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Discontinuity, Nonlinearity, and Complexity

Dimitry Volchenkov (editor), Dumitru Baleanu (editor)

Dimitry Volchenkov(editor)

Mathematics & Statistics, Texas Tech University, 1108 Memorial Circle, Lubbock, TX 79409, USA

Email: dr.volchenkov@gmail.com

Dumitru Baleanu (editor)

Cankaya University, Ankara, Turkey; Institute of Space Sciences, Magurele-Bucharest, Romania

Email: dumitru.baleanu@gmail.com


Nonlinear Behavior of a Micro-resonator with Electrostatic Force on Both Sides that is Described by a Duffing Type Oscillator

Discontinuity, Nonlinearity, and Complexity 11(4) (2022) 735--749 | DOI:10.5890/DNC.2022.12.011

L. Laskaridis, J.O. Maaita, E. Meletlidou

Physics Department, Aristotle University of Thessaloniki, Thessaloniki, Greece

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Abstract

A Duffing type oscillator simulates a micromechanical resonator with electrostatic force on both sides. The system, concerning the amplitude of the external excitation and the damping parameter, has rich dynamics that contain regular (periodic and semi- periodic) and chaotic oscillations. Melnikov's function proves the existence of homoclinic chaos.

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