| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 10415158 | Communications in Nonlinear Science and Numerical Simulation | 2005 | 11 Pages |
Abstract
Approximate first integrals (conserved quantities) of Hénon-Heiles system have been obtained based on the approximate Noether symmetries for the resonance (Ï2=Ï1) and off resonance. It has been shown that system undergoes complicated bifurcations near resonances. Analytical results have been verified by numerically obtained KAM curves on the Poincaré surface of section.
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Authors
G. Ãnal, C.M. Khalique,