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Article
Open AccessFractal basins as a mechanism for the nimble brain
An interesting feature of the brain is its ability to respond to disparate sensory signals from the environment in unique ways depending on the environmental context or current brain state. In dynamical system...
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Article
Open AccessInteraction networks from discrete event data by Poisson multivariate mutual information estimation and information flow with applications from gene expression data
In this work, we introduce a new methodology for inferring the interaction structure of discrete valued time series which are Poisson distributed. While most related methods are premised on continuous state st...
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Article
Open AccessNext generation reservoir computing
Reservoir computing is a best-in-class machine learning algorithm for processing information generated by dynamical systems using observed time-series data. Importantly, it requires very small training data se...
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Article
Open AccessSpontaneous emergence of leadership patterns drives synchronization in complex human networks
Synchronization of human networks is fundamental in many aspects of human endeavour. Recently, much research effort has been spent on analyzing how motor coordination emerges in human groups (from rocking chai...
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Article
Go With the Flow, on Jupiter and Snow. Coherence from Model-Free Video Data Without Trajectories
Viewing a data set such as the clouds of Jupiter, coherence is readily apparent to human observers, especially the Great Red Spot, but also other great storms and persistent structures. There are now many diff...
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Article
Open AccessInferring causation from time series in Earth system sciences
The heart of the scientific enterprise is a rational effort to understand the causes behind the phenomena we observe. In large-scale complex dynamical systems such as the Earth system, real experiments are rar...
