Chaos in Hamiltonians with a Cosmological Time Dependence
| dc.creator | Kandrup, Henry E. | |
| dc.date | 1999-03-29 | |
| dc.date.accessioned | 2026-07-07T02:31:01Z | |
| dc.date.available | 2026-07-07T02:31:01Z | |
| dc.description | This paper summarises a numerical investigation of how the usual manifestations of chaos and regularity for flows in time-independent Hamiltonians can be alterred by a systematic time-dependence of the form arising naturally in an expanding Universe. If the time-dependence is not too strong, the observed behaviour can be understood in an adiabatic approximation. One still infers sharp distinctions between regular and chaotic behaviour, even though ``regular'' does not mean ``periodic'' and ``chaotic'' will not in general imply strictly exponential sensitivity towards small changes in initial conditions. However, these distinctions are no longer absolute, as it is possible for a single orbit to change from regular to chaotic and/or visa versa. If the time-dependence becomes too strong, the distinction between regular and chaotic can disappear so that no sensitive dependence on initial conditions is manifest. | |
| dc.description | 9 pages including 7 Figures, uses Phys. Rev macros | |
| dc.identifier | https://arxiv.org/abs/astro-ph/9903434 | |
| dc.identifier | http://arxiv.org/abs/astro-ph/9903434 | |
| dc.identifier | Annals N.Y.Acad.Sci. 867 (1998) 320 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/14022 | |
| dc.subject | Astrophysics | |
| dc.title | Chaos in Hamiltonians with a Cosmological Time Dependence | |
| dc.type | text |