For sufficient smooth nearly integrable Hamiltonian systems, an open dense set of perturbations has been constructed. And for a perturbation in this set the existence for families of lower-dimensional tori of hyperbol...For sufficient smooth nearly integrable Hamiltonian systems, an open dense set of perturbations has been constructed. And for a perturbation in this set the existence for families of lower-dimensional tori of hyperbolic, elliptic and mixed types has been proved.展开更多
文摘For sufficient smooth nearly integrable Hamiltonian systems, an open dense set of perturbations has been constructed. And for a perturbation in this set the existence for families of lower-dimensional tori of hyperbolic, elliptic and mixed types has been proved.