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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…
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…
Symmetry- and Input-Cluster Synchronization in Networks
Abu Bakar Siddique, Louis Pecora, Joe Hart +1
We study cluster synchronization in networks and show that the stability of all possible cluster synchronization patterns depends on a small set of Lyapunov exponents. Our approach…
Complete Characterization of Stability of Cluster Synchronization in Complex Dynamical Networks
Francesco Sorrentino, Louis M. Pecora, Aaron M. Hagerstrom +2
Synchronization is an important and prevalent phenomenon in natural and engineered systems. In many dynamical networks, the coupling is balanced or adjusted in order to admit globa…
Symmetries, Cluster Synchronization, and Isolated Desynchronization in Complex Networks
Louis M. Pecora, Francesco Sorrentino, Aaron M. Hagerstrom +2
Synchronization is of central importance in power distribution, telecommunication, neuronal, and biological networks. Many networks are observed to produce patterns of synchronized…
Enhancing Synchrony in Chaotic Oscillators by Dynamic Relaying
Ranjib Banerjee, Dibakar Ghosh, E. Padmanaban +3
In a chain of mutually coupled oscillators, the coupling threshold for synchronization between the outermost identical oscillators decreases when a type of impurity (in terms of pa…