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Homoclinic points in conservative systems

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References

  1. Abraham, R., Marsden, J.: Foundations of mechanics. New York: Benjamin, 1967.

    Google Scholar 

  2. Arnold, V. I., Avez, A.: Problèmes ergodiques de la mécanique classique. Paris: Gauthier-Villars 1967.

    Google Scholar 

  3. Gottschalk, W. H., Hedlund, G. A.: Topological dynamics. A. M. S colloquium publications XXXVI, 1955.

  4. Hirsch, M. W., Pugh, C. C.: Stable manifolds and hyperbolic sets, in “Global Analysis”, proceedings of symposia in pure mathematics XIV, A.M.S., 1970.

  5. Moser, J.: On invariant curves of area-preserving mappings of an Annulus. Nachr. Akad. Wiss. Göttingen, Math.-Physik. Kl. IIa, Nr., 1, p. 1–20 (1962).

    Google Scholar 

  6. Palis, J.: On Morse-Smale dynamical systems. Topology8, 385–404 (1969).

    Google Scholar 

  7. Pugh, C. C.: The closing lemma. Amer. J. Math.89, 965–1009 (1967).

    Google Scholar 

  8. Pugh, C. C.: An improved closing lemma and a general density theorem. Amer. J. Math.89, 1010–1021 (1967).

    Google Scholar 

  9. Pugh, C. C.: The closing lemma for Hamiltonian systems., Proc. Internat. Congress Math. at Moscow, 1966.

  10. Robinson, R. C.: A global approximation theorem for Hamiltonian systems, in “Global Analysis”, proceedings of symposia in pure mathematics XIV, A. M. S., 1970.

  11. Robinson, R. C.: Generic properties of conservative systems. Amer. J. Math.92, 3, 562–603 (1970).

    Google Scholar 

  12. Robinson, R. C.: Generic properties of conservative systems II. Amer. J. Math.92, 4, 897–906 (1970).

    Google Scholar 

  13. Smale, S.: Differentiable dynamical systems. Bull. A.M.S.73, 747–817 (1967).

    Google Scholar 

  14. Smale, S.: Notes on differentiable dynamical systems, in “Global Analysis”, proceedings of symposia in pure mathematics XIV, A.M.S. 1970.

  15. Sternberg, S.: The structure of local diffeomorphisms III. Amer. J. Math.81, 578–604 (1959).

    Google Scholar 

  16. Takens, F.: Hamiltonian systems: generic properties of closed orbits and local perturbations. Mathematische Annalen188, 304–312 (1970).

    Google Scholar 

  17. Takens, F.: AC 1-counter example to Moser's Twist theorem. Indag. Math.,33, 379–386 (1971).

    Google Scholar 

  18. Whitney, H.: Analytic extensions of differentiable functions defined in closed sets. Trans. A.M.S.36, 63–89 (1934).

    Google Scholar 

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Authors and Affiliations

  1. Mathematisch Instituut, postbus 800, Groningen, The Netherlands

    Floris Takens

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  1. Floris Takens
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Research partially supported by the Netherlands Organization for the Advancement of Pure Research (Z.W.O.) at the Institut des Hautes Études Scientifiques in France.

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Takens, F. Homoclinic points in conservative systems. Invent Math 18, 267–292 (1972). https://doi.org/10.1007/BF01389816

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  • DOI: https://doi.org/10.1007/BF01389816

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