973 citations · 8k across the 125 of their papers we have counts for
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Attractor Reconstruction by Machine Learning
Zhixin Lu, Brian R. Hunt, Edward Ott
A machine-learning approach called "reservoir computing" has been used successfully for short-term prediction and attractor reconstruction of chaotic dynamical systems from time se…
Using Machine Learning to Replicate Chaotic Attractors and Calculate Lyapunov Exponents from Data
Jaideep Pathak, Zhixin Lu, Brian R. Hunt +2
We use recent advances in the machine learning area known as 'reservoir computing' to formulate a method for model-free estimation from data of the Lyapunov exponents of a chaotic…
Uncovering low dimensional macroscopic chaotic dynamics of large finite size complex systems
Per Sebastian Skardal, Juan G. Restrepo, Edward Ott
In the last decade it has been shown that a large class of phase oscillator models admit low dimensional descriptions for the macroscopic system dynamics in the limit of an infinit…
Nonlinear Wave Chaos: Statistics of Second Harmonic Fields
Min Zhou, Edward Ott, Thomas M. Antonsen +1
Concepts from the field of wave chaos have been shown to successfully predict the statistical properties of linear electromagnetic fields in electrically large enclosures. The Rand…
Modeling the Network Dynamics of Pulse-Coupled Neurons
Sarthak Chandra, David Hathcock, Kimberly Crain +3
We derive a mean-field approximation for the macroscopic dynamics of large networks of pulse-coupled theta neurons in order to study the effects of different network degree distrib…
Frequency assortativity can induce chaos in oscillator networks
Per Sebastian Skardal, Juan G. Restrepo, Edward Ott
We investigate the effect of preferentially connecting oscillators with similar frequency to each other in networks of coupled phase oscillators (i.e., frequency assortativity). Us…