Bifurcation of positive periodic solutions to Micro-electro-mechanical systems

Bifurcation of positive periodic solutions to Micro-electro-mechanical systems | Authorea try { document.documentElement.classList.add('js'); } catch (e) { } var _gaq = _gaq || []; _gaq.push(['_setAccount', 'G-8VDV14Y67G']); _gaq.push(['_trackPageview']); (function() { var ga = document.createElement('script'); ga.type = 'text/javascript'; ga.async = true; ga.src = ('https:' == document.location.protocol ? 'https://ssl' : 'http://www') + '.google-analytics.com/ga.js'; var s = document.getElementsByTagName('script')[0]; s.parentNode.insertBefore(ga, s); })(); Skip to main content Preprints Collections Wiley Open Research IET Open Research Ecological Society of Japan All Collections About About Authorea FAQs Contact Us Quick Search anywhere Search for preprint articles, keywords, etc. Search Search ADVANCED SEARCH SCROLL This is a preprint and has not been peer reviewed. Data may be preliminary. 11 March 2025 V1 Latest version Share on Bifurcation of positive periodic solutions to Micro-electro-mechanical systems Authors : Zhibo Cheng 0000-0001-5719-4895 , Ruina Zhao , and Qigang Yuan 0000-0002-2646-8723 [email protected] Authors Info & Affiliations https://doi.org/10.22541/au.174170895.55330935/v1 Published Qualitative Theory of Dynamical Systems Version of record Peer review timeline 161 views 128 downloads Contents Abstract Supplementary Material Information & Authors Metrics & Citations View Options References Figures Tables Media Share Abstract In this paper, we study a canonical mass-spring electrostatically actuated Micro electro-mechanical systems (MEMS) model. We investigate the Ambrosetti-Prodi bifurcation phenomena of periodic solutions and analyze the dynamical behavior as the parameter varies continuously. The main results partially address the open problem posed by Torres and provide theoretical support for the stability analysis and design of MEMS devices. Further, through numerical bifurcation analysis, we provide bifurcation diagrams, time series and phase diagrams to reveal the key results. Supplementary Material File (mems.pdf) Download 996.26 KB Information & Authors Information Version history V1 Version 1 11 March 2025 Peer review timeline Published Qualitative Theory of Dynamical Systems Version of Record 7 Jan 2026 Published Copyright This work is licensed under a Non Exclusive No Reuse License. Keywords ambrosetti-prodi type result bifurcation degree theory mems Authors Affiliations Zhibo Cheng 0000-0001-5719-4895 Henan Polytechnic University View all articles by this author Ruina Zhao Henan Polytechnic University View all articles by this author Qigang Yuan 0000-0002-2646-8723 [email protected] North China University of Water Resources and Electric Power View all articles by this author Metrics & Citations Metrics Article Usage 161 views 128 downloads .FvxKWukQNSOunydq8rnd { width: 100px; } Citations Download citation Zhibo Cheng, Ruina Zhao, Qigang Yuan. Bifurcation of positive periodic solutions to Micro-electro-mechanical systems. Authorea . 11 March 2025. DOI: https://doi.org/10.22541/au.174170895.55330935/v1 If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download. 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