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.
On some aspects of the response to stochastic and deterministic forcings.Journal of Physics A: Mathematical and Theoretical, 55(42):425002, oct 2022
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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.