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Neural oscillations can enhance feature recognition, modulate interactions between neurons, and improve learning and memory. Simulational studies have shown that coherent oscillations give rise to windows in time during which information…

Neurons and Cognition · Quantitative Biology 2014-10-07 Andrew T. Sornborger , Louis Tao

A system of ${N_{osc}}$ charged oscillators interacting with the electromagnetic field, spatially confined in a 3D lattice of sub-wavelength dimension, can condense into a superradiant coherent state if appropriate density and frequency…

General Physics · Physics 2023-10-24 L. Gamberale , G. Modanese

For atomic frequency standards in which fluctuations of the local oscillator (LO) frequency are the dominant noise source, we examine the role of the servo algorithm that predicts and corrects these frequency fluctuations. We derive the…

Coupling, synchronization, and non-linear dynamics of resonator modes are omnipresent in nature and highly relevant for a multitude of applications ranging from lasers to Josephson arrays and spin torque oscillators. Nanomechanical…

Mesoscale and Nanoscale Physics · Physics 2018-09-12 Matthias Pernpeintner , Philip Schmidt , Daniel Schwienbacher , Rudolf Gross , Hans Huebl

Physiological networks are usually made of a large number of biological oscillators evolving on a multitude of different timescales. Phase oscillators are particularly useful in the modelling of the synchronization dynamics of such systems.…

Adaptation and Self-Organizing Systems · Physics 2026-01-27 Melvyn Tyloo

Computing with coupled oscillators or oscillatory neural networks (ONNs) has recently attracted a lot of interest due to their potential for massive parallelism and energy-efficient computing. However, to date, ONNs have primarily been…

Hardware Architecture · Computer Science 2025-04-30 Bram Haverkort , Aida Todri-Sanial

Many combinatorial optimization problems can be mapped to finding the ground states of the corresponding Ising Hamiltonians. The physical systems that can solve optimization problems in this way, namely Ising machines, have been attracting…

Emerging Technologies · Computer Science 2017-10-16 Tianshi Wang , Jaijeet Roychowdhury

The slowing of Moore's law and the increasing energy demands of machine learning present critical challenges for both the hardware and machine learning communities, and drive the development of novel computing paradigms. Of particular…

Systems and Control · Electrical Eng. & Systems 2025-04-07 Taosha Guo , Arie Ogranovich , Arvind R. Venkatakrishnan , Madelyn R. Shapiro , Francesco Bullo , Fabio Pasqualetti

In this work, we experimentally demonstrate an integrated circuit (IC) of 30 relaxation oscillators with reconfigurable capacitive coupling to solve the NP-Hard Maximum Cut (Max-Cut) problem. We show that under the influence of an external…

We consider frequency fluctuations in self-sustained oscillators based on nonlinear underdamped resonators. An important type of such resonators are nano- and micro-electro-mechanical systems. Various noise sources are considered, with the…

Mesoscale and Nanoscale Physics · Physics 2021-01-20 N. J. Miller , S. W. Shaw , M. I. Dykman

Neural oscillations are universal phenomena and can be observed at different levels of neural systems, from single neuron to macroscopic brain. The frequency of those oscillations are related to the brain functions. However, little is know…

Neurons and Cognition · Quantitative Biology 2015-07-30 Lianchun Yu , Longfei Wang , Fei Jia , Duojie Jia

In this article I investigate the novel synchronization behaviors of evolving pulse-coupled oscillator networks. Unlike previous models, the time-varying mechanism is inspired by neural network development, where seldom used links die out…

Chaotic Dynamics · Physics 2014-04-15 Yuanzhao Zhang

Starting with an initial random network of oscillators with a heterogeneous frequency distribution, its autonomous synchronization ability can be largely improved by appropriately rewiring the links between the elements. Ensembles of…

Adaptation and Self-Organizing Systems · Physics 2015-05-18 Tatsuo Yanagita , Alexander S. Mikhailov

Neuromorphic networks of artificial neurons and synapses can solve computational hard problems with energy efficiencies unattainable for von Neumann architectures. For image processing, silicon neuromorphic processors outperform graphic…

Emerging Technologies · Computer Science 2018-11-08 Wei Yi , Kenneth K. Tsang , Stephen K. Lam , Xiwei Bai , Jack A. Crowell , Elias A. Flores

We investigate the predictive power of recurrent neural networks for oscillatory systems not only on the attractor, but in its vicinity as well. For this we consider systems perturbed by an external force. This allows us to not merely…

Adaptation and Self-Organizing Systems · Physics 2019-07-02 Rok Cestnik , Markus Abel

We explore a prototype of an oscillatory neural network (ONN) based on vanadium dioxide switching devices. The model system under study represents two oscillators based on thermally coupled VO2 switches. Numerical simulation shows that the…

Neural and Evolutionary Computing · Computer Science 2020-01-07 Andrei Velichko , Maksim Belyaev , Vadim Putrolaynen , Valentin Perminov , Alexander Pergament

The loss of synchronizability at large coupling strength is of major concern especially in the fields of secure communication and complex systems. Because theoretically, the coupling mode that can surely stabilize the chaotic/hyperchaotic…

Chaotic Dynamics · Physics 2018-01-08 Harpartap Singh

We investigate how correlations between the diversity of the connectivity of networks and the dynamics at their nodes affect the macroscopic behavior. In particular, we study the synchronization transition of coupled stochastic phase…

Disordered Systems and Neural Networks · Physics 2013-01-22 Bernard Sonnenschein , Francesc Sagués , Lutz Schimansky-Geier

Oscillators coupled in a network can synchronize with each other to yield a coherent population rhythm. If multiple such networks are coupled together, the question arises whether these rhythms will synchronize. We investigate the impact of…

Adaptation and Self-Organizing Systems · Physics 2016-12-22 John Hongyu Meng , Hermann Riecke

We study associative memory of an oscillator neural network with distributed native frequencies. The model is based on the use of the Hebb learning rule with random patterns ($\xi_i^{\mu}=\pm 1$), and the distribution function of native…

Disordered Systems and Neural Networks · Physics 2009-10-31 Michiko Yamana , Masatoshi Shiino , Masahiko Yoshioka