The dynamics of a self-sustained electromechanical transducer is studied. The stability of the critical points is analyzed using the analytic Routh-Hurwitz criterion. Analytic oscillatory solutions are obtained in both the resonant and non-resonant cases. Chaotic behavior is observed using the Shilnikov theorem and from a direct numerical simulation of the equations of motion.
Shilnikov Chaos and Dynamics of a Self-Sustained Electromechanical Transducer
Contributed by the Technical Committee on Vibration and Sound for publication in the JOURNAL OF VIBRATION AND ACOUSTICS. Manuscript received July 1999; revised October 2000. Associate Editor: A. F. Vakakis.
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Chedjou, J. C., Woafo , P., and Domngang, S. (October 1, 2000). "Shilnikov Chaos and Dynamics of a Self-Sustained Electromechanical Transducer ." ASME. J. Vib. Acoust. April 2001; 123(2): 170–174. https://doi.org/10.1115/1.1350821
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