For nonautonomous systems with exponential loss of memory, the derivative of the time-dependent statistical state under a small perturbation is an explicit resolvent series on a sequence space.
A computable realization of Ru- elle’s formula for linear response of statistics in chaotic systems.arXiv e-prints, page arXiv:2002.04117, February 2020
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Ulam projections approximate equivariant families and linear responses for nonautonomous systems with memory loss and regularizing transfer operators.
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A Mathematical Framework for Linear Response Theory for Nonautonomous Systems
For nonautonomous systems with exponential loss of memory, the derivative of the time-dependent statistical state under a small perturbation is an explicit resolvent series on a sequence space.
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Ulam Approximation for Nonautonomous Systems: Equivariant Measures and Linear Response
Ulam projections approximate equivariant families and linear responses for nonautonomous systems with memory loss and regularizing transfer operators.