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: | , , |
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| Formato: | JOUR |
| Acceso en línea: | http://hdl.handle.net/20.500.12110/paper_00017701_v27_n12_p1295_Blanco |
| Aporte de: |
| Sumario: | 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. |
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