79 citations · 1.5k across the 112 of their papers we have counts for
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Fractal basins of convergence of a seventh-order generalized Hénon-Heiles potential
E. E. Zotos, F. L. Dubeibe, A. Riaño-Doncel
This article aims to investigate the points of equilibrium and the associated convergence basins in a seventh-order generalized Hénon-Heiles potential. Using the well-known Newton-…
On the dynamics of a seventh-order generalized Hénon-Heiles potential
F. L. Dubeibe, Euaggelos E. Zotos, Wei Chen
This paper deals with the derivation and analysis of a seventh-order generalization of the Hénon-Heiles potential. The new potential has axial and reflection symmetries, and finite…
Measuring the transition between nonhyperbolic and hyperbolic regimes in open Hamiltonian systems
Alexandre R. Nieto, Euaggelos E. Zotos, Jesús M. Seoane +1
We show that the presence of KAM islands in nonhyperbolic chaotic scattering has deep implications on the unpredictability of open Hamiltonian systems. When the energy of the syste…
Numerical investigation on the Hill's type lunar problem with homogeneous potential
Yanxia Deng, Slim Ibrahim, Euaggelos E. Zotos
We consider the planar Hill's lunar problem with a homogeneous gravitational potential. The investigation of the system is twofold. First, the starting conditions of the trajectori…
Escaping from a degenerate version of the four hill potential
Euaggelos E. Zotos, Wei Chen, Christof Jung
We examine the escape from the four hill potential by using the method of grid classification, when polar coordinates are used for expressing the initial conditions of the orbits.…
On the fractal basins of convergence of the libration points in the axisymmetric five-body problem: the convex configuration
Md Sanam Suraj, Prachi Sachan, Euaggelos E. Zotos +2
In the present work, the Newton-Raphson basins of convergence, corresponding to the coplanar libration points (which act as numerical attractors), are unveiled in the axisymmetric…