# Blow up of mechanical systems with a homogeneous energy.

Ernesto A. Lacomba; John Bryant; Luis Alberto Ibort

Publicacions Matemàtiques (1991)

- Volume: 35, Issue: 2, page 335-345
- ISSN: 0214-1493

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topLacomba, 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 -

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