Response of a fractional nonlinear system to harmonic excitation by the averaging method

In this work, we consider a fractional nonlinear vibration system of Duffing type with harmonic excitation by using the fractional derivative operator -∞−1Dαt and the averaging method. We derive the steady-state periodic response and the amplitude-frequency and phase-frequency relations. Jumping phe...

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Bibliographic Details
Main Authors: Duan Jun-Sheng, Huang Can, Liu Li-Li
Format: Article
Language:English
Published: De Gruyter 2015-02-01
Series:Open Physics
Subjects:
Online Access:http://www.degruyter.com/view/j/phys.2015.13.issue-1/phys-2015-0020/phys-2015-0020.xml?format=INT