Dynamic Response of Systems of Mutually Synchronized Oscillators

Recent studies have established the sufficiency of certain rather broad conditions for the stability of linear synchronized networks, 1 and have shown that valid expressions for the equilibrium frequency of such systems can be obtained if initial conditions are taken into account. 2 Description of the transient response of such systems is of interest, but results for general configurations have not been obtained. This paper describes the results of studies of special configurations of systems of arbitrary size, and some tentative conclusions about more general configurations are suggested.