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BLOW UP OF MECHANICAL SYSTEMS WITH A HOMOGENEOUS ENERGY
Ernesto A. Lacomba, John Bryant and Luis A. Ibort
Vol. 35, No. 2 (1991), pp. 333-345
Published by: Universitat Autònoma de Barcelona
Stable URL: http://www.jstor.org/stable/43736325
Page Count: 13
You can always find the topics here!Topics: Infinity, Mathematical manifolds, Coordinate systems, Mechanical systems, Vector fields, Critical points, Energy levels, Celestial mechanics, Matrices, Topology
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By using the ideas introduced by McGehee in the study of the singularities in some problems of Celestial Mechanics, we study the singularities at the origin and at the infinity for some classical mechanical systems with homogeneous kinetic and potential energy functions. For these systems the origin and the infinity of the configuration coordinates is usually a singularity or a nullity of the Hamiltonian function and the vector field. This work generalizes a previous one by the first and the third authors, where the kinetic energy did not depend on the configuration coordinates.
Publicacions Matemàtiques © 1991 Universitat Autònoma de Barcelona