79 citations · 1.5k across the 112 of their papers we have counts for
21 papers · 1 filter
Are semi-numerical methods an effective tool for locating periodic orbits in 3D potentials?
Euaggelos E. Zotos, Nicolaos D. Caranicolas
A semi-numerical method is used in order to locate the position and calculate the period of periodic orbits in a 3D composite bisymmetrical potential, in a number of resonant cases…
Transition between order and chaos in a composite disk galaxy model with a massive nucleus and a dark matter halo
Nicolaos D. Caranicolas, Euaggelos E. Zotos
We investigate the transition from regular to chaotic motion in a composite galaxy model with a disk-halo, a massive dense nucleus and a dark halo component. We obtain relationship…
The Fast Norm Vector Indicator (FNVI) method: A new dynamical parameter for detecting order and chaos in Hamiltonian systems
Euaggelos E. Zotos
In the present article, we introduce and also deploy a new, simple, very fast and efficient method, the Fast Norm Vector Indicator (FNVI) in order to distinguish rapidly and with c…
A new dynamical indicator for chaos detection in galactic Hamiltonian systems
Euaggelos E. Zotos
A new dynamical parameter, the f-indicator, is introduced and used in order to distinguish between regular and chaotic motion in galactic Hamiltonian systems. Two kinds of galactic…
Application of new dynamical spectra of orbits in Hamiltonian systems
Euaggelos E. Zotos
In the present article, we investigate the properties of motion in Hamiltonian systems of two and three degrees of freedom, using the distribution of the values of two new dynamica…
Investigating the nature of motion in 3D perturbed elliptic oscillators displaying exact periodic orbits
Nicolaos D. Caranicolas, Euaggelos E. Zotos
We study the nature of motion in a 3D potential composed of perturbed elliptic oscillators. Our technique is to use the results obtained from the 2D potential in order to find the…