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20172022
most citedProbabilistic response and rare events in Mathieu's equation under correlated parametric excitation

34 citations · 57 across the 12 of their papers we have counts for

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physics.comp-ph2019

Learning the Tangent Space of Dynamical Instabilities from Data

Antoine Blanchard, Themistoklis P. Sapsis

For a large class of dynamical systems, the optimally time-dependent (OTD) modes, a set of deformable orthonormal tangent vectors that track directions of instabilities along any t…

physics.comp-ph2018

Data-Driven Forecasting of High-Dimensional Chaotic Systems with Long Short-Term Memory Networks

Pantelis R. Vlachas, Wonmin Byeon, Zhong Y. Wan +2

We introduce a data-driven forecasting method for high-dimensional chaotic systems using long short-term memory (LSTM) recurrent neural networks. The proposed LSTM neural networks…