12 citations · 25 across the 6 of their papers we have counts for
6 papers
The power spectrum indicator: A new, efficient method for the early detection of chaos
Christos Vozikis, Konstantinos Kleidis, Stavros Papaioannou
To determine the regular or chaotic nature of the orbits in dynamical systems can be quite an issue. In this article, following Vozikis et al. (2000), we propose a new tool, namely…
Relaxation times calculated from angular deflections
E. Athanassoula, Ch. L. Vozikis, J. C. Lambert
In this paper we measure the two-body relaxation time from the angular deflection of test particles launched in a rigid configuration of field particles. We find that centrally con…
The power spectrum of geodesic divergences as an early detector of chaotic motion
Ch. L. Vozikis, H. Varvoglis, K. Tsiganis
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…
Transport in perturbed integrable Hamiltonian systems and the fractality of phase space
H. Varvoglis, Ch. Vozikis, B. Barbanis
We study transport in a model perturbed integrable Hamiltonian system by calculating the volume, V(t), of elementary phase space cells visited by a trajectory, as a function of tim…
Order and chaos in galactic maps
N. D. Caranicolas, Ch. L. Vozikis
We investigate the properties of motion in a map model derived from a galactic Hamiltonian made up of perturbed elliptic oscillators. The phase space portrait is obtained in all th…
Imperfect fractal repellers and irregular families of periodic orbits in a 3-D model potential
B. Barbanis, H. Varvoglis, Ch. L. Vozikis
A model, plane symmetric, 3-D potential, which preserves some features of galactic problems,is used in order to examine the phase space structure through the study of the propertie…