18 citations · 35 across the 3 of their papers we have counts for
3 papers
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-…
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…