1 code implementation • 16 Mar 2023 • Thomas M. Bury, Daniel Dylewsky, Chris T. Bauch, Madhur Anand, Leon Glass, Alvin Shrier, Gil Bub
Here, we train a deep learning classifier to provide an EWS for the five local discrete-time bifurcations of codimension-1.
1 code implementation • 31 May 2022 • Daniel Dylewsky, Timothy M. Lenton, Marten Scheffer, Thomas M. Bury, Christopher G. Fletcher, Madhur Anand, Chris T. Bauch
The potential for complex systems to exhibit tipping points in which an equilibrium state undergoes a sudden and often irreversible shift is well established, but prediction of these events using standard forecast modeling techniques is quite difficult.
no code implementations • 8 Oct 2020 • Daniel Dylewsky, David Barajas-Solano, Tong Ma, Alexandre M. Tartakovsky, J. Nathan Kutz
Time series forecasting remains a central challenge problem in almost all scientific disciplines.
1 code implementation • 1 Jun 2020 • Jason J. Bramburger, Daniel Dylewsky, J. Nathan Kutz
We show that for sufficiently disparate timescales this discovered mapping can be used to discover the continuous-time slow dynamics, thus providing a novel tool for extracting dynamics on multiple timescales.
1 code implementation • 28 May 2020 • Daniel Dylewsky, Eurika Kaiser, Steven L. Brunton, J. Nathan Kutz
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 observed nonlinear dynamics.
Computational Physics Systems and Control Systems and Control