Proof of an Asymptotic Symmetry of the Rapidly Forced Pendulum

  • Yi-Hua Chang
Part of the NATO ASI Series book series (NSSB, volume 284)


This paper concerns with the split of a separatrix of a nonlinear pendulum by a small but rapid sinsusoidal forcing. A partial answer is given, with main result, road map and proof of δ-asymptotic expansion.


Partial Answer Perturbation Expansion Asymptotic Symmetry Chaotic Region Paper Concern 
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  1. [1]
    Y.Chang and H.Segur, An Asymptotic Symmetry of the Rapidly Forced qPendulum, forthcoming (accepted by Physica D). Google Scholar
  2. [2]
    All references in [1].Google Scholar
  3. [3]
    M.Kruskal and H.Segur, Asymptotics beyond all orders in a model of crystal growth, Stud. App. Math., to appear.Google Scholar
  4. [4]
    Yi-Hua Chang, Ph.D thesis, SUNY/Buffalo, expected 1991.Google Scholar
  5. [5]
    M. Kruskal, Asymptotic Theory of Hamiltonian and other Systems with all Solutions Nearly Periodic, J. Math. Phys. 3:806 (1962).MathSciNetADSMATHCrossRefGoogle Scholar

Copyright information

© Plenum Press, New York 1991

Authors and Affiliations

  • Yi-Hua Chang
    • 1
    • 2
  1. 1.Program in Applied MathematicsUniversity of ColoradoBoulderUSA
  2. 2.Department of MathematicsState University of New YorkBuffaloUSA

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