bifurcation of a microelectromechanical nonlinear coupling system with delay feedback
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ID: 150585
2014
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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.
| Reference Key |
li2014journalbifurcation
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|---|---|
| Authors | ;Yanqiu Li;Wei Duan;Shujian Ma;Pengfei Li |
| Journal | Chemico-biological interactions |
| Year | 2014 |
| DOI |
10.1155/2014/752539
|
| URL | |
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