The existence of heteroclinic orbits, and applications

  • Charles C. Conley
  • Joel A. Smoller
III. Nonlinear Differential Equations
Part of the Lecture Notes in Physics book series (LNP, volume 38)


Stable Manifold Pointed Space Morse Index Morse Theory Heteroclinic Orbit 
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  1. [1]
    Churchill, R. C., Isolated invariant sets in compact metric spaces, J. Diff. Equa. 12, (1972), 330–352.Google Scholar
  2. [2]
    Conley, C. C., A generalization of the Morse index, Proc. NRL-MRC Conf., ed. by L. Weiss, Academic Press, N.Y., 1971.Google Scholar
  3. [3]
    Conley, C. C., and R. Easton, Isolated invariant sets and isolating blocks, Trans. Amer. Math. Soc., 158 (1971), 35–61.Google Scholar
  4. [4]
    Conley, C. C., and J. A. Smoller, Topological methods in the theory of shock waves, Partial Differential Equations, Proc. Symposia in Pure Math., XXIII, Amer. Math. Soc., Providence, (1973).Google Scholar
  5. [5]
    Conley, C. C., and J. A. Smoller, The structure of magnetohydrodynamic shock waves, Comm. Pure Appl. Math., 27 (1974), 367–375.Google Scholar
  6. [6]
    Conley, C. C., and J. A. Smoller, The structure of magneto-hydrodynamic shock waves,II, to appear.Google Scholar
  7. [7]
    Gelfand, I. M., Some problems in the theory of quasilinear equations, Usp. Mat. Nauk, 14 (1959), 87–158. Eng. Transl. in Amer. Math Soc. Transl. Ser. 2, No. 29 (1963), 295–381.Google Scholar
  8. [8]
    Germain, P., Contribution à la théorie des ondes de choc en magnetodynamique des fluides, O.N.E.R.A. Publ. No. 97 (1959), Paris.Google Scholar
  9. [9]
    Kulikovsky, A. G., and G. A. Liubimov, Magnetohydrodynamics, Addison-Wesley, Reading, Mass., 1965.Google Scholar
  10. [10]
    Montgomery, J. T. Cohomology of isolated invariant sets under perturbation, J. Diff. Equations, 13 (1973), 257–299.Google Scholar

Copyright information

© Springer-Verlag 1975

Authors and Affiliations

  • Charles C. Conley
    • 1
  • Joel A. Smoller
    • 2
  1. 1.University of WisconsinMadison
  2. 2.University of MichiganAnn Arbor

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