@book{MSMF_1998_2_74__1_0, author = {Arnaud, Marie-Claude}, title = {Le {\guillemotleft} closing lemma {\guillemotright} en topologie $C^1$}, series = {M\'emoires de la Soci\'et\'e Math\'ematique de France}, publisher = {Soci\'et\'e math\'ematique de France}, number = {74}, year = {1998}, doi = {10.24033/msmf.387}, mrnumber = {99h:58097}, zbl = {0920.58039}, language = {fr}, url = {http://archive.numdam.org/item/MSMF_1998_2_74__1_0/} }
TY - BOOK AU - Arnaud, Marie-Claude TI - Le « closing lemma » en topologie $C^1$ T3 - Mémoires de la Société Mathématique de France PY - 1998 IS - 74 PB - Société mathématique de France UR - http://archive.numdam.org/item/MSMF_1998_2_74__1_0/ DO - 10.24033/msmf.387 LA - fr ID - MSMF_1998_2_74__1_0 ER -
Arnaud, Marie-Claude. Le « closing lemma » en topologie $C^1$. Mémoires de la Société Mathématique de France, Serie 2, no. 74 (1998), 132 p. doi : 10.24033/msmf.387. http://numdam.org/item/MSMF_1998_2_74__1_0/
[1] Foundations of mechanics, Benjamin N.Y., 1967. | Zbl
et -[2] Méthodes mathématiques de la mécanique classique, MIR, 1976. | Zbl | MR
-[3] Problèmes ergodiques de la mécanique classique, Gauthier-Villars, 1967. | Zbl | MR
et -[4] "A counter-exemple to a C2 closing lemma", Erg. Th. and Dyn. Syst. 7 (1987), p. 509-530. | Zbl | MR
-[5] "Exemple de flots hamiltoniens dont aucune perturbation en topologie C∞ n'a d'orbites périodiques sur un ouvert de surfaces d'énergie", C.R.A.S. (1991), no. 313, p. 49-51. | Zbl | MR
-[6] "A simpler proof of C1 closing lemma", Scientia Sinica 10 (1986), no. XXIV, p. 1020-1031. | Zbl
-[7], "A simpler proof of the extended C1 closing lemma", Chinese Science Bull. 34-3 (1989), p. 180-184.
[8] "An ergodic closing lemma", Annals of Mathematics 116 (1982), p. 503-540. | Zbl | MR
-[9] "On the volume element on a manifold", Trans. Amer. Math. Soc. 120 (1965), p. 286-294. | Zbl | MR
-[10], "Proof of a generalized form of a fixed point theorem due to G.D. Birkhoff", Springer Lect. Notes in Math. 597 (1977), p. 464-494. | Zbl | MR
[11] Geometric theory of dynamical systems, Springer-Verlag, 1982. | Zbl | MR
et -[12] "Fifty problems in dynamical systems", L.N. in Math. 468 (1974), p. 345-353. | Zbl | MR
et -[13] "The closing lemma", Amer. J. Math. 89 (1967), p. 956-1009. | Zbl | MR
-[14], "An improved closing lemma and a general density theorem", Amer. J. Math. 89 (1967), p. 1010-1021. | Zbl | MR
[15] "The C1 closing lemma, including hamiltonians", Erg. Th. & Dyn. Syst. 3 (1983), p. 261-314. | Zbl | MR
et -[16] "Introduction to the closing lemma", Springer Lect. Notes in Math. 668 (1978), p. 223-230. | Zbl | MR
-[17] "Stabilité globale des systèmes dynamiques", Asterisque 56 (1978). | Zbl | MR | Numdam
-[18] "On the C1-stability conjecture of flows", J. Diff. Equations 129 (1996), p. 334-357. | Zbl | MR
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