Periodic Solutions to a Perturbed Relativistic Kepler Problem

DOI10.1137/20M1333547zbMath1489.34064arXiv2003.03110OpenAlexW3205570633MaRDI QIDQ5158388

Alberto Boscaggin, Guglielmo Feltrin, Walter Dambrosio

Publication date: 22 October 2021

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2003.03110

zbMATH Keywords

periodic solutionsinvariant toriaction-angle coordinatesnearly integrable Hamiltonian systemsrelativistic Kepler problem

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Bifurcation theory for ordinary differential equations (34C23) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Invariant manifolds for ordinary differential equations (34C45) Periodic and almost periodic solutions for problems in Hamiltonian and Lagrangian mechanics (70H12) Nearly integrable Hamiltonian systems, KAM theory (70H08)

Related Items (4)

A Maupertuis-type principle in relativistic mechanics and applications ⋮ Interactions in the Lorentz force equation ⋮ Infinitely many periodic solutions to a Lorentz force equation with singular electromagnetic potential ⋮ Relativistic type systems with parametric odd nonlinearities

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