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2014 Bifurcation of a Microelectromechanical Nonlinear Coupling System with Delay Feedback
Yanqiu Li, Wei Duan, Shujian Ma, Pengfei Li
J. Appl. Math. 2014: 1-6 (2014). DOI: 10.1155/2014/752539

Abstract

The dynamics of a kind of electromechanical coupling deformable micromirror device torsion micromirror with delay are investigated. Based on the distribution of eigenvalues, we prove that a sequence of Hopf bifurcation occurs at the equilibrium as the delay increases and obtain the critical values of Hopf bifurcation. Explicit algorithms for determining the direction of the Hopf bifurcation and the stability of the bifurcating periodic solutions are derived, using the theories of normal form and center manifold.

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Yanqiu Li. Wei Duan. Shujian Ma. Pengfei Li. "Bifurcation of a Microelectromechanical Nonlinear Coupling System with Delay Feedback." J. Appl. Math. 2014 1 - 6, 2014. https://doi.org/10.1155/2014/752539

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Published: 2014
First available in Project Euclid: 2 March 2015

Digital Object Identifier: 10.1155/2014/752539

Rights: Copyright © 2014 Hindawi

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