Possible conserved quantity for the Hénon-Heiles problem

Autor:	C. Edward Jones, Paul Finkler, Glenn A. Sowell
Rok vydání:	1990
Předmět:	Physics Astron Conservation law symbols.namesake Chaotic symbols Equations of motion Hamiltonian (quantum mechanics) Conserved quantity Atomic and Molecular Physics and Optics Celestial mechanics Poincaré map Mathematical physics
Zdroj:	Physical Review A. 42:1931-1945
ISSN:	1094-1622 1050-2947
DOI:	10.1103/physreva.42.1931
Popis:	We study a power-series expansion for a conserved quantity K in the case of the two-dimensional H\'enon-Heiles potential. An alternative technique to that of Gustavson [Astron. J. 71, 670 (1966)] is applied to find the coefficients in the expansion for K. The technique is used to determine twelve orders for the conserved quantity K, more than twice as many as that calculated by Gustavson. We investigate the degree of constancy of our truncated K in regions where the motion is known to be chaotic and also where it is nonchaotic.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2d954ad46c20dc012992d76cb3ced455 https://doi.org/10.1103/physreva.42.1931 Zobrazit plný text záznamu