Bifurcations of a micro-electromechanical nonlinear coupling system

Autor: Qunhong Li, Jiezhen Xi, Cuncai Hua
Rok vydání: 2011
Předmět:
Zdroj: Communications in Nonlinear Science and Numerical Simulation. 16:769-775
ISSN: 1007-5704
DOI: 10.1016/j.cnsns.2010.04.018
Popis: The dynamical behavior of a micro-electromechanical nonlinear coupling system – deformable micromirror device, is investigated in this paper. In the literature some nonlinear phenomena have been explored by using the numerical method, and saddle-node bifurcation and periodic motions were discovered numerically. Overcoming the obstacle of the unsolvable of the equilibrium points, we analytically obtain the number and stability of the equilibrium points of the system discussed. The saddle-node bifurcation is obtained through the analytic method. Further, both codimension two bifurcations are revealed by the rigorous analysis. Finally, numerical simulations are in good agreement with the theoretical analysis.
Databáze: OpenAIRE