The power spectrum of geodesic divergences as an early detector of chaotic motion
| dc.creator | Vozikis, Ch. L. | |
| dc.creator | Varvoglis, H. | |
| dc.creator | Tsiganis, K. | |
| dc.date | 2000-05-16 | |
| dc.date.accessioned | 2026-07-07T05:32:51Z | |
| dc.date.available | 2026-07-07T05:32:51Z | |
| dc.description | We propose a new method for determining the stochastic or ordered nature of trajectories in non-integrable Hamiltonian dynamical systems. The method consists of constructing a time-series from the divergence of nearby trajectories and then performing a power spectrum analysis of the series. Ordered trajectories present a spectrum that consists of a few spikes while the spectrum of stochastic trajectories is continuous. A test of the method with three different systems, a 2-D mapping as well as a 2-D and a 3-D Hamiltonian, shows that the method is fast and efficient, even in the case of sticky trajectories. The method is also applied to the motion of asteroids in the Solar System. | |
| dc.description | 11 pages, 20 figures, to be published in Astronomy & Astrophysics (A&A) | |
| dc.identifier | https://arxiv.org/abs/nlin/0005031 | |
| dc.identifier | http://arxiv.org/abs/nlin/0005031 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/79803 | |
| dc.subject | Chaotic Dynamics | |
| dc.title | The power spectrum of geodesic divergences as an early detector of chaotic motion | |
| dc.type | text |