On the stability of periodic solutions with defined sign in MEMS via lower and upper solutions

DOI10.1016/j.nonrwa.2018.09.010zbMath1464.34062OpenAlexW2897058731WikidataQ129081262 ScholiaQ129081262MaRDI QIDQ1729224

Andrés Rivera, Daniel E. Nuñez, Oscar M. Perdomo

Publication date: 27 February 2019

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2018.09.010

zbMATH Keywords

periodic solutionssecond-order differential equationlower and upper solution methodcomb-drive finger modelNathanson's model

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Forced motions for nonlinear problems in mechanics (70K40) Stability of solutions to ordinary differential equations (34D20)

Related Items (6)

Periodic oscillations in MEMS under squeeze film damping force ⋮ On a bi-stability regime and the existence of odd subharmonics in a comb-drive MEMS model with cubic stiffness ⋮ Periodic oscillations in electrostatic actuators under time delayed feedback controller ⋮ Unnamed Item ⋮ Odd periodic oscillations in Comb-drive finger actuators ⋮ Dynamics of periodic solution to a electrostatic micro-electro-mechanical system

Cites Work

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• Dynamics of a canonical electrostatic MEMS/NEMS system
• Twist periodic solutions in the relativistic driven harmonic oscillator
• The method of lower and upper solutions and the stability of periodic oscillations
• Periodic solutions of twist type of an Earth satellite equation.
• Stable odd solutions of some periodic equations modeling satellite motion.
• Two-point boundary value problems. Lower and upper solutions
• NONAUTONOMOUS SADDLE-NODE BIFURCATION IN A CANONICAL ELECTROSTATIC MEMS
• Dynamics of electrostatic microelectromechanical systems actuators
• Twist Character of the Least Amplitude Periodic Solution of the Forced Pendulum

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