Nekhoroshev Stability For Hamiltonian Systems

The theory of Nekhoroshev stability is currently one of the most important subject-s in the field of Hamiltonian dynamical systems. In1970s the Russian mathematician N.N.Nekhoroshev (1946-2008) founded this theory, which focused on the action variables of Hamiltonian systems since the classical KAM theory. In view of its important theoretical and practical value, the Nekhoroshev stability theory has been attracting more and more at-tention of good scholars at home and abroad and developing rapidly. In this thesis,we will give a brief introduction to the Nekhoroshev stability theory of the Hamiltonian systems, and we will stress some important results of its later development.