Summary
The paper explores the effect of parametric amplification on interface states in a mass-spring periodic chain system. Particularly, the existence of interface states in the presence of nonlinearity and the impact of parametric amplification is investigated for the case when a Mathieu-Duffing type oscillator at the interface is introduced. Change in dynamic behavior with increasing number of degrees of freedom and damping is studied. The incremental harmonic balance method (IHBM), given in general form and coupled with numerical continuation, is used as a tool for studying and solving a set of second-order differential equations.
