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