Orbital and equilibrium dynamics of a multiwell potential
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| Título: | Orbital and equilibrium dynamics of a multiwell potential |
|---|---|
| Autor/es: | Alrebdi, H.I. | Navarro, Juan F. | Zotos, Euaggelos E. |
| Grupo/s de investigación o GITE: | Geodesia Espacial y Dinámica Espacial |
| Centro, Departamento o Servicio: | Universidad de Alicante. Departamento de Matemática Aplicada |
| Palabras clave: | Numerical simulations | Hamiltonian systems | Equilibrium points | Escapes |
| Área/s de conocimiento: | Matemática Aplicada |
| Fecha de publicación: | 24-may-2022 |
| Editor: | Elsevier |
| Cita bibliográfica: | Results in Physics. 2022, 38: 105627. https://doi.org/10.1016/j.rinp.2022.105627 |
| Resumen: | We consider a Hamiltonian system associated with the two-well umbilical catastrophe potential D5, while the corresponding potential contains only one free parameter. We determine how this free parameter affects the equilibrium dynamics of the system by computing their coordinates on the configuration plane, along with their linear stability and type. Additionally, we discuss the influence of the same free parameter on the orbital dynamics of the system by performing a systematic and thorough orbit classification that allows us to reveal the bounded or escaping motion of the test particle. |
| Patrocinador/es: | Our current research project has been funded by Princess Nourah bint Abdulrahman University Researchers, Saudi Arabia Supporting Project number (PNURSP2022R106), Princess Nourah bint Abdulrahman University, Riyadh, Saudi Arabia. |
| URI: | http://hdl.handle.net/10045/123976 |
| ISSN: | 2211-3797 |
| DOI: | 10.1016/j.rinp.2022.105627 |
| Idioma: | eng |
| Tipo: | info:eu-repo/semantics/article |
| Derechos: | © 2022 The Author(s). Published by Elsevier B.V. This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/). |
| Revisión científica: | si |
| Versión del editor: | https://doi.org/10.1016/j.rinp.2022.105627 |
| Aparece en las colecciones: | INV - GEDE - Artículos de Revistas |
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| Archivo | Descripción | Tamaño | Formato | |
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 Alrebdi_etal_2022_Results-in-Physics.pdf | 3,39 MB | Adobe PDF | Abrir Vista previa | |
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