2022
DOI: 10.1142/s0218127422500973
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Stochastic P-Bifurcation Analysis of Fractional Smooth and Discontinuous Oscillator with an Extended Fast Method

Abstract: In this paper, stochastic bifurcations of a fractional-order smooth and discontinuous (SD) oscillator composed of different viscoelastic materials are studied. As a widely applicable algorithm for various fractional-orders cases, an extended fast algorithm is introduced to obtain the statistics of the response, where the fractional derivative is separated into a history part and a local part with a predetermined memory length. The local part is approximated by a highly accurate algorithm while the history part… Show more

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Cited by 3 publications
(1 citation statement)
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“…In practice, the dynamical systems and control are often affected by stochastic environment (Lei et al, 2017;Liu et al, 2022aLiu et al, , 2022bWang et al, 2021;Yuan et al, 2022). Thus, the effect of stochastic environment on performance of nonlinear energy harvesters has also been studied extensively (Gammaitoni et al, 2009;Perc, 2007;Perc et al, 2008).…”
Section: Introductionmentioning
confidence: 99%
“…In practice, the dynamical systems and control are often affected by stochastic environment (Lei et al, 2017;Liu et al, 2022aLiu et al, , 2022bWang et al, 2021;Yuan et al, 2022). Thus, the effect of stochastic environment on performance of nonlinear energy harvesters has also been studied extensively (Gammaitoni et al, 2009;Perc, 2007;Perc et al, 2008).…”
Section: Introductionmentioning
confidence: 99%