Dynamics of periodic solution to a electrostatic micro-electro-mechanical system

DOI10.1016/j.cnsns.2022.106828OpenAlexW4293569832MaRDI QIDQ2094446

Qigang Yuan, Zhibo Cheng, Xue-Ping Li

Publication date: 28 October 2022

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cnsns.2022.106828

zbMATH Keywords

bifurcationperiodic solutionsingularitymicro-electro-mechanical system

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Bifurcation theory for ordinary differential equations (34C23) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Qualitative investigation and simulation of ordinary differential equation models (34C60) Dynamical systems methods for problems in mechanics (70G60)

Uses Software

• AUTO2000

Cites Work

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• Periodic solution for nonlinear systems with \(p\)-Laplacian-like operators
• On the stability of periodic solutions with defined sign in MEMS via lower and upper solutions
• Positive periodic solution to a second-order differential equation with attractive-repulsive singularities
• Mathematical models with singularities. A zoo of singular creatures
• Numerical continuation methods for dynamical systems. Path following and boundary value problems.
• NONAUTONOMOUS SADDLE-NODE BIFURCATION IN A CANONICAL ELECTROSTATIC MEMS
• Bifurcations of a periodically forced microbial continuous culture model with restrained growth rate

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