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.
2025 Markov matrix perturbations to optimize dynamical and entropy functionals.arXiv
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A kernel-based data-driven optimization method computes optimal perturbations to control the spectrum of transfer operators in high-dimensional dynamical systems.
Linear response formulas and optimal fingerprinting are extended to nonautonomous reference states, with numerical support from a stochastic Ghil-Sellers energy balance model.
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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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Data-driven methods for computation of optimal linear response in high-dimensional dynamical systems
A kernel-based data-driven optimization method computes optimal perturbations to control the spectrum of transfer operators in high-dimensional dynamical systems.
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Linear Response and Optimal Fingerprinting for Nonautonomous Systems
Linear response formulas and optimal fingerprinting are extended to nonautonomous reference states, with numerical support from a stochastic Ghil-Sellers energy balance model.