Probabilistic characterization of nonlinear systems under Poisson white noise via complex fractional moments

A. Di Matteo; M. Di Paola; A. Pirrotta

doi:10.1007/s11071-014-1333-1

Probabilistic characterization of nonlinear systems under Poisson white noise via complex fractional moments

Nonlinear Dynamics ◽

10.1007/s11071-014-1333-1 ◽

2014 ◽

Vol 77 (3) ◽

pp. 729-738 ◽

Cited By ~ 12

Author(s):

A. Di Matteo ◽

M. Di Paola ◽

A. Pirrotta

Keyword(s):

Nonlinear Systems ◽

White Noise ◽

Poisson White Noise ◽

Probabilistic Characterization ◽

Fractional Moments

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Probabilistic characterization of nonlinear systems under Poisson white noise parametric input via complex fractional moments

ICFDA'14 International Conference on Fractional Differentiation and Its Applications 2014 ◽

10.1109/icfda.2014.6967409 ◽

2014 ◽

Author(s):

Alberto Di Matteo ◽

Antonina Pirrotta

Keyword(s):

Nonlinear Systems ◽

White Noise ◽

Poisson White Noise ◽

Probabilistic Characterization ◽

Fractional Moments

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Probabilistic characterization of nonlinear systems under α-stable white noise via complex fractional moments

Physica A Statistical Mechanics and its Applications ◽

10.1016/j.physa.2014.10.091 ◽

2015 ◽

Vol 420 ◽

pp. 265-276 ◽

Cited By ~ 10

Author(s):

G. Alotta ◽

M. Di Paola

Keyword(s):

Nonlinear Systems ◽

White Noise ◽

Probabilistic Characterization ◽

Fractional Moments

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Riesz fractional integrals and complex fractional moments for the probabilistic characterization of random variables

Probabilistic Engineering Mechanics ◽

10.1016/j.probengmech.2011.11.003 ◽

2012 ◽

Vol 29 ◽

pp. 149-156 ◽

Cited By ~ 18

Author(s):

Mario Di Paola ◽

Francesco Paolo Pinnola

Keyword(s):

Random Variables ◽

Fractional Integrals ◽

Probabilistic Characterization ◽

Fractional Moments

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Control of stationary probability density of nonlinear systems subject to Poisson white noise excitation

Journal of Vibration and Control ◽

10.1177/1077546312464261 ◽

2012 ◽

Vol 20 (3) ◽

pp. 323-329 ◽

Cited By ~ 2

Author(s):

CX Zhu ◽

WQ Zhu

Keyword(s):

Nonlinear Systems ◽

White Noise ◽

Probability Density ◽

Stationary Probability ◽

Poisson White Noise ◽

Stationary Probability Density ◽

White Noise Excitation

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Stochastic sensitivity analysis of nonautonomous nonlinear systems subjected to Poisson white noise

Chaos Solitons & Fractals ◽

10.1016/j.chaos.2017.09.014 ◽

2017 ◽

Vol 104 ◽

pp. 508-515 ◽

Cited By ~ 3

Author(s):

Yahui Sun ◽

Ling Hong ◽

Jun Jiang

Keyword(s):

Sensitivity Analysis ◽

Nonlinear Systems ◽

White Noise ◽

Poisson White Noise ◽

Stochastic Sensitivity ◽

Stochastic Sensitivity Analysis

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Probabilistic characterization of soil properties based on the maximum entropy method from fractional moments: model development, case study, and application

Reliability Engineering & System Safety ◽

10.1016/j.ress.2021.108218 ◽

2021 ◽

pp. 108218

Author(s):

Jian Deng

Keyword(s):

Soil Properties ◽

Maximum Entropy ◽

Maximum Entropy Method ◽

Model Development ◽

Entropy Method ◽

Probabilistic Characterization ◽

Fractional Moments

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Lyapunov exponents for nonlinear systems with Poisson white noise

Physics Letters A ◽

10.1016/0375-9601(96)00348-9 ◽

1996 ◽

Vol 217 (4-5) ◽

pp. 258-262 ◽

Cited By ~ 11

Author(s):

Mircea Grigoriu

Keyword(s):

Nonlinear Systems ◽

White Noise ◽

Lyapunov Exponents ◽

Poisson White Noise

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Poisson white noise parametric input and response by using complex fractional moments

Probabilistic Engineering Mechanics ◽

10.1016/j.probengmech.2014.07.003 ◽

2014 ◽

Vol 38 ◽

pp. 119-126 ◽

Cited By ~ 6

Author(s):

Alberto Di Matteo ◽

Mario Di Paola ◽

Antonina Pirrotta

Keyword(s):

White Noise ◽

Poisson White Noise ◽

Fractional Moments

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An improved path integration method for nonlinear systems under Poisson white noise excitation

Applied Mathematics and Computation ◽

10.1016/j.amc.2020.125036 ◽

2020 ◽

Vol 373 ◽

pp. 125036

Author(s):

Zhicong Ren ◽

Wei Xu

Keyword(s):

Nonlinear Systems ◽

White Noise ◽

Path Integration ◽

Integration Method ◽

Poisson White Noise ◽

White Noise Excitation ◽

Path Integration Method

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Probabilistic response of nonlinear systems under combined normal and Poisson white noise via path integral method

Probabilistic Engineering Mechanics ◽

10.1016/j.probengmech.2010.06.003 ◽

2011 ◽

Vol 26 (1) ◽

pp. 26-32 ◽

Cited By ~ 46

Author(s):

A. Pirrotta ◽

R. Santoro

Keyword(s):

Nonlinear Systems ◽

White Noise ◽

Path Integral ◽

Integral Method ◽

Poisson White Noise ◽

Probabilistic Response ◽

Path Integral Method

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