1.6k citations · 3.1k across the 18 of their papers we have counts for
19 papers
Introduction to Focus Issue: Topics in Nonlinear Science
Elizabeth Bradley, Adilson E. Motter, Louis M. Pecora
Nonlinear science has evolved significantly over the 35 years since the launch of the journal Chaos. This Focus Issue, dedicated to the 80th Birthday of its founding editor-in-chie…
Statistics for Differential Topological Properties between Data Sets with an Application to Reservoir Computers
Louis Pecora, Thomas Carroll
It is common for researchers to record long, multiple time series from experiments or calculations. But sometimes there are no good models for the systems or no applicable mathemat…
Comment on "Synchronization dynamics in non-normal networks: the trade-off for optimality"
Takashi Nishikawa, Adilson E. Motter, Louis M. Pecora
A recent paper by R. Muolo, T. Carletti, J. P. Gleeson, and M. Asllani [Entropy 23, 36 (2021)] presents a mainly numerical study on the role of non-normality in the synchronization…
Reservoir Computers Modal Decomposition and Optimization
Chad Nathe, Enrico Del Frate, Thomas Carroll +3
The topology of a network associated with a reservoir computer is often taken so that the connectivity and the weights are chosen randomly. Optimization is hardly considered as the…
Controlling symmetries and clustered dynamics of complex networks
L. V. Gambuzza, M. Frasca, F. Sorrentino +2
Symmetries are an essential feature of complex networks as they regulate how the graph collective dynamics organizes into clustered states. We here show how to control network symm…
Symmetries and Cluster Synchronization in Multilayer Networks
F. Della Rossa, L. Pecora, K. Blaha +3
Real-world systems in epidemiology, social sciences, power transportation, economics and engineering are often described as multilayer networks. Here we first define and compute th…