Global bifurcation curves of a regularized MEMS model

DOI10.1016/J.AML.2020.106688zbMath1455.34024OpenAlexW3049619678MaRDI QIDQ2006367

Ruixiang Xing, Xiaoqing Lao, Hongjing Pan

Publication date: 8 October 2020

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2020.106688

zbMATH Keywords

exact multiplicitybistabilityMEMSS-shaped bifurcation curvebifurcation surfacefold structure

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Positive solutions to nonlinear boundary value problems for ordinary differential equations (34B18) Parameter dependent boundary value problems for ordinary differential equations (34B08) Boundary eigenvalue problems for ordinary differential equations (34B09)

Related Items (2)

On the classification and evolution of bifurcation curves for a quasilinear regularized MEMS model ⋮ Ordering properties of positive solutions for a class of \(\varphi\)-Laplacian quasilinear Dirichlet problems

Cites Work

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• On the partial differential equations of electrostatic MEMS devices with effects of Casimir force
• Regularized model of post-touchdown configurations in electrostatic MEMS: Equilibrium analysis
• Global bifurcation and exact multiplicity of positive solutions for a positone problem with cubic nonlinearity and their applications
• Global Bifurcation of Steady-State Solutions on a Biochemical System
• S-shaped bifurcation curves
• Singular Perturbation Analysis of a Regularized MEMS Model

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