Family boundary curves for autonomous dynamical systems

Details Family boundary curves for autonomous dynamical systems Family boundary curves for autonomous dynamical systems

Sep 1994

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1994cemda..60..161b&link_type=abstract

Celestial Mechanics and Dynamical Astronomy, vol. 60, no. 1, p. 161-172

Mathematics

Dynamical Systems

3

Autonomy, Dynamical Systems, Orbital Mechanics, Orbits, Field Theory (Physics), Gravitational Fields, Particle Trajectories

Scientific paper

The notion of the family boundary curves (FBC), introduced recently for two-dimensional conservative systems, is extended to account for, generally, nonconservative autonomous systems of two degrees of freedom. Formulae are found for the force components X(x,y), Y(x,y) which produce a preassigned family of orbits f(x,y) = c lying inside a preassigned, open or closed, region B(x,y) greater than or equal to 0 of the xy plane.

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