Noise-influenced transient energy localization in an oscillator array

Abstract

The effects of noise on transient energy localization in a coupled array of nonlinear oscillators are examined. Results obtained through simulations of deterministic systems are compared to those obtained through Euler-Maruyama scheme based simulations of the corresponding stochastic systems. To complement the numerical studies, a Fokker-Planck formalism is also used to analyze the response of the system in the presence of noise. Transient localization phenomena are explored by using time-domain and time-frequency analysis, and the insights gained are discussed. The intent of this study is to further the understanding of related behavior and use it for the benefit of a nonlinear system.