  The Henon-Heiles system was originally proposed to describe the dynamical
behavior of galaxies, but this system has been widely applied in dynamical
systems by exhibit great details in phase space. This work presents the
formalism to describe Henon-Heiles system and a qualitative approach of
dynamics behavior. The growth of chaotic region in phase space is observed by
Poincare Surface of Section when the total energy increases. Island of
regularity remain around stable points and relevants phenomena appear, such as
sticky.
