0
RESEARCH PAPERS

The Origin of Stability Indeterminacy in a Symmetric Hamiltonian

[+] Author and Article Information
M. R. Hyams, L. A. Month

Department of Mechanical Engineering, Etcheverry Hall, University of California, Berkeley, Calif. 94720

J. Appl. Mech 51(2), 399-405 (Jun 01, 1984) (7 pages) doi:10.1115/1.3167631 History: Received August 01, 1983; Revised September 01, 1983; Online July 21, 2009

Abstract

The stability and bifurcation of periodic motions in a symmetric two-degree-of-freedom Hamiltonian system is studied by a reduction to a two-dimensional action-angle phase plane, via canonical perturbation theory. The results are used to explain why linear stability analysis will always be indeterminate for the in-phase mode in a class of coupled nonlinear oscillators.

Copyright © 1984 by ASME
Your Session has timed out. Please sign back in to continue.

References

Figures

Tables

Errata

Discussions

Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In