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


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
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