114 citations · 410 across the 25 of their papers we have counts for
3 papers · 1 filter
Analysis of chaotic dynamical systems with autoencoders
N. Almazova, G. D. Barmparis, G. P. Tsironis
We focus on chaotic dynamical systems and analyze their time series with the use of autoencoders, i.e., configurations of neural networks that map identical output to input. This a…
Dynamical symmetry breaking through AI: The dimer self-trapping transition
G. P. Tsironis, G. D. Barmparis, D. K. Campbell
The nonlinear dimer obtained through the nonlinear Schr{ö}dinger equation has been a workhorse for the discovery the role nonlinearity plays in strongly interacting systems. While…
Discovering nonlinear resonances through physics-informed machine learning
G. D. Barmparis, G. P. Tsironis
For an ensemble of nonlinear systems that model, for instance, molecules or photonic systems, we propose a method that finds efficiently the configuration that has prescribed trans…