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math.DS2025
Degree-of-freedom and optimization-dynamic effects on the observability of Kuramoto-Sivashinsky systems
Noah B. Frank, Joshua L. Pughe-Sanford, Samuel J. Grauer
Simulations of chaotic systems can only produce high-fidelity trajectories if the initial and boundary conditions are well specified. When these conditions are unknown but measurem…
math.DS2023★ 4 cited
Computing Chaotic Time-Averages from Few Periodic or Non-Periodic Orbits
Joshua L. Pughe-Sanford, Sam Quinn, Teodor Balabanski +1
For appropriately chosen weights, temporal averages in chaotic systems can be approximated as a weighted sum of averages over reference states, such as unstable periodic orbits. Un…