3 papers
math.DS2021
Bifurcation of closed orbits from equilibria of Newtonian systems with Coriolis forces
Anna Gołȩbiewska, Ernesto Pérez-Chavela, Sławomir Rybicki +1
We consider autonomous Newtonian systems with Coriolis forces in two and three dimensions and study the existence of branches of periodic orbits emanating from equilibria. We inves…
math-ph2020
Some simple results about the Lambert problem
Alain Albouy, Antonio J. Urena
We give simple proofs of some simple statements concerning the Lambert problem. We first restate and reprove the known existence and uniqueness results for the Keplerian arc. We al…
math.SG2018
A Poincaré-Birkhoff theorem for Hamiltonian flows on nonconvex domains
Alessandro Fonda, Antonio J. Ureña
We present a higher-dimensional version of the Poincaré-Birkhoff theorem which applies to Poincaré time maps of Hamiltonian systems. The maps under consideration are neither requir…