2004•The Proceedings of the Dynamics & Design ConferenceOpen access

620 Bifurcation of Equilibria in Electromechanical Systems

Hikaru Takamatsu, Toshihiko Sugiura

Abstract

Electromechanical systems can show nonlinear dynamics which is often accompanied by bifurcation. This research investigates bifurcation of equilibrium points and structural stability in a fundamental electromechanical system by doing analysis and experiment. The system has three patterns which differ in arrangement of permanent magnets and an electromagnet. Experiment and analysis of free vibration show us pitchfork, transcritical and saddle-node bifurcation caused by changing current of the electromagnet. We also confirmed structural stability of the saddle-node bifurcation by considering effects of perturbations.

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Key concepts: Bifurcation, Pitchfork bifurcation, Saddle-node bifurcation, Biological applications of bifurcation theory, Electromagnet, Transcritical bifurcation, Nonlinear system, Control theory (sociology)