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Our focus is on finding perturbations that optimally increase the frequency or optimally suppress the decay of correlations of almost-cycles or almost-invariant sets associated with the eigenvalues of the kernel-smoothed transfer operator. We illustrate our approach with applications to low-dimensional periodic and chaotic systems, as well as a high-dimensional example involving the El Nino Southern Oscillation in a comprehensive Earth system model. In these examples our approach discovers nontrivial optimal perturbations of the system, which are post hoc natural and consistent with the desired dynamical objectives.
From: Dimitrios Giannakis [view email]
[v1]
Thu, 4 Jun 2026 21:25:28 UTC (22,892 KB)
[v2]
Wed, 17 Jun 2026 03:10:16 UTC (22,895 KB)
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