In this paper we present a set of generic results on Hamiltonian non-linear dynamics. We show the necessary conditions for a Hamiltonian system to present a non-twist scenario and from that we introduce the isochronous ...

We consider the two nonconcentric circles billiard, with the inner circle as a refringent medium, in order to study the classical dynamics of a light ray. The eccentricity controls the chaotic sea intensity and the refraction ...

We introduce the labyrinthic standard non-twist map, which is a modified non-twist standard map with an additional perturbation which is a period multiple of the original perturbation period. In phase space this map can ...

We present a new kind of one-dimensional attractor, which has not yet been predicted in the non-linear dynamics theory. We consider a non-linear map, which presents typical non-twist manifestations, as isochronous resonances ...

We introduce the labyrinthic standard non-twist map, which is a modified non-twist standard map with an additional perturbation which is a period multiple of the original perturbation period. In phase space this map can ...