Remarks on periodic solutions, with prescribed energy, for singular Hamiltonian systems

Carlo Greco

Commentationes Mathematicae Universitatis Carolinae (1987)

  • Volume: 028, Issue: 4, page 661-672
  • ISSN: 0010-2628

How to cite

top

Greco, Carlo. "Remarks on periodic solutions, with prescribed energy, for singular Hamiltonian systems." Commentationes Mathematicae Universitatis Carolinae 028.4 (1987): 661-672. <http://eudml.org/doc/17581>.

@article{Greco1987,
author = {Greco, Carlo},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {singularities; Hamiltonian systems},
language = {eng},
number = {4},
pages = {661-672},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Remarks on periodic solutions, with prescribed energy, for singular Hamiltonian systems},
url = {http://eudml.org/doc/17581},
volume = {028},
year = {1987},
}

TY - JOUR
AU - Greco, Carlo
TI - Remarks on periodic solutions, with prescribed energy, for singular Hamiltonian systems
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1987
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 028
IS - 4
SP - 661
EP - 672
LA - eng
KW - singularities; Hamiltonian systems
UR - http://eudml.org/doc/17581
ER -

References

top
  1. A. AMBROSETTI, Sistemi dinamici con potenziali singolari, Proc. of Recent advances in Hamiltoman systems, L'Aquila, June 1986. (1986) 
  2. A. AMBROSETTI V. COTI ZELATI, Critical points with lack of compactness and singular dynamical systems, preprint Scuola Normale Superiore, Pisa, Nov. 1986. (1986) MR0932787
  3. A. CAPOZZI C. GRECO A. SALVATORE, Lagrangian systems in presence of singularities, preprint. MR0915729
  4. E. A. CODDINGTON N. LEVINSON, The theory of ordinary differential equations, Mc Graw-Hill, New York 1955. (1955) MR0069338
  5. H. GLUCK W. ZILLER, Existence of periodic motions of conservative systems, in Seminar on Minimal Submanifolds, E. Bombieri Ed., Princeton Univ. Press, 1983. (1983) MR0795229
  6. W. B. GORDON, Conservative dynamical systems involving strong forces, Trans. A. M. S. 204 (1975), 113-135. (1975) Zbl0276.58005MR0377983
  7. W. B. GORDON, Very strong forces, in Selected Studies: physics-astrophysics, math. hist, of science, 79-91, North-Holland, Amsterdam, New York, 1982. (1982) Zbl0498.70028MR0662853
  8. C. GRECO, Periodic solutions of a class of singular Hamlltonian systems, to appear in Nonlinear Analysis T.M.A. MR0928560
  9. K. HAYASHІ, Periodic solutions of classical Hamiltonian systems, Tokyo J. Math. 6 (2) (1983), 473-486. (1983) 
  10. M. KLINGENBERG, Lectures on closed geodesics, Springer, New York 1978. (1978) Zbl0397.58018MR0478069
  11. O. R. RUІZ, Existenct of brake oгbits in Finsler mechanical systems, in Lect. Notes in Math. 597, Springer 1977. (1977) 
  12. H. SEIFERT, Periodische Bewegungen mechanischer Systsme, Math. Z. 51 (1948), 197-216. (1948) MR0025693
  13. A. WEINSTEIN, Periodic orbits for convex hamiltonian systems, Annals of Math. 108 (1978), 507-518. (1978) Zbl0403.58001MR0512430

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

                
Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.