GBV_ILN_2409 GBV_ILN_4012 GBV_ILN_4046 GBV_ILN_4306 AR 27 1995 12 12 1295-1307 |
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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. © Plenum Publishing Corporation 1995 |
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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. © Plenum Publishing Corporation 1995 |
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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. © Plenum Publishing Corporation 1995 |
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Costa, A. Rosso, O. A. |
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| doi_str |
10.1007/BF02153318 |
| up_date |
2024-07-03T21:54:43.933Z |
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