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Title: Genealogy of periodic trajectories

Abstract

The periodic solutions of non-integrable classical Hamiltonian systems with two degrees of freedom are numerically investigated. Curves of periodic families are given in plots of energy vs. period. Results are presented for this Hamiltonian: H = 1/2(p/sub x//sup 2/ + p/sub y//sup 2/) + 1/2 x/sup 2/ + 3/2 y/sup 2/ - x/sup 2/y + 1/12 x/sup 4/. Properties of the families of curves are pointed out. (LEW)

Authors:
; ;
Publication Date:
Research Org.:
Massachusetts Inst. of Tech., Cambridge (USA); Oak Ridge National Lab., TN (USA); Sao Paulo Univ. (Brazil). Inst. de Fisica
OSTI Identifier:
5272333
Report Number(s):
CONF-8605145-3
ON: DE86015444
DOE Contract Number:
AC05-84OR21400
Resource Type:
Conference
Resource Relation:
Conference: International conference on the physics of phase space, College Park, MD, USA, 20 May 1986; Other Information: Portions of this document are illegible in microfiche products
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; HAMILTONIAN FUNCTION; TRAJECTORIES; GRAPHS; MATRICES; TWO-DIMENSIONAL CALCULATIONS; FUNCTIONS; 657007* - Electricity & Magnetism- (-1987)

Citation Formats

de Adguiar, M.A.M., Maldta, C.P., and de Passos, E.J.V. Genealogy of periodic trajectories. United States: N. p., 1986. Web.
de Adguiar, M.A.M., Maldta, C.P., & de Passos, E.J.V. Genealogy of periodic trajectories. United States.
de Adguiar, M.A.M., Maldta, C.P., and de Passos, E.J.V. 1986. "Genealogy of periodic trajectories". United States. doi:.
@article{osti_5272333,
title = {Genealogy of periodic trajectories},
author = {de Adguiar, M.A.M. and Maldta, C.P. and de Passos, E.J.V.},
abstractNote = {The periodic solutions of non-integrable classical Hamiltonian systems with two degrees of freedom are numerically investigated. Curves of periodic families are given in plots of energy vs. period. Results are presented for this Hamiltonian: H = 1/2(p/sub x//sup 2/ + p/sub y//sup 2/) + 1/2 x/sup 2/ + 3/2 y/sup 2/ - x/sup 2/y + 1/12 x/sup 4/. Properties of the families of curves are pointed out. (LEW)},
doi = {},
journal = {},
number = ,
volume = ,
place = {United States},
year = 1986,
month = 5
}

Conference:
Other availability
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