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math.DS2022
Approximating linear response of physical chaos
Adam A. Sliwiak, Qiqi Wang
Parametric derivatives of statistics are highly desired quantities in prediction, design optimization and uncertainty quantification. In the presence of chaos, the rigorous computa…
math.DS2021★ 2 cited
Space-split algorithm for sensitivity analysis of discrete chaotic systems with unstable manifolds of arbitrary dimension
Adam A. Sliwiak, Qiqi Wang
Accurate approximations of the change of system's output and its statistics with respect to the input are highly desired in computational dynamics. Ruelle's linear response theory…
math.DS2021★ 5 cited
A trajectory-driven algorithm for differentiating SRB measures on unstable manifolds
Adam A. Sliwiak, Qiqi Wang
SRB measures are limiting stationary distributions describing the statistical behavior of chaotic dynamical systems. Directional derivatives of SRB measure densities conditioned on…