Orbites périodiques dans le problème des trois corps
Séminaire Bourbaki : volume 1992/93, exposés 760-774, Astérisque, no. 216 (1993), Exposé no. 774, 17 p.

Voir la notice du chapitre de livre provenant de la source Numdam

MR Zbl
Viterbo, Claude. Orbites périodiques dans le problème des trois corps, dans Séminaire Bourbaki : volume 1992/93, exposés 760-774, Astérisque, no. 216 (1993), Exposé no. 774, 17 p.. http://geodesic.mathdoc.fr/item/SB_1992-1993__35__377_0/
@incollection{SB_1992-1993__35__377_0,
     author = {Viterbo, Claude},
     title = {Orbites p\'eriodiques dans le probl\`eme des trois corps},
     booktitle = {S\'eminaire Bourbaki : volume 1992/93, expos\'es 760-774},
     series = {Ast\'erisque},
     note = {talk:774},
     pages = {377--393},
     year = {1993},
     publisher = {Soci\'et\'e math\'ematique de France},
     number = {216},
     mrnumber = {1246404},
     zbl = {0801.70007},
     language = {fr},
     url = {http://geodesic.mathdoc.fr/item/SB_1992-1993__35__377_0/}
}
TY  - CHAP
AU  - Viterbo, Claude
TI  - Orbites périodiques dans le problème des trois corps
BT  - Séminaire Bourbaki : volume 1992/93, exposés 760-774
AU  - Collectif
T3  - Astérisque
N1  - talk:774
PY  - 1993
SP  - 377
EP  - 393
IS  - 216
PB  - Société mathématique de France
UR  - http://geodesic.mathdoc.fr/item/SB_1992-1993__35__377_0/
LA  - fr
ID  - SB_1992-1993__35__377_0
ER  - 
%0 Book Section
%A Viterbo, Claude
%T Orbites périodiques dans le problème des trois corps
%B Séminaire Bourbaki : volume 1992/93, exposés 760-774
%A Collectif
%S Astérisque
%Z talk:774
%D 1993
%P 377-393
%N 216
%I Société mathématique de France
%U http://geodesic.mathdoc.fr/item/SB_1992-1993__35__377_0/
%G fr
%F SB_1992-1993__35__377_0

[A-CZ 1] Ambrosetti, A. and Coti-Zelati, V., Critical points with lack of compactness and applications to singular dynamical systems,, Annali Mat. Pura Appl. 149 (1987), 237-259. | Zbl | MR

[A-CZ 2] Ambrosetti, A. and Coti-Zelati, V., Periodic solutions of singular dynamical systems, in "Periodic solutions of Hamiltonian systems and related topics," P.H Rabinowitz et al eds, Nato ASI Series, Reidel, 1987, pp. 1-10. | Zbl | MR

[A-CZ 3] Ambrosetti, A. and Coti-Zelati, V., Noncollision orbits for a class of Keplerian like potentials, Ann. Inst. Henri Poincaré, Analyse Non Linéaire 5 (1988), 287-295. | Zbl | MR | Numdam

[A-CZ 4] Ambrosetti, A. and Coti-Zelati, V., Perturbation of hamiltonian systems with Kepterian potentials, Math. Zeitschrift 201 (1989), 227-242. | Zbl | MR

[A-CZ 5] Ambrosetti, A. and Coti-Zelati, V., Closed orbits of fixed energy for a class of n-body problems, Ann. Inst. Henri Poincaré, Analyse Non Linéaire 9 (1992), 187-200. | Zbl | MR | Numdam

[A-CZ 6] Ambrosetti, A. and Coti-Zelati, V., "Periodic solutions of singular Lagrangian systems," Birkhaüser, 1993. | Zbl | MR

[B ] Bahri, A.,, Variational contribution of periodic orbits obtained by the Birkhoff-- Lewis method, preprint, Department of Mathematics, Rutgers University, New Brunswick, N.J. 08903, U.S.A..

[B-C 1] Bahri, A., Coron, J-M., Une théorie des points critiques à l'infini pour l'équation de Yamabe et le problème de Kazdan-Warner, C. R. Acad. Sci. Paris Ser. I Math. 300 (1985), 513-516. | Zbl | MR

[B-C 2] Bahri, A., Coron, J-M., On a nonlinear elliptic equation involving the critical Sobolev exponent: the effect of the topology of the domain, Comm. Pure and Appl. Math. 41 (1988), 253-294. | Zbl | MR

[B-C 3] Bahri, A., Coron, J-M., The scalar-curvature problem on the standard three-dimensional sphere.-, J. Funct. Anal. 95 (1991), 106-172. | Zbl | MR

[B-L 1] Bahri, A., Lions, P. L., Remarques sur la théorie variationelle des points critiques et applications, C.R. Acad.Sci.,Paris 301 (1985), p. 145-147. | Zbl | MR

[B-L 2] Bahri, A. and Lions, P. L., Morse index of some min-max critical points I. Applications to multiplicity results, Comm. Pure Appl. Math. 41 (1988), 1027-1037. | Zbl | MR

[B-D'O] Bahri, A. et D'Onofrio, B., Exponential growth of the number of periodic orbits for three body type problems, Maghreb Math. Rev. 1 (1992), 1-14. | Zbl | MR

[B-R 1] Bahri, A. et Rabinowitz, P., A minmax method for a class of Hamiltonian systems with singular potentials, J. Functional Anal. 8 (1989), 561-649. | Zbl

[B-R 2] Bahri, A. et Rabinowitz, P., Periodic solutions of Hamiltonian systems of three-body type, Ann. Inst. Poincaré Analyse Non Linéaire 82 (1991), 412-428. | Numdam

[B-CZ] Bessi, U. et Coti-Zelati, V., Symmetries and non-collision closed orbits for planar N-Body type problems, Non Linear Anal. TMA 16 (1991), 587-598. | Zbl | MR

[Bi] Birkhoff, G., "Dynamical systems,", Amer. Math. Soc., Providence,R.I., 1924.

[Br] Brézis, H., Points critiques dans les problèmes variationnels sans compacité, Séminaire Bourbaki, Exposé 698, Astérisque 161-162 (1988), 239-256. | Zbl | MR | Numdam

[Co] Conley, C. C., "Isolated Invariant Sets and their Morse Index," C.B.M.S. Reg. Conf. Series in Math. n° 38, Amer. Math. Soc., Providence,R.I., 1978. | Zbl | MR

[CZ 1] Coti-Zelati, V., Periodic solutions for N-body type problems, Ann. Inst. Henri Poincaré, Analyse Non Linéaire 7 (1990), 477-492. | Zbl | MR | Numdam

[CZ 2] Coti-Zelati, V., A class of periodic solutions of the N-body problem, Cel. Mech. and Dyn. Astr. 46 (1989), 177-186. | Zbl | MR

[DA] Dell'Antonio, G., Finding non-collision periodic solutions to a perturbed N-body Kepler problem, preprint Dip. di Matematica Univ. Roma "La Sapienza".

[F] Floer, A., Witten's complex and infinite-dimensional Morse theory, J. of Differential Geom. 30 (1989), 207-221.. | Zbl | MR

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

[Gr] Greco, C., Periodic solutions of a class of singular Hamiltonian systems, Nonlinear Analysis 12 (1988), 259-269. | Zbl | MR

[K] Klingenberg, W., "Lectures on Closed Geodesics," Grundlehren der Math. Wissenschaften, Band 230, Springer-Verlag, Berlin-Heidelberg-NewYork, 1978. | Zbl | MR

[L] Lions, P. L., The concentration compactness principle in the calculus of Variations (Part 1 and 2), Revista Matematica Iberoamericana 1 (1985), 45 and 145. | MR

[M-T 1] Majer, P. et Teracini, S., Periodic solutions to some n-body type problems, Arch. Rat. Mech. Anal. (to appear).

[M-T 2] Majer, P. et Teracini, S., Periodic solutions to some n-body type problems: the fixed energy case, Duke Math. Jour. (to appear). | Zbl

[M-T 3] Majer, P. et Teracini, S., Multiple periodic solutions to some N-body type problems via a collision index, preprint, Dip. di Matematica del Politecnico di Milano, Pzza L. da Vinci 32, Milano.

[R] Riahi, H., Periodic orbits of n-body type problems, PhD dissertation, Department of Mathematics, Rutgers University, New Brunswik, N.J. 08903, U.S.A..

[S-T] Serra, E. et Teracini, S., Collisionless periodic solutions to some three-body problems, Arch. Rat. Mech. Anal. 120 (1992), 305-325. | Zbl | MR

[Si-M] Siegel, C. L. et Moser, J., "Lectures on celestial mechanics," Springer-Verlag, 1971. | Zbl | MR

[Su] Sundman, Acta Soc. Sci. Fenn. 35 (1909).

[Su-VP] Sullivan, D., Vigué-Poirrier, M., The homology theory of the closed geodesic problems, Jour. of Differential Geometry 11 (1976), 633-644. | Zbl | MR

[Ta 1] Tanaka, K., Morse indices at critical points related to the symmetric mountain pass theorem and applications, Comm. Partial Diff. Eq. 14 (1989), 99-128. | Zbl | MR

[Ta 2] Tanaka, K., Non-collision solutions for a second order singular Hamiltonian system with weak force, preprint.

[V ] Viterbo, C., Indice de Morse des points critiques obtenus par minimax, Annales de l'Institut Henri Poincaré: Analyse non linéaire 5 (1988), 221-225. | Zbl | MR | Numdam