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Collision orbits in the anisotropic Kepler problem

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References

  1. Alekseev, V.M.: Quasirandom dynamical systems I, II, III. Math. USSR-Sb.6, 489–498 (1969)

    Google Scholar 

  2. Conley, C., Easton, R.: Isolated invariant sets and isolating blocks. Trans. Amer. Math. Soc.158, 35–61 (1971)

    Google Scholar 

  3. Conley, C.: Some applications of topology in differential equations. Preprint, University of Wisconsin, Madison, Wisconsin

  4. Devaney, R.: Homoclinic orbits in Hamiltonian systems. J. Differential Equations21, 431–438 (1976)

    Google Scholar 

  5. Easton, R.: Isolating blocks and symbolic dynamics. J. Differential Equation17, 96–118 (1975)

    Google Scholar 

  6. Gutzwiller, M.C.: J. Mathematical Phys.8, 1979 (1967);10, 1004 (1969);11, 1971 (1970); and12, 343 (1971)

    Google Scholar 

  7. Gutzwiller, M.C.: The anisotropic Kepler problem in two dimensions. J. Mathematical Phys.14, 139–152 (1973)

    Google Scholar 

  8. Gutzwiller, M.C.: Bernoulli sequences and trajectories in the anisotropic Kepler problem. (To appear)

  9. Hirsch, M., Pugh, C., Shub, M.: Invariant manifolds. (To appear)

  10. McGehee, R.: Triple collision in the collinear three-body problem. Inventiones math.27, 191–227 (1974)

    Google Scholar 

  11. McGehee, R.: Double collisions for non-Newtonian potentials. (To appear)

  12. Moser, J.: Stable and random motions in dynamical systems. Princeton, N.J.: University Press 1973

    Google Scholar 

  13. Pollard, H.: Mathematical Introduction to Celestial Mechanics. Prentice Hall: Englewood Cliffs, N.J. 1966

    Google Scholar 

  14. Sacker, R.: A perturbation theorem for invariant manifolds and Hölder continuity. J. Math. Mech.18, 705–762 (1969)

    Google Scholar 

  15. Silnikov, L.P.: Soviet Math. Dokl.8, 54–58 (1967)

    Google Scholar 

  16. Smale, S.: Differentiable dynamical systems. Bull. Amer. Math. Soc.73, 747–817 (1967)

    Google Scholar 

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Partially supported by NSF Grant MPS 74-06731 A 01 at Northwestern University, Evanston, Illinois

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Devaney, R.L. Collision orbits in the anisotropic Kepler problem. Invent Math 45, 221–251 (1978). https://doi.org/10.1007/BF01403170

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