Nonperturebative stability analysis of periodic responses in driven nonlinear oscillators.

Authors: Thylwe, K.-E., Gravador, E.
Document Type: Article
Pubstate: Published
Journal: J. Sound. Vibr.
Year: 1994


A linear stability theory for non-linear periodic solutions is presented in which higher order phase-integral asymptotic approximations are used. The stability matrix is derived in an exact formalism which combines Floquet and phase-integral theory. The periodic responses are assumed given in analytic forms which are accurate in the strongly non-linear regime of system parameters.