Abstract

We propose a scheme to induce intrinsic localized modes (ILMs) at an arbitrary site in microelectromechanical cantilever arrays. The idea is to locate the particular cantilever beam in the array that one wishes to drive to an oscillating state with significantly higher amplitude than the average and then apply small adjustments to the electrical signal that drives the whole array system. Our scheme is thus a global closed-loop control strategy. We argue that the dynamical mechanism on which our global driving scheme relies is spatiotemporal chaos and we develop a detailed analysis based on the standard averaging method in nonlinear dynamics to understand the working of our control scheme. We also develop a Markov model to characterize the transient time required for inducing ILMs.

Original languageEnglish (US)
Article number043139
JournalChaos
Volume20
Issue number4
DOIs
StatePublished - Dec 30 2010

Fingerprint

Intrinsic Localized Modes
Cantilever
Cantilever beams
Chaos theory
cantilever beams
Spatiotemporal Chaos
Cantilever Beam
chaos
Averaging Method
Closed-loop Control
adjusting
Nonlinear Dynamics
Markov Model
Control Strategy
Adjustment
Arbitrary

ASJC Scopus subject areas

  • Applied Mathematics
  • Physics and Astronomy(all)
  • Statistical and Nonlinear Physics
  • Mathematical Physics

Cite this

Controlled generation of intrinsic localized modes in microelectromechanical cantilever arrays. / Chen, Qingfei; Lai, Ying-Cheng; Dietz, David.

In: Chaos, Vol. 20, No. 4, 043139, 30.12.2010.

Research output: Contribution to journalArticle

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