39 citations · 236 across the 17 of their papers we have counts for
6 papers · 1 filter
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…
Equilibrium points and basins of convergence in the triangular restricted four-body problem with a radiating body
J. E. Osorio-Vargas, Guillermo A. González, F. L. Dubeibe
The dynamics of the four-body problem have attracted increasing attention in recent years. In this paper, we extend the basic equilateral four-body problem by introducing the effec…
Basins of convergence of equilibrium points in the generalized Henon-Heiles system
Euaggelos E. Zotos, A. Riaño-Doncel, F. L. Dubeibe
We numerically explore the Newton-Raphson basins of convergence, related to the libration points (which act as attractors of the convergence process), in the generalized Hénon-Heil…
Dynamical analysis of bounded and unbounded orbits in a generalized Hénon-Heiles system
F. L. Dubeibe, A. Riaño-Doncel, Euaggelos E. Zotos
The Hénon-Heiles potential was first proposed as a simplified version of the gravitational potential experimented by a star in the presence of a galactic center. Currently, this sy…
Optimal conditions for the numerical calculation of the largest Lyapunov exponent for systems of ordinary differential equations
F. L. Dubeibe, L. D. Bermudez-Almanza
A general indicator of the presence of chaos in a dynamical system is the largest Lyapunov exponent. This quantity provides a measure of the mean exponential rate of divergence of…
Pumping angular momentum by driven chaotic scattering
T. Dittrich, F. L. Dubeibe
Chaotic scattering with an internal degree of freedom and the possibility to generate directed transport of angular momentum is studied in a specific model, a magnetic dipole movin…