2000/05/16 by Ch. L. Vozikis, Vozikis, Ch. L., H. Varvoglis +3
Computer Science · Mathematics · Physics and Astronomy · #Advanced Mathematical Theories and Applications #Chaotic Dynamics (nlin.CD) #FOS: Physical sciences #Image Processing and 3D Reconstruction #Morphological variations and asymmetry #nlin.CD
paper · pdf · doi:10.48550/arxiv.nlin/0005031
11 pages, 20 figures, to be published in Astronomy & Astrophysics (A&A)
arxiv created 2000/05/16 · openalex publication_date 2000/05/16 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.