Dynamical response of Mathieu-Duffing oscillator with fractional-order delayed feedback

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• 作者：Shao-Fang Wen^a ; Yong-Jun Shen^b ; ^{shenyongjun@126.com} ; Shao-Pu Yang^b ; Jun Wang^b
• 关键词：Fractional-order derivative ; Mathieu&ndash ; Duffing oscillator ; Time delay ; Averaging method
• 刊名：Chaos, Solitons & Fractals
• 出版年：2017
• 出版时间：January 2017
• 年：2017
• 卷：94
• 期：Complete
• 页码：54-62
• 全文大小：802 K
• 卷排序：94

文摘

The analytical solution for Mathieu–Duffing oscillator with fractional-order delayed feedback is obtained. The fractional-order delayed feedback has both the functions of delayed velocity feedback and delayed displacement feedback. The special effects of time delay on nonzero periodic solutions are analyzed in detail. The effects of the fractional-order parameters on system response are characterized.