Taming stochastic bifurcations in fractional-order systems via noise and delayed feedback

DOI10.1063/1.4997050zbMath1390.34223OpenAlexW2744428024WikidataQ47704591 ScholiaQ47704591MaRDI QIDQ4644273

Wei Xu, Xiaoli Yang, Zhongkui Sun, Jintian Zhang

Publication date: 30 May 2018

Published in: Chaos: An Interdisciplinary Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.4997050

Mathematics Subject Classification ID

Control problems involving ordinary differential equations (34H05) Ordinary differential equations and systems with randomness (34F05) Qualitative investigation and simulation of models involving functional-differential equations (34K60) Functional-differential equations with fractional derivatives (34K37) Bifurcation of solutions to ordinary differential equations involving randomness (34F10)

Related Items (8)

A novel stochastic bifurcation and its discrimination ⋮ Controlling Bifurcations in Fractional-Delay Systems with Colored Noise ⋮ Quenching oscillating behaviors in fractional coupled Stuart-Landau oscillators ⋮ Bifurcation analysis of a noisy vibro-impact oscillator with two kinds of fractional derivative elements ⋮ Stochastic bifurcations and its regulation in a Rijke tube model ⋮ Emergence of death islands in fractional-order oscillators via delayed coupling ⋮ Amplitude death islands in globally delay-coupled fractional-order oscillators ⋮ On stochastic response of fractional-order generalized birhythmic van der Pol oscillator subjected to delayed feedback displacement and Gaussian white noise excitation

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