ABSTRACT
Many differential equations arising in mechanics and physics can be described as Hamiltonian systems. These equations enjoy many special properties which are geometric in nature, e.g. they possess some integral invariants (Poincare, Cartan [4]). Moreover, many problems in mechanics, being non-linear, are best formulated in the language of geometry and consequently solved by geometric methods, so it is not surprising that geometric methods play a very important role in the study of Hamiltonian systems. In this note we will discuss some of applications of geometric methods in mechanics.
