Access

You are not currently logged in.

Access your personal account or get JSTOR access through your library or other institution:

login

Log in to your personal account or through your institution.

If You Use a Screen Reader

This content is available through Read Online (Free) program, which relies on page scans. Since scans are not currently available to screen readers, please contact JSTOR User Support for access. We'll provide a PDF copy for your screen reader.

BLOW UP OF MECHANICAL SYSTEMS WITH A HOMOGENEOUS ENERGY

Ernesto A. Lacomba, John Bryant and Luis A. Ibort
Publicacions Matemàtiques
Vol. 35, No. 2 (1991), pp. 333-345
Stable URL: http://www.jstor.org/stable/43736325
Page Count: 13
  • Read Online (Free)
  • Subscribe ($19.50)
  • Cite this Item
Since scans are not currently available to screen readers, please contact JSTOR User Support for access. We'll provide a PDF copy for your screen reader.
BLOW UP OF MECHANICAL SYSTEMS WITH A HOMOGENEOUS ENERGY
Preview not available

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 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.

Page Thumbnails

  • Thumbnail: Page 
[333]
    [333]
  • Thumbnail: Page 
334
    334
  • Thumbnail: Page 
335
    335
  • Thumbnail: Page 
336
    336
  • Thumbnail: Page 
337
    337
  • Thumbnail: Page 
338
    338
  • Thumbnail: Page 
339
    339
  • Thumbnail: Page 
340
    340
  • Thumbnail: Page 
341
    341
  • Thumbnail: Page 
342
    342
  • Thumbnail: Page 
343
    343
  • Thumbnail: Page 
344
    344
  • Thumbnail: Page 
345
    345