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Wiener–Haar Expansion for the Modeling and Prediction of the Dynamic Behavior of Self-Excited Nonlinear Uncertain Systems
16 references·1 citing·35 second hop
Wiener–Haar Expansion for the Modeling and Prediction of the Dynamic Behavior of Self-Excited Nonlinear Uncertain Systems (2012)Wiener–Haar Expansion for the Modeling an…Polynomial chaos-based parameter estimation methods applied to a vehicle system (2009)Polynomial chaos-based parame…Stability analysis of stochastic systems using polynomial chaos (2008)Stability analysis of stochas…Polynomial chaos expansion for sensitivity analysis (2008)Polynomial chaos expansion fo…Probabilistic collocation for period-1 limit cycle oscillations (2007)Probabilistic collocation for…Global sensitivity analysis using polynomial chaos expansions (2007)Global sensitivity analysis u…Distributional uncertainty analysis using power series and polynomial chaos expansions (2007)Distributional uncertainty an…Uncertainty quantification of limit-cycle oscillations (2006)Uncertainty quantification of…Spectral and multiresolution Wiener expansions of oscillatory stochastic processes (2006)Spectral and 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References

  • 1991Stochastic Finite Elements: A Spectral Approach5,753 cited
  • 2003Latin hypercube sampling and the propagation of uncertainty in analyses of complex systems2,707 cited
  • 2007Global sensitivity analysis using polynomial chaos expansions2,547 cited
  • 2008Polynomial chaos expansion for sensitivity analysis747 cited
  • 2005An adaptive multi-element generalized polynomial chaos method for stochastic differential equations578 cited
  • 2002Modeling uncertainty in steady state diffusion problems via generalized polynomial chaos552 cited
  • 2004Uncertainty propagation using Wiener–Haar expansions438 cited
  • 2007Distributional uncertainty analysis using power series and polynomial chaos expansions195 cited
  • 2006Uncertainty quantification of limit-cycle oscillations119 cited
  • 2006Application of polynomial chaos in stability and control119 cited
  • 2006Spectral and multiresolution Wiener expansions of oscillatory stochastic processes94 cited
  • 2006Polynomial chaos functions and stochastic differential equations69 cited
  • 2008Stability analysis of stochastic systems using polynomial chaos50 cited
  • 2007Probabilistic collocation for period-1 limit cycle oscillations50 cited
  • 2005Airfoil Pitch-and-Plunge Bifurcation Behavior with Fourier Chaos Expansions

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46 cited
  • 2009Polynomial chaos-based parameter estimation methods applied to a vehicle system34 cited
  • Cited by

    • 2013Wiener–Askey and Wiener–Haar Expansions for the Analysis and Prediction of Limit Cycle Oscillations in Uncertain Nonlinear Dynamic Friction Systems12 cited