Orbites périodiques des systèmes hamiltoniens du type de celui des trois corps

Abbas Bahri; Paul-H. Rabinowitz

Annales de la Faculté des sciences de Toulouse : Mathématiques (1990)

  • Volume: 11, Issue: 2, page 9-21
  • ISSN: 0240-2963

How to cite

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Bahri, Abbas, and Rabinowitz, Paul-H.. "Orbites périodiques des systèmes hamiltoniens du type de celui des trois corps." Annales de la Faculté des sciences de Toulouse : Mathématiques 11.2 (1990): 9-21. <http://eudml.org/doc/73264>.

@article{Bahri1990,
author = {Bahri, Abbas, Rabinowitz, Paul-H.},
journal = {Annales de la Faculté des sciences de Toulouse : Mathématiques},
keywords = {Hamiltonian systems; three-body problem; periodic orbits; variational approach; Palais-Smale condition},
language = {fre},
number = {2},
pages = {9-21},
publisher = {UNIVERSITE PAUL SABATIER},
title = {Orbites périodiques des systèmes hamiltoniens du type de celui des trois corps},
url = {http://eudml.org/doc/73264},
volume = {11},
year = {1990},
}

TY - JOUR
AU - Bahri, Abbas
AU - Rabinowitz, Paul-H.
TI - Orbites périodiques des systèmes hamiltoniens du type de celui des trois corps
JO - Annales de la Faculté des sciences de Toulouse : Mathématiques
PY - 1990
PB - UNIVERSITE PAUL SABATIER
VL - 11
IS - 2
SP - 9
EP - 21
LA - fre
KW - Hamiltonian systems; three-body problem; periodic orbits; variational approach; Palais-Smale condition
UR - http://eudml.org/doc/73264
ER -

References

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  1. [1] Poincaré ( H.) .— Les méthodes nouvelles de la Mécanique Céleste, Librairie Albert Blanchard, Paris1987 MR926907
  2. [2] Alekseev ( V.M.) .— On the capture orbits for the three-body problem for negative energy constant, Uspekhi Mat. Nauk, 24 (1969) pp. 185-186 Zbl0188.29101MR244579
  3. Alekseev ( V.M.) . — Sur l'allure finale du mouvement dans le problème des trois corps, Actes du Congrès Int. des Math.1970, 2, pp. 893-907, Gauthier-Villars, Paris1971 Zbl0266.70005MR650646
  4. [3] Gordon ( W.B.) . - Conservative dynamical systems involving strong forces, Trans. Amer. Math. Soc., 204 (1975) pp. 113-135 Zbl0276.58005MR377983
  5. [4] Ambroseti ( A.) and Coti-Zelati ( V.) .— Critical points with lack of compactness and applications to singular Hamiltonian systems, to appear 
  6. [5] Degiovanni ( M.), Giannoni ( F.) and Marino ( A.) .— Periodic solutions of dynamical systems with Newtonian type potentials, in "Periodic Solutions of Hamiltonian Systems and Related Topics (P.H. Rabinowitz, et al Eds) 29, pp. 111-115, NATO ASI Series, Reidel, Dordrecht1987 Zbl0632.34038MR920613
  7. [6] Greco ( C.) . — Periodic solutions of a class of singular hamiltonian systems, Nonlinear Analysis : TMA, 12 (1988) pp. 259-270 Zbl0648.34048MR928560
  8. [7] Coti-Zelati ( V.) — Morse Theory and periodic solutions of Hamiltonian systems, Preprint, SISSATrieste 
  9. [8] Sullivan ( D.) and Vigué-Poirrier ( M.) .— The homology theory of the closed geodesic problem, J. Diff. Geom., 11 (1976) pp. 633-644 Zbl0361.53058MR455028
  10. [9] Bahri ( A.) and Rabinowitz ( P.H.) .— A minimax method for a class of Hamiltonian systems with singular potentials, J. Funct. Anal., 82 (1983) pp. 412-428 Zbl0681.70018MR987301
  11. [10] Bahri ( A.) and Rabinowitz ( P.H.) .— Periodic solutions of Hamiltonian systemsof 3-body type, to appear Zbl0745.34034MR1145561

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