logo AFST

Orbites périodiques des systèmes hamiltoniens du type de celui des trois corps
Annales de la Faculté des sciences de Toulouse : Mathématiques, Série 5, Tome 11 (1990) no. 2, pp. 9-21.
@article{AFST_1990_5_11_2_9_0,
     author = {Bahri, Abbas and Rabinowitz, Paul-H.},
     title = {Orbites p\'eriodiques des syst\`emes hamiltoniens du type de celui des trois corps},
     journal = {Annales de la Facult\'e des sciences de Toulouse : Math\'ematiques},
     pages = {9--21},
     publisher = {Universit\'e Paul Sabatier},
     address = {Toulouse},
     volume = {5e s{\'e}rie, 11},
     number = {2},
     year = {1990},
     doi = {10.5802/afst.701},
     zbl = {0731.70007},
     mrnumber = {1191709},
     language = {fr},
     url = {afst.centre-mersenne.org/item/AFST_1990_5_11_2_9_0/}
}
Abbas Bahri; Paul-H. Rabinowitz. Orbites périodiques des systèmes hamiltoniens du type de celui des trois corps. Annales de la Faculté des sciences de Toulouse : Mathématiques, Série 5, Tome 11 (1990) no. 2, pp. 9-21. doi : 10.5802/afst.701. https://afst.centre-mersenne.org/item/AFST_1990_5_11_2_9_0/

[1] Poincaré (H.) .- Les méthodes nouvelles de la Mécanique Céleste, Librairie Albert Blanchard, Paris 1987 | MR 926907

[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 | MR 244579 | Zbl 0188.29101

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, Paris 1971 | MR 650646 | Zbl 0266.70005

[3] Gordon (W.B.) . - Conservative dynamical systems involving strong forces, Trans. Amer. Math. Soc., 204 (1975) pp. 113-135 | MR 377983 | Zbl 0276.58005

[4] Ambroseti (A.) and Coti-Zelati (V.) .- Critical points with lack of compactness and applications to singular Hamiltonian systems, to appear

[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, Dordrecht 1987 | MR 920613 | Zbl 0632.34038

[6] Greco (C.) . - Periodic solutions of a class of singular hamiltonian systems, Nonlinear Analysis : TMA, 12 (1988) pp. 259-270 | MR 928560 | Zbl 0648.34048

[7] Coti-Zelati (V.) - Morse Theory and periodic solutions of Hamiltonian systems, Preprint, SISSA Trieste

[8] Sullivan (D.) and Vigué-Poirrier (M.) .- The homology theory of the closed geodesic problem, J. Diff. Geom., 11 (1976) pp. 633-644 | MR 455028 | Zbl 0361.53058

[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 | MR 987301 | Zbl 0681.70018

[10] Bahri (A.) and Rabinowitz (P.H.) .- Periodic solutions of Hamiltonian systemsof 3-body type, to appear | Numdam | MR 1145561 | Zbl 0745.34034