Response analysis of a class of quasi-linear systems with fractional derivative excited by Poisson white noise

DOI10.1063/1.4958714zbMath1378.34023OpenAlexW2478088759WikidataQ50588419 ScholiaQ50588419MaRDI QIDQ4601342

Wei Xu, Yongge Yang, Guidong Yang, Wantao Jia

Publication date: 15 January 2018

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

Full work available at URL: https://doi.org/10.1063/1.4958714

Mathematics Subject Classification ID

Fractional processes, including fractional Brownian motion (60G22) Ordinary differential equations and systems with randomness (34F05) Qualitative investigation and simulation of ordinary differential equation models (34C60) Fractional ordinary differential equations (34A08)

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Bifurcation analysis of a noisy vibro-impact oscillator with two kinds of fractional derivative elements ⋮ Stochastic sensitivity analysis of nonautonomous nonlinear systems subjected to Poisson white noise

Cites Work

• Unnamed Item
• Bifurcation control of bounded noise excited Duffing oscillator by a weakly fractional-order \(PI^{\lambda} D^{\mu}\) feedback controller
• A method to stochastic dynamical systems with strong nonlinearity and fractional damping
• Analysis on limit cycle of fractional-order van der Pol oscillator
• Responses of Duffing oscillator with fractional damping and random phase
• Primary resonance of Duffing oscillator with fractional-order derivative
• Stochastic response of a class of self-excited systems with Caputo-type fractional derivative driven by Gaussian white noise
• Recent history of fractional calculus
• First-passage time statistics in a bistable system subject to Poisson white noise by the generalized cell mapping method
• Stochastic averaging of strongly nonlinear oscillators with small fractional derivative damping under combined harmonic and white noise excitations
• Stochastic linearization of dynamical systems under parametric Poisson white noise excitation
• Mittag-Leffler stability of fractional order nonlinear dynamic systems
• Response distribution of non-linear systems excited by non-Gaussian impulsive noise
• Stochastic response of a \(\phi^6\) oscillator subjected to combined harmonic and Poisson white noise excitations
• Chaos in Chen's system with a fractional order
• Stochastic averaging of quasi-partially integrable Hamiltonian systems under combined Gaussian and Poisson white noise excitations
• Stochastic dynamics and fractional optimal control of quasi integrable Hamiltonian systems with fractional derivative damping
• Continued fraction expansion approaches to discretizing fractional order derivatives-an expository review
• Stochastic Dynamics of Nonlinear Systems Driven by Non-normal Delta-Correlated Processes
• Delay-induced stochastic bifurcations in a bistable system under white noise