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We introduce an extension to the standard reduction of oscillatory systems to a single phase variable. The standard reduction is often insufficient, particularly when the oscillations have variable amplitude and the magnitude of each…

Neurons and Cognition · Quantitative Biology 2024-11-12 Avinash J. Karamchandani

Machine learning and AI have achieved remarkable advancements but at the cost of significant computational resources and energy consumption. This has created an urgent need for a novel, energy-efficient computational fabric to replace the…

Computer Vision and Pattern Recognition · Computer Science 2025-02-12 Wenxiao Cai , Thomas H. Lee

Coupled parametric oscillators were recently employed as simulators of artificial Ising networks, with the potential to solve computationally hard minimization problems. We demonstrate a new dynamical regime within the simplest network -…

Volatile threshold resistive switching and neuronal oscillations in phase-change materials, specifically those undergoing metal-to-insulator transitions, offer unique attributes such as fast and low-field volatile switching, tunability, and…

Materials Science · Physics 2025-07-08 Huandong Chen , Jayakanth Ravichandran

Tremendous progress has been made in sequential processing with the recent advances in recurrent neural networks. However, recurrent architectures face the challenge of exploding/vanishing gradients during training, and require significant…

Neural and Evolutionary Computing · Computer Science 2021-10-13 Bing Han , Cheng Wang , Kaushik Roy

It is an intriguing concept to use oscillators as fundamental building blocks of electronic computers. The idea is not new, but is currently subject to intense research as a part of the quest for 'beyond Moore' electronic devices. In this…

Emerging Technologies · Computer Science 2018-05-24 Gyorgy Csaba , Wolfgang Porod

Networks of coupled dynamical systems provide a powerful way to model systems with enormously complex dynamics, such as the human brain. Control of synchronization in such networked systems has far reaching applications in many domains,…

Adaptation and Self-Organizing Systems · Physics 2018-03-21 Julien Gout , Markus Quade , Kamran Shafi , Robert K. Niven , Markus Abel

In pursuit of neuromorphic (brain-inspired) devices, memristors (memory-resistors) have emerged as effective components for emulating neuronal circuitry. Here we formally define a class of Simple Volatile Memristors (SVMs) based on a simple…

Soft Condensed Matter · Physics 2024-09-20 T. M. Kamsma , R. van Roij , C. Spitoni

Motivated by deep brain stimulation treatment of neural disorders such as Parkinson's disease, it has been proposed that desynchronization of neural oscillators can be achieved by maximizing the Lyapunov exponent of the phase difference…

Optimization and Control · Mathematics 2025-09-25 Jeff Moehlis , Michael Zimet , Faranak Rajabi

We study the dynamics of coupled oscillator networks with higher-order interactions and their ability to store information. In particular, the fixed points of these oscillator systems consist of two clusters of oscillators that become…

Adaptation and Self-Organizing Systems · Physics 2021-08-03 Per Sebastian Skardal , Alex Arenas

In this paper, we investigate the fundamental limits on how the inter- spike time of a neuron oscillator can be perturbed by the application of a bounded external control input (a current stimulus) with zero net electric charge…

Optimization and Control · Mathematics 2012-11-20 Isuru S. Dasanayake , Jr-Shin Li

Oscillation synchronization phenomenon is widely observed in natural systems through frequency modulated signals, especially in biological neural networks. Frequency modulation is also one of most widely used technologies in engineering.…

Optimization and Control · Mathematics 2021-08-17 Zhiyong Chen

Ensembles of phase-oscillators are known to exhibit a variety of collective regimes. Here, we show that a simple mean-field model involving two heterogenous populations of pulse-coupled oscillators, exhibits, in the strong-coupling limit, a…

Disordered Systems and Neural Networks · Physics 2024-07-12 German Mato , Antonio Politi , Alessandro Torcini

In this paper, we report new results on a novel Ising machine technology for solving combinatorial optimization problems using networks of coupled self-sustaining oscillators. Specifically, we present several working hardware prototypes…

Emerging Technologies · Computer Science 2019-04-24 Tianshi Wang , Leon Wu , Jaijeet Roychowdhury

Oscillators have two main limitations: their synchronization properties are limited (i.e they have a finite synchronization region) and they have no memory of past interactions (i.e. they return to their intrinsic frequency whenever the…

Dynamical Systems · Mathematics 2021-08-18 Ludovic Righetti , Jonas Buchli , Auke J. Ijspeert

Traditionally, physical models of associative memory assume conditions of equilibrium. Here, we consider a prototypical oscillator model of associative memory and study how active noise sources that drive the system out of equilibrium, as…

Disordered Systems and Neural Networks · Physics 2023-07-26 Matthew Du , Agnish Kumar Behera , Suriyanarayanan Vaikuntanathan

We investigate a system of coupled oscillators on the circle, which arises from a simple model for behavior of large numbers of autonomous vehicles. The model considers asymmetric, linear, decentralized dynamics, where the acceleration of…

Dynamical Systems · Mathematics 2014-10-08 Carlos E. Cantos , J. J. P. Veerman , David K. Hammond

Stochastic resonance is a counter-intuitive concept[1,2], ; the addition of noise to a noisy system induces coherent amplification of its response. First suggested as a mechanism for the cyclic recurrence of ice ages, stochastic resonance…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 R. L. Badzey , P. Mohanty

Frequency control in power networks is designed to maintain power balance by adjusting generation, what allows to keep frequency at its nominal value (i.e. 50 Hz). If power disturbance occurs, it leads to frequency oscillations and…

Optimization and Control · Mathematics 2019-08-13 Oleg O. Khamisov

We investigate parametric resonance in oscillator networks subjected to periodically time-varying oscillations in the edge strengths. Such models are inspired by the well-known parametric resonance phenomena for single oscillators, as well…

Systems and Control · Electrical Eng. & Systems 2024-06-18 Karthik Chikmagalur , Bassam Bamieh