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  5. Stochastic response of van der Pol oscillator with two kinds of fractional derivatives under Gaussia

Stochastic response of van der Pol oscillator with two kinds of fractional derivatives under Gaussia

来源 :第十届全国动力学与控制学术会议 | 被引量 : 0次 | 上传用户：xrzs011
【摘 要】
：
This paper aims to investigate the stochastic response of van der Pol(VDP) oscillator withtwo kinds of fractional derivatives under Gaussian white noise excitation.First,the fractionalVDP oscillator i
【作 者】
：
YANG Yong-ge XU Wei SUN Ya-hui GU Xu-dong 
【机 构】
：
Department of Applied Mathematics,Northwestern Polytechnical University,Xi'an,710072,China
【出 处】
：
第十届全国动力学与控制学术会议
【发表日期】
：
2016年11期
【关键词】
：
stochastic averaging method fractional derivative van der Pol equivalent stochas 
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This paper aims to investigate the stochastic response of van der Pol(VDP) oscillator withtwo kinds of fractional derivatives under Gaussian white noise excitation.First,the fractionalVDP oscillator is replaced by an equivalent VDP oscillator without fractional derivative terms byusing the generalized harmonic balance technique.
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