46 citations · 51 across the 3 of their papers we have counts for
3 papers
Arnold diffusion for an a priori unstable Hamiltonian system with 3 1/2 degrees of freedom
Amadeu Delshams, Albert Granados, Rodrigo G. Schaefer
In the present paper we apply the geometrical mechanism of diffusion in an \emph{a priori} unstable Hamiltonian system with 3 1/2 degrees of freedom. This mechanism consists of…
Mixed dynamics of 2-dimensional reversible maps with a symmetric couple of quadratic homoclinic tangencies
A. Delshams, M. S. Gonchenko, S. V. Gonchenko +1
We study dynamics and bifurcations of 2-dimensional reversible maps having a symmetric saddle fixed point with an asymmetric pair of nontransversal homoclinic orbits (a symmetric n…
Abundance of attracting, repelling and elliptic periodic orbits in two-dimensional reversible maps
A. Delshams, S. V. Gonchenko, V. S. Gonchenko +2
We study dynamics and bifurcations of two-dimensional reversible maps having non-transversal heteroclinic cycles containing symmetric saddle periodic points. We consider one-parame…