288 citations · 1.1k across the 43 of their papers we have counts for
3 papers · 1 filter
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…
Using Noisy or Incomplete Data to Discover Models of Spatiotemporal Dynamics
Patrick A. K. Reinbold, Daniel R. Gurevich, Roman O. Grigoriev
Sparse regression has recently emerged as an attractive approach for discovering models of spatiotemporally complex dynamics directly from data. In many instances, such models are…
Robust and optimal sparse regression for nonlinear PDE models
Daniel R. Gurevich, Patrick A. K. Reinbold, Roman O. Grigoriev
This paper investigates how models of spatiotemporal dynamics in the form of nonlinear partial differential equations can be identified directly from noisy data using a combination…