Analysis of the escape in systems with four exit channels
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Título: | Analysis of the escape in systems with four exit channels |
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Autor/es: | Navarro, Juan F. | Belgharbi, Ibrahim | Martínez-Belda, María del Carmen |
Grupo/s de investigación o GITE: | Geodesia Espacial y Dinámica Espacial |
Centro, Departamento o Servicio: | Universidad de Alicante. Departamento de Matemática Aplicada |
Palabras clave: | Escape | Four-body ring problem | Galactic potentials | Hamiltonian systems | Periodic orbits |
Área/s de conocimiento: | Matemática Aplicada |
Fecha de publicación: | 10-jul-2022 |
Editor: | John Wiley & Sons |
Cita bibliográfica: | Mathematical Methods in the Applied Sciences. 2023, 46(1): 1032-1044. https://doi.org/10.1002/mma.8564 |
Resumen: | In this paper, we have performed a numerical investigation of the escape of a particle from two different dynamical systems with the same number of exit channels. We have chosen specific values of the parameters of the systems so that the openings of the potential well in both systems are approximately of the same size. We have found that, in the galactic system, the distribution of the times of escape follows a sequential pattern that has never been detected before. Moreover, we have proved that this pattern is directly related to the geometry of the stable manifolds to the Lyapunov orbits located at the openings of the potential. Finally, we have shown that the different nature of the two systems affects the way the escape occurs, due to the difference in the geometry of the manifolds to the Lyapunov orbits in both systems. |
URI: | http://hdl.handle.net/10045/125000 |
ISSN: | 0170-4214 (Print) | 1099-1476 (Online) |
DOI: | 10.1002/mma.8564 |
Idioma: | eng |
Tipo: | info:eu-repo/semantics/article |
Derechos: | © 2022 The Authors. Mathematical Methods in the Applied Sciences published by John Wiley & Sons, Ltd. This is an open access article under the terms of the Creative Commons Attribution-NonCommercial-NoDerivs License, which permits use and distribution in any medium, provided the original work is properly cited, the use is non-commercial and no modifications or adaptations are made. |
Revisión científica: | si |
Versión del editor: | https://doi.org/10.1002/mma.8564 |
Aparece en las colecciones: | INV - GEDE - Artículos de Revistas |
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