The Passage of Weakly Coupled Nonlinear Oscillators through Internal Resonance

Abstract

An asymptotic procedure for deriving equations governing the passage of a weakly coupled nonlinear system of oscillators is discussed. The procedure avoids an inner‐outer‐matching technique and is valid when the small coupling and detuning parameters are arbitrary. Resonance is permitted to occur at one or several instances of time or to last for a finite length of time. Numerical results are discussed.