@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 = {https://www.numdam.org/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 - https://www.numdam.org/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 https://www.numdam.org/item/SB_1992-1993__35__377_0/ %G fr %F SB_1992-1993__35__377_0
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.. https://www.numdam.org/item/SB_1992-1993__35__377_0/
[A-CZ 1] and , , 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] and , 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] and , 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] and , Perturbation of hamiltonian systems with Kepterian potentials, Math. Zeitschrift 201 (1989), 227-242. | Zbl | MR
[A-CZ 5] and , 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] and , "Periodic solutions of singular Lagrangian systems," Birkhaüser, 1993. | Zbl | MR
[B ] ,, 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] , , 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] , , 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] , , The scalar-curvature problem on the standard three-dimensional sphere.-, J. Funct. Anal. 95 (1991), 106-172. | Zbl | MR
[B-L 1] , , 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] and , 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] et , 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] et , A minmax method for a class of Hamiltonian systems with singular potentials, J. Functional Anal. 8 (1989), 561-649. | Zbl
[B-R 2] et , Periodic solutions of Hamiltonian systems of three-body type, Ann. Inst. Poincaré Analyse Non Linéaire 82 (1991), 412-428. | Numdam
[B-CZ] et , Symmetries and non-collision closed orbits for planar N-Body type problems, Non Linear Anal. TMA 16 (1991), 587-598. | Zbl | MR
[Bi] , "Dynamical systems,", Amer. Math. Soc., Providence,R.I., 1924.
[Br] , Points critiques dans les problèmes variationnels sans compacité, Séminaire Bourbaki, Exposé 698, Astérisque 161-162 (1988), 239-256. | Zbl | MR | Numdam
[Co] , "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] , Periodic solutions for N-body type problems, Ann. Inst. Henri Poincaré, Analyse Non Linéaire 7 (1990), 477-492. | Zbl | MR | Numdam
[CZ 2] , A class of periodic solutions of the N-body problem, Cel. Mech. and Dyn. Astr. 46 (1989), 177-186. | Zbl | MR
[DA] , Finding non-collision periodic solutions to a perturbed N-body Kepler problem, preprint Dip. di Matematica Univ. Roma "La Sapienza".
[F] , Witten's complex and infinite-dimensional Morse theory, J. of Differential Geom. 30 (1989), 207-221.. | Zbl | MR
[G] , Conservative dynamical systems involving strong forces, Trans. Amer. Math. Soc. 204 (1975), 113-135. | Zbl | MR
[Gr] , Periodic solutions of a class of singular Hamiltonian systems, Nonlinear Analysis 12 (1988), 259-269. | Zbl | MR
[K] , "Lectures on Closed Geodesics," Grundlehren der Math. Wissenschaften, Band 230, Springer-Verlag, Berlin-Heidelberg-NewYork, 1978. | Zbl | MR
[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] et , Periodic solutions to some n-body type problems, Arch. Rat. Mech. Anal. (to appear).
[M-T 2] et , Periodic solutions to some n-body type problems: the fixed energy case, Duke Math. Jour. (to appear). | Zbl
[M-T 3] et , 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] , Periodic orbits of n-body type problems, PhD dissertation, Department of Mathematics, Rutgers University, New Brunswik, N.J. 08903, U.S.A..
[S-T] et , Collisionless periodic solutions to some three-body problems, Arch. Rat. Mech. Anal. 120 (1992), 305-325. | Zbl | MR
[Si-M] et , "Lectures on celestial mechanics," Springer-Verlag, 1971. | Zbl | MR
[Su] , Acta Soc. Sci. Fenn. 35 (1909).
[Su-VP] , , The homology theory of the closed geodesic problems, Jour. of Differential Geometry 11 (1976), 633-644. | Zbl | MR
[Ta 1] , 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] , Non-collision solutions for a second order singular Hamiltonian system with weak force, preprint.
[V ] , 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







