14 citations · 15 across the 3 of their papers we have counts for
7 papers
Arnold diffusion and Nekhoroshev theory
Christos Efthymiopoulos, Rocio Isabel Paez
Starting with Arnold's pioneering work, the term "Arnold diffusion" has been used to describe the slow diffusion taking place in the space of the actions in Hamiltonian nonlinear d…
Transits close to the Lagrangian solutions in the Elliptic Restricted Three-body Problem
Rocío Isabel Páez, Massimiliano Guzzo
In the last decades a peculiar family of solutions of the Circular Restricted Three Body Problem has been used to explain the temporary captures of small bodies and spacecrafts by…
A study of temporary captures and collisions in the Circular Restricted Three-Body Problem with normalizations of the Levi-Civita Hamiltonian
Rocio Isabel Paez, Massimiliano Guzzo
The dynamics near the Lagrange equilibria and of the Circular Restricted Three-body Problem has gained attention in the last decades due to its relevance in some topics…
Manifold spirals, disc-halo interactions and the secular evolution in N-body models of barred galaxies
C. Efthymiopoulos, P. E. Kyziropoulos, R. I. Paez +2
The manifold theory of barred-spiral structure provides a dynamical mechanism explaining how spiral arms beyond the ends of galactic bars can be supported by chaotic flows extendin…
Semi-analytic computations of the speed of Arnold diffusion along single resonances in a priori stable Hamiltonian systems
Massimiliano Guzzo, Christos Efthymiopoulos, Rocio Isabel Paez
Cornerstone models of Physics, from the semi-classical mechanics in atomic and molecular physics to planetary systems, are represented by quasi-integrable Hamiltonian systems. Sinc…
New normal form approaches adapted to the Trojan problem
Rocio Isabel Paez
The main subject of this work is the study of the problem of the Trojan orbits from a perturbative Hamiltonian perspective. We face this problem by introducing first a novel Hamilt…