Bifurcation and dynamics of periodic solutions of MEMS model with squeeze film damping (Q6641266)

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scientific article; zbMATH DE number 7947284
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English
Bifurcation and dynamics of periodic solutions of MEMS model with squeeze film damping
scientific article; zbMATH DE number 7947284

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    Bifurcation and dynamics of periodic solutions of MEMS model with squeeze film damping (English)
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    20 November 2024
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    1. Clarity of Problem Statement: The introduction effectively highlights the significance of studying MEMS models with squeeze film damping. However, some parts of the problem statement could benefit from clearer phrasing to ensure accessibility for a broader audience. \N2. Novelty and Contribution: The paper addresses an open problem posed by Torres and provides a refined Ambrosetti-Prodi result for MEMS models. This contribution is significant but could benefit from a stronger emphasis on practical implications. \N3. Mathematical Rigor: The derivations and proofs are rigorous, but some sections, particularly in the numerical examples, could include more explanatory context to guide readers through complex equations. \N4. Figures and Visualization: The bifurcation diagrams and numerical simulations are well-presented, but additional annotations could enhance their interpretability. \N5. References to Related Work: The paper references relevant prior work but could expand on recent advancements in MEMS modeling to further contextualize its findings.
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    MEMS
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    singular differential equation
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    bifurcation
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    periodic solution
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