ON INTEGRABLE POTENTIAL PERTURBATIONS OF THE BILLIARD SYSTEM WITHIN AN ELLIPSOID

Authors
DRAGOVIC V JOVANOVIC B
Citation
V. Dragovic et B. Jovanovic, ON INTEGRABLE POTENTIAL PERTURBATIONS OF THE BILLIARD SYSTEM WITHIN AN ELLIPSOID, Journal of mathematical physics, 38(6), 1997, pp. 3063-3068
Citations number
9
Categorie Soggetti
Mathematical Method, Physical Science","Physycs, Mathematical
Journal title
Journal of mathematical physics → ACNP
ISSN journal
00222488
Volume
38
Issue
6
Year of publication
1997
Pages
3063 - 3068
Database
ISI
SICI code
0022-2488(1997)38:6<3063:OIPPOT>2.0.ZU;2-6
Abstract
Generalizing Kozlov's method of integrable potential perturbations for systems with three degrees of freedom, new integrable billiard system s within ellipsoid in R-3 are constructed. Two countable families of t he basic solutions in the class of the Laurent polynomials are obtaine d. Explicit formulas are given. (C) 1997 American Institute of Physics .