8 citations · 9 across the 3 of their papers we have counts for
3 papers
math.DS2022
Arnold diffusion in Hamiltonian systems on infinite lattices
Filippo Giuliani, Marcel Guardia
We consider a system of infinitely many penduli on an -dimensional lattice with a weak coupling. For any prescribed path in the lattice, for suitable couplings, we construct orb…
math.DS2014★ 8 cited
Orbits of nearly integrable systems accumulating to KAM tori
Marcel Guardia, Vadim Kaloshin
Consider a sufficiently smooth nearly integrable Hamiltonian system of two and a half degrees of freedom in action-angle coordinates \[ H_ε(φ,I,t)=H_0(I)+εH_1(φ,I,t), φ\in T^2,\ I\…
math.DS2012★ 1 cited
Splitting of separatrices in the resonances of nearly integrable Hamiltonian Systems of one and a half degrees of freedom
Marcel Guardia
In this paper we consider general nearly integrable analytic Hamiltonian systems of one and a half degrees of freedom which are a trigonometric polynomial in the angular state vari…