8 citations · 8 across the 4 of their papers we have counts for
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A rational galactic potential with accurate periodic orbits and quasi-integrals of motion
Euaggelos E. Zotos
The motion in a simple, time independent rational galactic potential is studied. The potential is a generalization of a two dimensional harmonic oscillator potential and can be con…
Using new dynamical indicators to distinguish between order and chaos in a galactic potential producing exact periodic orbits and chaotic components
Euaggelos E. Zotos
The theory of the inverse problem is used in order to find a two dimensional galactic potential generating a mono-parametric family of elliptic periodic orbits. The potential is ma…
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…
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…