Threshold for Chaos of a Duffing Oscillator with Fractional-Order Derivative

In this paper, the necessary condition for the chaotic motion of a Duffing oscillator with the fractional-order derivative under harmonic excitation is investigated. The necessary condition for the chaos in the sense of Smale horseshoes is established based on the Melnikov method, and then the chaot...

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Bibliographic Details
Main Authors: Wuce Xing, Enli Chen, Yujian Chang, Meiqi Wang
Format: Article
Language:English
Published: Hindawi Limited 2019-01-01
Series:Shock and Vibration
Online Access:http://dx.doi.org/10.1155/2019/1230194