Vey, Jacques Orbites périodiques d’un système hamiltonien du voisinage d’un point d’équilibre. (French) Zbl 0391.70018 Ann. Sc. Norm. Super. Pisa, Cl. Sci., IV. Ser. 5, 757-787 (1978). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 2 Documents MSC: 70H05 Hamilton’s equations 37J99 Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems 93C15 Control/observation systems governed by ordinary differential equations 34C25 Periodic solutions to ordinary differential equations Keywords:Hamiltonian System; Periodic Orbits; Hamiltonian; Equilibrium PDFBibTeX XMLCite \textit{J. Vey}, Ann. Sc. Norm. Super. Pisa, Cl. Sci., IV. Ser. 5, 757--787 (1978; Zbl 0391.70018) Full Text: Numdam EuDML References: [1] C.L. Siegel , Über die Existenz einer Normal f orm analytischer Hamiltonscher Differentialgleichungen in der Nähe einer Gleichgewichtslôsung , Math. Ann. , 128 ( 1954 ), pp. 144 - 170 . MR 67298 | Zbl 0057.32002 · Zbl 0057.32002 · doi:10.1007/BF01360131 [2] H. Poincaré , Les méthodes nouvelles de la Mécanique Céleste , tome I , Gauthier-Villars , 1892 . · JFM 24.1130.01 [3] J.T. Schwarz , Non-linear Functional Analysis , Gordon & Breach , 1969 . Zbl 0203.14501 · Zbl 0203.14501 [4] C.L. Siegel - J. Moser , Lectures on Celestial Mechanics , Ergebn., Springer , 1971 . MR 502448 | Zbl 0312.70017 · Zbl 0312.70017 [5] L. Lusternik - L. Schnirelman , Méthodes topologiques dans les problèmes variationnels , Hermann , 1934 . Zbl 0011.02803 · Zbl 0011.02803 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.