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Article

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

by
Gazanfer Ünal
Istanbul Technical University, Faculty of Science and Letters, Maslak 80626, Istanbul, Turkey
Math. Comput. Appl. 2003, 8(2), 151-158; https://doi.org/10.3390/mca8020151
Published: 1 August 2003
Versions Notes

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.
Keywords: Approximate symmetries; resonances; approximate first integrals; KAM curves Approximate symmetries; resonances; approximate first integrals; KAM curves

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MDPI and ACS Style

Ünal, G. Approximate First Integrals of a Hamiltonian System with Two-Degrees of Freedom. Math. Comput. Appl. 2003, 8, 151-158. https://doi.org/10.3390/mca8020151

AMA Style

Ünal G. Approximate First Integrals of a Hamiltonian System with Two-Degrees of Freedom. Mathematical and Computational Applications. 2003; 8(2):151-158. https://doi.org/10.3390/mca8020151

Chicago/Turabian Style

Ünal, Gazanfer. 2003. "Approximate First Integrals of a Hamiltonian System with Two-Degrees of Freedom" Mathematical and Computational Applications 8, no. 2: 151-158. https://doi.org/10.3390/mca8020151

APA Style

Ünal, G. (2003). Approximate First Integrals of a Hamiltonian System with Two-Degrees of Freedom. Mathematical and Computational Applications, 8(2), 151-158. https://doi.org/10.3390/mca8020151

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