Prescribed energy periodic solutions of Kepler problems with relativistic corrections

DOI10.1007/978-3-031-61337-1_2MaRDI QIDQ6643878

Walter Dambrosio, Guglielmo Feltrin, Alberto Boscaggin

Publication date: 27 November 2024

zbMATH Keywords

periodic solutionsbifurcationnearly integrable Hamiltonian systemsisoenergetic Kam theoryrelativistic Kepler problems

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Special relativity (83A05) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Abstract bifurcation theory involving nonlinear operators (47J15) Equations of motion in general relativity and gravitational theory (83C10) Periodic and almost periodic solutions for problems in Hamiltonian and Lagrangian mechanics (70H12) Nearly integrable Hamiltonian systems, KAM theory (70H08)

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