11 citations · 48 across the 18 of their papers we have counts for
7 papers · 1 filter
Reparametrizing the relativistic Kepler equation: a bridge to Levi-Civita-type models
Alberto Boscaggin, Walter Dambrosio
We establish a link between different relativistic variants of the Kepler problem. In particular, we show that solutions of the special relativistic model with fixed energy can be…
Bifurcation of closed orbits of Hamiltonian systems with application to geodesics of the Schwarzschild metric
Alberto Boscaggin, Walter Dambrosio, Guglielmo Feltrin
We investigate bifurcation of closed orbits with a fixed energy level for a class of nearly integrable Hamiltonian systems with two degrees of freedom. More precisely, we make a jo…
Prescribed energy periodic solutions of Kepler problems with relativistic corrections
Alberto Boscaggin, Walter Dambrosio, Guglielmo Feltrin
We consider two different relativistic versions of the Kepler problem in the plane: the first one involves the relativistic differential operator, the second one involves a correct…
Periodic perturbations of central force problems and an application to a restricted -body problem
Alberto Boscaggin, Walter Dambrosio, Guglielmo Feltrin
We consider a perturbation of a central force problem of the form \begin{equation*} \ddot x = V'(|x|) \frac{x}{|x|} + \varepsilon \,\nabla_x U(t,x), \quad x \in \mathbb{R}^{2} \set…
Unbounded solutions to a system of coupled asymmetric oscillators at resonance
Alberto Boscaggin, Walter Dambrosio, Duccio Papini
We deal with the following system of coupled asymmetric oscillators \[ \begin{cases} \ddot{x}_1+a_1x_1^+-b_1x^-_1+ϕ_1(x_2)=p_1(t) \\ \ddot{x}_2+a_2\,x_2^+-b_2\,x^-_2+ϕ_2(x_1)=p_2(t…
Periodic solutions to a perturbed relativistic Kepler problem
Alberto Boscaggin, Walter Dambrosio, Guglielmo Feltrin
We consider a perturbed relativistic Kepler problem \begin{equation*} \dfrac{\mathrm{d}}{\mathrm{d}t}\left(\dfrac{m\dot{x}}{\sqrt{1-|\dot{x}|^2/c^2}}\right)=-α\, \dfrac{x}{|x|^3}+\…
Periodic solutions to a forced Kepler problem in the plane
A. Boscaggin, W. Dambrosio, D. Papini
Given a smooth function , -periodic in the first variable and satisfying for some as , we…