17 citations · 35 across the 5 of their papers we have counts for
5 papers
Asymptotically Autonomous Maps: Heteroclinic connections, Splitting and Phase-induced tipping
Jesús Dueñas, Arturo Vieiro
We consider discrete-time dynamical systems generated by the iteration of asymptotically autonomous maps, whose asymptotic behavior may be either conservative or dissipative. These…
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…
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…
On local and global aspects of the 1:4 resonance in the conservative cubic Hénon maps
M. Gonchenko, S. V. Gonchenko, I. Ovsyannikov +1
We study the 1:4 resonance for the conservative cubic Hénon maps with positive and negative cubic term. These maps show up different bifurcation structures both fo…
Interpolating vector fields for near identity maps and averaging
Vassili Gelfreich, Arturo Vieiro
For a smooth near identity map, we introduce the notion of an interpolating vector field written in terms of iterates of the map. Our construction is based on Lagrangian interpolat…