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Uncertainty analysis of limit cycle oscillations in nonlinear dynamical systems with the Fourier generalized Polynomial Chaos expansion
15 references·0 citing·34 second hop
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References

  • 1991Stochastic Finite Elements: A Spectral Approach5,753 cited
  • 2002The Wiener--Askey Polynomial Chaos for Stochastic Differential Equations4,821 cited
  • 2007Global sensitivity analysis using polynomial chaos expansions2,547 cited
  • 2010Numerical Methods for Stochastic Computations: A Spectral Method Approach1,107 cited
  • 2018Survey of Multifidelity Methods in Uncertainty Propagation, Inference, and Optimization1,072 cited
  • 2006Multi-Element Generalized Polynomial Chaos for Arbitrary Probability Measures498 cited
  • 2011On the convergence of generalized polynomial chaos expansions414 cited
  • 2015Chaospy: An open source tool for designing methods of uncertainty quantification336 cited
  • 2017Surrogate models for uncertainty quantification: An overview188 cited
  • 2006Uncertainty quantification of limit-cycle oscillations119 cited
  • 2009Analysis and implementation issues for the numerical approximation of parabolic equations with random coefficients88 cited
  • 2013Stochastic study of a non-linear self-excited system with friction48 cited
  • 2021An interval uncertainty propagation method using polynomial chaos expansion and its application in complicated multibody dynamic systems34 cited
  • 2010Prediction of stochastic limit cycle oscillations using an adaptive Polynomial Chaos method

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26 cited
  • 2014Prediction of limit cycle oscillations under uncertainty using a Harmonic Balance method24 cited
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