Search Results for author: Daniel Dylewsky

Found 5 papers, 4 papers with code

Predicting discrete-time bifurcations with deep learning

1 code implementation16 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.

Universal Early Warning Signals of Phase Transitions in Climate Systems

1 code implementation31 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.

Sparse Identification of Slow Timescale Dynamics

1 code implementation1 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.

Clustering

Principal component trajectories for modeling spectrally-continuous dynamics as forced linear systems

1 code implementation28 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

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