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- Aristotle University of ThessalonikiGR9 papers
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7 papers · 1 filter
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…
Orbital dynamics in the photogravitational restricted four-body problem: Lagrange configuration
J. E. Osorio-Vargas, F. L. Dubeibe, Guillermo A. González
We study the effect of the radiation parameter in the location, stability and orbital dynamics in the Lagrange configuration of the restricted four-body problem when one of the pri…
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…