FAMILY BOUNDARY CURVES FOR AUTONOMOUS DYNAMICAL-SYSTEMS

Authors
BOZIS G
Citation
G. Bozis, FAMILY BOUNDARY CURVES FOR AUTONOMOUS DYNAMICAL-SYSTEMS, Celestial mechanics & dynamical astronomy, 60(1), 1994, pp. 161-172
Citations number
NO
Categorie Soggetti
Astronomy & Astrophysics
Journal title
Celestial mechanics & dynamical astronomy → ACNP
ISSN journal
09232958
Volume
60
Issue
1
Year of publication
1994
Pages
161 - 172
Database
ISI
SICI code
0923-2958(1994)60:1<161:FBCFAD>2.0.ZU;2-6
Abstract
The notion of the family boundary curves (FBC), introduced recently fo r two-dimensional conservative systems, is extended to account for, ge nerally, nonconservative autonomous systems of two degrees of freedom. Formulae are found for the force components X(x, y), Y(x, y) which pr oduce a preassigned family of orbits f(x, y) = c lying inside a preass igned, open or closed, region B(x, y) greater-than-or-equal-to 0 of th e xy plane.