Multiple closed orbits for singular conservative systems via geodesic theory

Ugo Bessi

Rendiconti del Seminario Matematico della Università di Padova (1991)

  • Volume: 85, page 201-215
  • ISSN: 0041-8994

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Bessi, Ugo. "Multiple closed orbits for singular conservative systems via geodesic theory." Rendiconti del Seminario Matematico della Università di Padova 85 (1991): 201-215. <http://eudml.org/doc/108217>.

@article{Bessi1991,
author = {Bessi, Ugo},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
language = {eng},
pages = {201-215},
publisher = {Seminario Matematico of the University of Padua},
title = {Multiple closed orbits for singular conservative systems via geodesic theory},
url = {http://eudml.org/doc/108217},
volume = {85},
year = {1991},
}

TY - JOUR
AU - Bessi, Ugo
TI - Multiple closed orbits for singular conservative systems via geodesic theory
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 1991
PB - Seminario Matematico of the University of Padua
VL - 85
SP - 201
EP - 215
LA - eng
UR - http://eudml.org/doc/108217
ER -

References

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  1. [1] S.I. Alber, On periodicity problems in the calculus of variations in the large, A.M.S. Translations, 14 (1960), pp. 107-172. Zbl0094.08202MR113234
  2. [2] A. Ambrosetti - V. Coti Zelati, Closed orbits of fixed energy for singular hamiltonian systems, Archive Rat. Mech. and Anal., to appear. Zbl0737.70008MR1077264
  3. [3] A. Ambrosetti - U. Bessi, Multiple periodic trajectories in a relativistic gravitational field, preprint S.N.S., 77 (1990). Zbl0725.34038MR1205167
  4. [4] V. Benci - F. GIANNONI, Periodic solutions of prescribed energy for a class of hamiltonian systems with singular potentials, J. Differential Equations, 82 (1989), pp. 60-70. Zbl0689.34034MR1023301
  5. [5] V. Coti Zelati - U. Bessi, Symmetries and non-collision closed orbits for planar, N-body type problems, J. Nonlinear. Analysis, to appear. Zbl0715.70016
  6. [6] F. Giannoni - M. DEGIOVANNI, Dynamical systems with newtonian type potentials, Ann. Scuola Norm. Sup. Pisa, 15 (1988), pp. 467-494. Zbl0692.34050MR1015804
  7. [7] W. Klingenberg, Lectures on Closed Geodesic, Grundlehren der Math. Wiss., 235. Zbl0397.58018
  8. [8] L. Tonelli, Sulle orbite periodiche, Rendiconti R. Accad. dei Lincei, 21-1 (1912), pp. 251-258. JFM43.0825.04

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