3 papers
nlin.PS2020
Deflation-based Identification of Nonlinear Excitations of the 3D Gross--Pitaevskii equation
N. Boullé, E. G. Charalampidis, P. E. Farrell +1
We present previously unknown solutions to the 3D Gross--Pitaevskii equation describing atomic Bose-Einstein condensates. This model supports elaborate patterns, including excited…
nlin.PS2019
Bifurcation analysis of stationary solutions of two-dimensional coupled Gross-Pitaevskii equations using deflated continuation
E. G Charalampidis, N. Boullé, P. E. Farrell +1
Recently, a novel bifurcation technique known as the deflated continuation method (DCM) was applied to the single-component nonlinear Schrödinger (NLS) equation with a parabolic tr…
eess.SP2019
Classification of chaotic time series with deep learning
Nicolas Boullé, Vassilios Dallas, Yuji Nakatsukasa +1
We use standard deep neural networks to classify univariate time series generated by discrete and continuous dynamical systems based on their chaotic or non-chaotic behaviour. Our…