Approximate First Integrals of a Hamiltonian System with  Two-Degrees of  Freedom

descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 01 Aug 2003 English Publisher:MDPI AGJournal:Mathematical and Computational Applications, volume 8, pages 151-158 (eissn: 2297-8747,

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Authors: Gazanfer Ünal;

doi: 10.3390/mca8020151

Approximate First Integrals of a Hamiltonian System with Two-Degrees of Freedom

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Abstract

Approximate Noether symmetries of a Hamiltonian system with two-degrees of freedom have been determined by incorporating the resonances. Approximate first integrals corresponding to these symmetries have been obtained by utilizing the approximate. version of the Noether’s theorem. Analytically obtained result has been compared with the numerically obtained Poincaré’s surface of sections.

Related Organizations

Istanbul Technical University
Turkey

Keywords

KAM curves, resonances, Approximate symmetries, approximate first integrals

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