Approximately conserved quantity in the Hénon-Heiles problem

İnanç Birol and Avadis Hacinliyan
Phys. Rev. E 52, 4750 – Published 1 November 1995
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Abstract

A possible relation between an approximately conserved quantity in the Hénon-Heiles problem and the integrals of the Toda lattice is investigated. A relation good to fifth order exactly and seventh order when averaged is proposed. A form of averaging appears to be significant in the successful construction of approximately conserved quantities.

  • Received 11 May 1995

DOI:https://doi.org/10.1103/PhysRevE.52.4750

©1995 American Physical Society

Authors & Affiliations

İnanç Birol and Avadis Hacinliyan

  • Department of Physics and Turkish Balkan Physics Research Center, Boğaziçi University, 80815 Bebek, Istanbul, Turkey

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Vol. 52, Iss. 5 — November 1995

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