2 papers
math.DS2018
Splitting of the separatrices after a Hamiltonian-Hopf bifurcation under periodic forcing
E. Fontich, C. Simó, A. Vieiro
We consider the effect of a non-autonomous periodic perturbation on a 2-dof autonomous system obtained as a truncation of the Hamiltonian-Hopf normal form. Our analysis focuses on…
nlin.CD2018
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…