TY - GEN
T1 - Intrinsic localized modes in micro-scale oscillator arrays subjected to deterministic excitation and white noise
AU - Ramakrishnan, Subramanian
AU - Balachandran, Balakumar
N1 - Copyright:
Copyright 2021 Elsevier B.V., All rights reserved.
PY - 2010
Y1 - 2010
N2 - The authors study the influence of noise on an array of micro-scale oscillators with a focus on the phenomenon of intrinsic localized modes (ILMs). It is shown numerically that a white noise excitation, by itself, is unable to produce ILMs. However, under a combined deterministic and random excitation, a noise strength threshold is observed beyond which the ILM at one location in attenuated whilst the localization at another location is strengthened. The results motivate an analytical approach wherein the Fokker-Planck equation and approximate moment evolution equations are derived for a typical cell of the array. Numerical solutions of the moment equations suggest that once a localization event occurs in the array, an excitation with noise strength above a threshold value contributes to the persistence of the event. The reported results can form the basis for developing a fundamental understanding of the influence of noise on ILMs in coupled arrays of nonlinear oscillators including micro-scale oscillator arrays.
AB - The authors study the influence of noise on an array of micro-scale oscillators with a focus on the phenomenon of intrinsic localized modes (ILMs). It is shown numerically that a white noise excitation, by itself, is unable to produce ILMs. However, under a combined deterministic and random excitation, a noise strength threshold is observed beyond which the ILM at one location in attenuated whilst the localization at another location is strengthened. The results motivate an analytical approach wherein the Fokker-Planck equation and approximate moment evolution equations are derived for a typical cell of the array. Numerical solutions of the moment equations suggest that once a localization event occurs in the array, an excitation with noise strength above a threshold value contributes to the persistence of the event. The reported results can form the basis for developing a fundamental understanding of the influence of noise on ILMs in coupled arrays of nonlinear oscillators including micro-scale oscillator arrays.
KW - Intrinsic localized modes
KW - Micro-scale oscillators
KW - Nonlinear vibration
KW - White noise
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U2 - 10.1007/978-90-481-3771-8_33
DO - 10.1007/978-90-481-3771-8_33
M3 - Conference contribution
AN - SCOPUS:84861073208
SN - 9789048137701
T3 - IUTAM Bookseries
SP - 325
EP - 334
BT - IUTAM Symposium on Multi-Functional Material Structures and Systems - Proceedings of the IUTAM Symposium on Multi-Functional Material Structures and Systems
PB - Springer Verlag
T2 - IUTAM Symposium on Multi-Functional Material Structures and Systems
Y2 - 10 December 2008 through 12 December 2008
ER -