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nlin.CD2023
Uncertainty quantification of time-average quantities of chaotic systems using sensitivity-enhanced polynomial chaos expansion
George Papadakis, Kyriakos D. Kantarakias
We consider the effect of multiple stochastic parameters on the time-average quantities of chaotic systems. We employ the recently proposed \cite{Kantarakias_Papadakis_2023} sensit…
nlin.CD2022★ 10 cited
Sensitivity analysis of chaotic systems using a frequency-domain shadowing approach
Kyriakos D. Kantarakias, George Papadakis
We present a frequency-domain method for computing the sensitivities of time-averaged quantities of chaotic systems with respect to input parameters. Such sensitivities cannot be c…