154 citations · 633 across the 15 of their papers we have counts for
15 papers
Synchronizing Chaos using Reservoir Computing
Amirhossein Nazerian, Chad Nathe, Joseph D. Hart +1
We attempt to achieve isochronal synchronization between a drive system unidirectionally coupled to a response system, under the assumption that limited knowledge on the states of…
Estimating the master stability function from the time series of one oscillator via reservoir computing
Joseph D Hart
The master stability function (MSF) yields the stability of the globally synchronized state of a network of identical oscillators in terms of the eigenvalues of the adjacency matri…
Reservoir Computing with Noise
Chad Nathe, Chandra Pappu, Nicholas A. Mecholsky +3
This paper investigates in detail the effects of noise on the performance of reservoir computing. We focus on an application in which reservoir computers are used to learn the rela…
Time-shift selection for reservoir computing using a rank-revealing QR algorithm
Joseph D. Hart, Francesco Sorrentino, Thomas L. Carroll
Reservoir computing, a recurrent neural network paradigm in which only the output layer is trained, has demonstrated remarkable performance on tasks such as prediction and control…
Dark Current and Single Photon Detection by 1550nm Avalanche Photodiodes: Dead Time Corrected Probability Distributions and Entropy Rates
Nicole Menkart, Joseph D. Hart, Thomas E. Murphy +1
Single photon detectors have dark count rates that depend strongly on the bias level for detector operation. In the case of weak light sources such as novel lasers or single-photon…
Time Shifts to Reduce the Size of Reservoir Computers
Thomas L. Carroll, Joseph D. Hart
A reservoir computer is a type of dynamical system arranged to do computation. Typically, a reservoir computer is constructed by connecting a large number of nonlinear nodes in a n…
Machine Learning Link Inference of Noisy Delay-coupled Networks with Opto-Electronic Experimental Tests
Amitava Banerjee, Joseph D. Hart, Rajarshi Roy +1
We devise a machine learning technique to solve the general problem of inferring network links that have time-delays. The goal is to do this purely from time-series data of the net…
Laminar Chaos in experiments and nonlinear delayed Langevin equations: A time series analysis toolbox for the detection of Laminar Chaos
David Müller-Bender, Andreas Otto, Günter Radons +2
Recently, it was shown that certain systems with large time-varying delay exhibit different types of chaos, which are related to two types of time-varying delay: conservative and d…
Critical Switching in Globally Attractive Chimeras
Yuanzhao Zhang, Zachary G. Nicolaou, Joseph D. Hart +2
We report on a new type of chimera state that attracts almost all initial conditions and exhibits power-law switching behavior in networks of coupled oscillators. Such switching ch…
Topological Control of Synchronization Patterns: Trading Symmetry for Stability
Joseph D. Hart, Yuanzhao Zhang, Rajarshi Roy +1
Symmetries are ubiquitous in network systems and have profound impacts on the observable dynamics. At the most fundamental level, many synchronization patterns are induced by under…
Delayed Dynamical Systems: Networks, Chimeras and Reservoir Computing
Joseph D. Hart, Laurent Larger, Thomas E. Murphy +1
We present a systematic approach to reveal the correspondence between time delay dynamics and networks of coupled oscillators. After early demonstrations of the usefulness of spati…
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…
Experiments with arbitrary networks in time-multiplexed delay systems
Joseph D. Hart, Don C. Schmadel, Thomas E. Murphy +1
We report a new experimental approach using an optoelectronic feedback loop to investigate the dynamics of oscillators coupled on large complex networks with arbitrary topology. Ou…
Recommendations and illustrations for the evaluation of photonic random number generators
Joseph D. Hart, Yuta Terashima, Atsushi Uchida +3
The never-ending quest to improve the security of digital information combined with recent improvements in hardware technology has caused the field of random number generation to u…
Experimental observation of chimera and cluster states in a minimal globally coupled network
Joseph D. Hart, Kanika Bansal, Thomas E. Murphy +1
A "chimera state" is a dynamical pattern that occurs in a network of coupled identical oscillators when the symmetry of the oscillator population is broken into synchronous and asy…