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

Authors: Oliveira, Hercules A.;

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

Abstract

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.

Comment: 7 pages, 12 figures, in Portuguese

Keywords

Nonlinear Sciences - Chaotic Dynamics

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
Average
Average
Green