Analysis of a quintic system with fractional damping in the presence of vibrational resonance

DOI10.1016/J.AMC.2017.11.028zbMath1426.34045OpenAlexW2774115985MaRDI QIDQ2423096

Zhi Yan, Wei Wang, Xian-bin Liu

Publication date: 21 June 2019

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2017.11.028

zbMATH Keywords

pitchfork bifurcationvibrational resonancefractional-order quintic systemmethod of direct partition of motionsnumerical algorithm based on Caputo derivative

Mathematics Subject Classification ID

Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Averaging method for ordinary differential equations (34C29) Nonlinear resonances for nonlinear problems in mechanics (70K30) Fractional ordinary differential equations (34A08)

Related Items (5)

Parametric vibrational resonance in a gyroscope driven by dual-frequency forces ⋮ Fractional-order harmonic resonance in a multi-frequency excited fractional Duffing oscillator with distributed time delay ⋮ Effect of parametric excitation on a bifractional-order damped system with a fractional-power nonlinearity ⋮ Vibrational Resonance in a Fractional Order Quintic Oscillator System with Time Delay Feedback ⋮ Bifurcation and resonance of fractional cubic nonlinear system

Uses Software

• Fractional Order Chaotic Systems

Cites Work

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