69 citations · 174 across the 18 of their papers we have counts for
3 papers · 1 filter
Chain recurrence, chain transitivity, Lyapunov functions and rigidity of Lagrangian submanifolds of optical hypersurfaces
Alberto Abbondandolo, Olga Bernardi, Franco Cardin
The aim of this paper is twofold. On the one hand, we discuss the notions of strong chain recurrence and strong chain transitivity for flows on metric spaces, together with their c…
Convergence to the time average by stochastic regularization
Olga Bernardi, Franco Cardin, Massimiliano Guzzo
We compare the rate of convergence to the time average of a function over an integrable Hamiltonian flow with the one obtained by a stochastic perturbation of the same flow. Precis…
A new estimate on Evans' Weak KAM approach
O. Bernardi, F. Cardin, M. Guzzo
We consider a recent formulation of weak KAM theory proposed by Evans. As well as for classical integrability, for one dimensional mechanical Hamiltonian systems all the computatio…