Nonlinear Theory and Its Applications, IEICE
Online ISSN : 2185-4106
ISSN-L : 2185-4106
Special section on Nonlinear Vibration in Mechanical Systems and Its Control-from Nano to Macro-
Noise-influenced transient energy localization in an oscillator array
Edmon PerkinsChris ChabalkoBalakumar Balachandran
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2013 Volume 4 Issue 3 Pages 232-243

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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.

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© 2013 The Institute of Electronics, Information and Communication Engineers
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