Bifurcation of a Microelectromechanical Nonlinear Coupling System with Delay Feedback
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 o...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2014-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2014/752539 |
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| Summary: | 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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| ISSN: | 1110-757X 1687-0042 |