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<p>This paper investigates the bifurcation of periodic solutions in a canonical mass-spring model of electrostatically actuated micro-electro-mechanical systems (MEMS). Our analysis provides a partial answer to an open problem proposed by Pedro J. Torres. In addition, by performing detailed numerical bifurcation analyses, including bifurcation diagrams, time-series plots, and phase portraits, we illustrate and validate the theoretical findings, thereby revealing the underlying dynamical mechanisms of the bifurcation phenomenon.</p>

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Bifurcation of Positive Periodic Solutions to Micro-Electro-Mechanical Systems

  • 期刊论文

  • 发表日期：

    2026年1月7日

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  • Zhibo Cheng,
  • Ruina Zhao,
  • Qigang Yuan

摘要

This paper investigates the bifurcation of periodic solutions in a canonical mass-spring model of electrostatically actuated micro-electro-mechanical systems (MEMS). Our analysis provides a partial answer to an open problem proposed by Pedro J. Torres. In addition, by performing detailed numerical bifurcation analyses, including bifurcation diagrams, time-series plots, and phase portraits, we illustrate and validate the theoretical findings, thereby revealing the underlying dynamical mechanisms of the bifurcation phenomenon.