Summary

Proceedings of the 2012 International Symposium on Nonlinear Theory and its Applications

2012

Session Number:B4L-A

Session:

Number:478

NOISE-INFLUENCED TRANSIENT ENERGY LOCALIZATION IN AN OSCILLATOR ARRAY

Edmon Perkins,  Chris Chabalko,  Balakumar Balachandran,  

pp.478-481

Publication Date:

Online ISSN:2188-5079

DOI:10.15248/proc.1.478

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Summary:
The effects of noise on transient energy localization in an array of coupled nonlinear oscillators are examined in this work. The oscillators in the considered arrays are identical to each other. Results obtained through simulations of deterministic systems are compared to those obtained through Euler-Maruyama scheme based simulations with 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 analyses, and the insights gained are discussed. Although this type of localization can be detrimental to the performance of a system, the intent of this study is to further our understanding of this behavior and use it for the benefit of a nonlinear system.

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