Transi\c{c}\~ao de fase no sistema de H\'enon-Heiles (Phase transition in the Henon-Heiles system)

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.