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math.DS2020★ 3 cited
Fast differentiation of hyperbolic chaos
Angxiu Ni
We derive and prove the `fast response' formula for the linear response, the parameter derivatives of long-time-averaged statistics, of hyperbolic deterministic chaotic systems. Th…
math.DS2020★ 4 cited
Approximating linear response by nonintrusive shadowing algorithms
Angxiu Ni
Nonintrusive shadowing algorithms efficiently compute , the difference between shadowing trajectories, then use to compute derivatives of averaged objectives of chaos with r…