Resonance and chaos of micro and nano electro mechanical resonators with time delay feedback

DOI10.1016/J.APM.2019.10.047zbMath1481.70088OpenAlexW2982322966MaRDI QIDQ2174362

Chunxia Liu, Wenquan Wang, Yan Yan

Publication date: 21 April 2020

Published in: Applied Mathematical Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apm.2019.10.047

zbMATH Keywords

chaostime delayMelnikov functionmultiple scales methodMEMS/NEMS resonators

Mathematics Subject Classification ID

Feedback control (93B52) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Parametric resonances for nonlinear problems in mechanics (70K28) Multiple scale methods for ordinary differential equations (34E13)

Related Items (3)

Fast convergence control of a class of uncertain chaotic systems with input nonlinearity by using a new sliding mode controller ⋮ Onset of chaos in nano-resonators based on strain gradient theory: numerical analysis ⋮ Application of nonlocal continuum theory to the primary resonance analysis of an axially loaded nano beam under time delay control

Cites Work

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• The attitude control problem
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• A Novel Active Vibration Absorption Technique: Delayed Resonator
• Further passivity results for the attitude control problem
• The response of a parametrically excited van der Pol oscillator to a time delay state feedback

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