Energy localization and white noise-induced enhancement of response in a micro-scale oscillator array

摘要: In this work, the authors seek to develop an analytical framework understand influence of noise on array micro-scale oscillators with special attention phenomenon intrinsic localized modes (ILMs). It was recently shown by one and co-workers (Dick et al. in Nonlinear Dyn. 54:13, 2008) that ILMs can be realized as nonlinear vibration modes. Building it is here white excitation, itself, unable produce coupled oscillators. However, case subjected a combined deterministic random obtained numerical results indicate existence threshold strength beyond which ILM at location attenuated whilst localization strengthened another array. The further motivate formulation general wherein Fokker–Planck equation derived for typical oscillator cell excitation. With set approximations, moment evolution equations are from they numerically solved. These solutions once event occurs array, excitation above value contributes sustenance event. also observed higher enhanced response amplitudes center efforts presented paper, addition providing developing fundamental understanding dynamics arrays, suggest may potentially used manipulate formation persistence such arrays. Furthermore, occurrence due high indicates investigate stochastic resonance-type phenomena arrays including