Bifurcation of a Microelectromechanical Nonlinear Coupling System with Delay Feedback | Zendy

Yanqiu Li | Zendy; Wei Duan | Zendy; Shujian Ma | Zendy; Pengfei Li | Zendy

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Bifurcation of a Microelectromechanical Nonlinear Coupling System with Delay Feedback

Author(s) -

Yanqiu Li,

Wei Duan,

Shujian Ma,

Pengfei Li

Publication year - 2014

Publication title -

journal of applied mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.307

H-Index - 43

eISSN - 1687-0042

pISSN - 1110-757X

DOI - 10.1155/2014/752539

Subject(s) - center manifold , hopf bifurcation , bifurcation , eigenvalues and eigenvectors , mathematics , nonlinear system , bifurcation diagram , mathematical analysis , control theory (sociology) , period doubling bifurcation , coupling (piping) , saddle node bifurcation , stability (learning theory) , transcritical bifurcation , pitchfork bifurcation , physics , computer science , quantum mechanics , materials science , control (management) , artificial intelligence , machine learning , metallurgy

The dynamics of a kind of electromechanical coupling deformable micromirrordevice torsion micromirror with delay are investigated. Based on the distributionof 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 thestability of the bifurcating periodic solutions are derived, using the theories ofnormal form and center manifold

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