36 citations · 54 across the 3 of their papers we have counts for
3 papers
nlin.CD2018★ 17 cited
Accelerator modes and anomalous diffusion in 3D volume-preserving maps
James D. Meiss, Narcís Miguel, Carles Simó +1
Angle-action maps that are periodic in the action direction can have accelerator modes: orbits that are periodic when projected onto the torus, but that lift to unbounded orbits in…
math.DS2011★ 1 cited
Rigorous KAM results around arbitrary periodic orbits for Hamiltonian Systems
Tomasz Kapela, Carles Simó
We set up a methodology for computer assisted proofs of the existence and the KAM stability of an arbitrary periodic orbit for Hamiltonian systems. We give two examples of applicat…
nlin.CD2009★ 36 cited
Swinging Atwood's Machine: Experimental and Theoretical Studies
Olivier Pujol, José-Philippe Pérez, Jean-Pierre Ramis +3
A Swinging Atwood Machine (SAM) is built and some experimental results concerning its dynamic behaviour are presented. Experiments clearly show that pulleys play a role in the moti…