... perturbativemethods, some applications to molecular dynamics. It also includes an ac-count of an approximation proposed by Jeans and by Landau and Teller,which looks alternative to standard methods, and seems ... comesprecisely from perturbation theory, and is a question of exponential estimates.Giancarlo BenettinJacques HenrardSergei Kuksin Hamiltonian Dynamics Theory and Applications LecturesgivenattheC.I.M.E ... is to discuss some physical applications of Hamil-tonian perturbation theory. Just to enter the subject, let us consider the usualsituation of a nearly-integrable Hamiltonian system,H(I,ϕ)=h(I)+εf(I,ϕ)...