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Amann, H., Zehnder, E.: Nontrivial solutions for a class of nonresonance problems and applications to nonlinear differential equations. Annali Sc. Norm. Sup. Pisa, Serie IV. Vol.7, 539–603 (1980)
Arnold, V.I.: Mathematical methods of classical mechanics. (Appendix 9). Berlin-Heidelberg-New York: Springer 1978
Arnold, V.I.: Proceedings of symposia in pure mathematics. Vol. XXVIII A.M.S., p. 66, 1976
Banyaga, A.: Sur la structure du groupe des difféomorphismes qui préservent une forme symplectique. Comment. Math. Helvetici53, 174–227 (1978)
Banyaga, A.: On fixed points of symplectic maps. Preprint
Conley, C.C.: Isolated invariant sets and the Morse index. CBMS, Regional Conf. Series in Math., vol. 38 (1978)
Conley, C.C., Zehnder, E.: Morse type index theory for flows and periodic solutions for Hamiltonian equations. To appear in Comm. Pure and Appl. Math.
Moser, J.: A fixed point theorem in symplectic geometry. Acta Math.141, 17–34 (1978)
Moser, J.: Proof of a generalized form of a fixed point theorem due to G.D. Birkooff. Lecture Notes in Mathematics, Vol. 597: Geometry and Topology, pp. 464–494. Berlin-Heidelberg-New York: Springer 1977
Moser, J.: On the volume elements on a manifold. Transactions Amer. Math. Soc.120, 286–294 (1965)
Poincaré, H.: Méthodes nouvelles de la mécanique célèste. Vol. 3, chap. 28. Paris: Gauthier Villars 1899
Weinstein, A.: Lectures on symplectic manifolds. CBMS, Regional conf. series in Math., vol. 29 (1977)
Earle, C.J., Eells, J.: A fibre bundle description of Teichmüller theory. J. Diff. Geometry3, 19–43 (1969)
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Conley, C.C., Zehnder, E. The Birkhoff-Lewis fixed point theorem and a conjecture of V.I. Arnold. Invent Math 73, 33–49 (1983). https://doi.org/10.1007/BF01393824
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DOI: https://doi.org/10.1007/BF01393824