Blow up of mechanical systems with a homogeneous energy.

Lacomba, Ernesto A., Bryant, John, and Ibort, Luis Alberto. "Blow up of mechanical systems with a homogeneous energy.." Publicacions Matemàtiques 35.2 (1991): 335-345. <http://eudml.org/doc/41695>.

@article{Lacomba1991,
abstract = {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 verctor 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.},
author = {Lacomba, Ernesto A., Bryant, John, Ibort, Luis Alberto},
journal = {Publicacions Matemàtiques},
keywords = {singularities; classical mechanical systems; configuration coordinates; Hamiltonian function},
language = {eng},
number = {2},
pages = {335-345},
title = {Blow up of mechanical systems with a homogeneous energy.},
url = {http://eudml.org/doc/41695},
volume = {35},
year = {1991},
}

TY - JOUR
AU - Lacomba, Ernesto A.
AU - Bryant, John
AU - Ibort, Luis Alberto
TI - Blow up of mechanical systems with a homogeneous energy.
JO - Publicacions Matemàtiques
PY - 1991
VL - 35
IS - 2
SP - 335
EP - 345
AB - 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 verctor 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.
LA - eng
KW - singularities; classical mechanical systems; configuration coordinates; Hamiltonian function
UR - http://eudml.org/doc/41695
ER -