51 citations · 174 across the 11 of their papers we have counts for
3 papers · 1 filter
Neural models for prediction of spatially patterned phase transitions: methods and challenges
Daniel Dylewsky, Sonia Kéfi, Madhur Anand +1
Dryland vegetation ecosystems are known to be susceptible to critical transitions between alternative stable states when subjected to external forcing. Such transitions are often d…
Early Warning Signals for Bifurcations Embedded in High Dimensions
Daniel Dylewsky, Madhur Anand, Chris T. Bauch
Recent work has highlighted the utility of methods for early warning signal detection in dynamic systems approaching critical tipping thresholds. Often these tipping points resembl…
Principal component trajectories for modeling spectrally-continuous dynamics as forced linear systems
Daniel Dylewsky, Eurika Kaiser, Steven L. Brunton +1
Delay embeddings of time series data have emerged as a promising coordinate basis for data-driven estimation of the Koopman operator, which seeks a linear representation for observ…