Advertisement

Subharmonics in hamiltonian systems

  • K. R. Meyer
Conference paper
  • 248 Downloads
Part of the Lecture Notes in Mathematics book series (LNM, volume 144)

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. [1]
    G. D. Birkhoff, Dynamical Systems, Amer. Math. Soc. Coll. Publ. IX, 1927.Google Scholar
  2. [2]
    L. Cesari, Asymptotic Behavior and Stability Problems in Ordinary Differential Equations, Academic Press, 1963.Google Scholar
  3. [3]
    R. A. Gambill and J. K. Hale, Subharmonic and ultraharmonic solutions for weakly nonlinear systems, J. Rat. Mech., 5, 1956.Google Scholar
  4. [4]
    J. K. Hale, Oscillations in Nonlinear Systems McGraw-Hill, 1963.Google Scholar
  5. [5]
    K. R. Meyer, Generic bifurcation of periodic points, to appear in Trans. Amer. Math. Soc. Google Scholar
  6. [6]
    K. R. Meyer and J. I. Palmore, A new class of periodic solutions in restricted three body problem, to appear in J. Diff. Eqs.Google Scholar
  7. [7]
    H. Poincare', Les Methods Nouvelles de la Mécanique Celeste, tome 3, Gauthier-Villars, 1899.Google Scholar
  8. [8]
    T. Shimizu, On differential equations for non-linear oscillations, Mathematic Japonica, 2, 1951.Google Scholar

Copyright information

© Springer-Verlag 1970

Authors and Affiliations

  • K. R. Meyer

There are no affiliations available

Personalised recommendations