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Blow up of mechanical systems with a homogeneous energy
Lacomba, Ernesto A. (Universidad Autónoma Metropolitana (Mèxic). Departamento de Matemáticas)
Bryant, John
Ibort, Luis A.

Data: 1991
Resum: By using the ideas introduced by McGehee in the study of thesingularities 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.
Drets: Tots els drets reservats.
Llengua: Anglès
Document: Article ; recerca ; Versió publicada
Publicat a: Publicacions matemàtiques, Vol. 35, Núm. 2 (1991) , p. 333-345, ISSN 2014-4350

Adreça alternativa:
DOI: 10.5565/PUBLMAT_35291_02

13 p, 349.0 KB

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