https://doi.org/10.1140/epjs/s11734-025-01864-w
Regular Article
Near-elliptical symmetric periodic orbits in the Hamiltonian galactic-tidal model
1
Departamento de Matemática, Universidade Federal de Sergipe, Cidade universitária Prof. José Aloísio de Campos, Jardim Rosa Elze, São Cristovão, SE, Brazil
2
Departamento de Matemática, Facultad de Ciencias, Universidad del Bío-Bío, Concepción, VIII Región, Chile
Received:
25
April
2025
Accepted:
17
August
2025
Published online:
27
August
2025
The aim of the present work is to show the existence of near-elliptical symmetric periodic solutions of a class of perturbed generalized galactic-Tidal models. Combining the discrete symmetries of the Hamiltonian and the Poincaré’s continuation method, we give sufficient conditions on the parameters of the problem for the existence of symmetric periodic solutions. We also provide information on the linear stability of the periodic solutions.
Mathematics Subject Classification: 34C14 / 34C20 / 34C25 / 37J40 / 70F15
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© The Author(s), under exclusive licence to EDP Sciences, Springer-Verlag GmbH Germany, part of Springer Nature 2025
Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
