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Experimental exploration of synchronization in scalable oscillator micro systems has unfolded a deeper understanding of networks, collective phenomena, and signal processing. Cavity optomechanical devices have played an important role in…

Synchronization is known to play a vital role within many highly connected neural systems such as the olfactory systems of fish and insects. In this paper we show how one can robustly and effectively perform practical computations using…

Neurons and Cognition · Quantitative Biology 2007-05-23 Peter Ashwin , Jon Borresen

Several high specificity and sensitivity seizure prediction methods with convolutional neural networks (CNNs) are reported. However, CNNs are computationally expensive and power hungry. These inconveniences make CNN-based methods hard to be…

Neural and Evolutionary Computing · Computer Science 2022-08-25 Fengshi Tian , Jie Yang , Shiqi Zhao , Mohamad Sawan

For a class of coupled limit cycle oscillators, we give a condition on a linear coupling operator that is necessary and sufficient for exponential stability of the synchronous solution. We show that with certain modifications our method of…

Adaptation and Self-Organizing Systems · Physics 2010-02-24 Georgi S. Medvedev

Coupled oscillator networks often display transitions between qualitatively different phase-locked solutions -- such as synchrony and rotating wave solutions -- following perturbation or parameter variation. In the limit of weak coupling,…

Dynamical Systems · Mathematics 2025-10-10 Jorge L. Ocampo-Espindola , István Z. Kiss , Christian Bick , Kyle C. A. Wedgwood

The increasing complexity of neural networks and the energy consumption associated with training and inference create a need for alternative neuromorphic approaches, e.g. using optics. Current proposals and implementations rely on physical…

Optics · Physics 2023-08-31 Clara C. Wanjura , Florian Marquardt

Neuromorphic computing systems emulate the electrophysiological behavior of the biological nervous system using mixed-mode analog or digital VLSI circuits. These systems show superior accuracy and power efficiency in carrying out cognitive…

Systems and Control · Electrical Eng. & Systems 2025-03-26 Aadhitiya VS , Jani Babu Shaik , Sonal Singhal , Siona Menezes Picardo , Nilesh Goel

We show analytically using a macrospin approximation that easy-plane spin Hall nano-oscillators excited by a spin-current polarized perpendicularly to the easy-plane have phase dynamics analogous to that of Josephson junctions. Similarly to…

Disordered Systems and Neural Networks · Physics 2022-01-19 Danijela Marković , Matthew W. Daniels , Pankaj Sethi , Andrew D. Kent , Mark D. Stiles , Julie Grollier

Brain-inspired computing - leveraging neuroscientific principles underpinning the unparalleled efficiency of the brain in solving cognitive tasks - is emerging to be a promising pathway to solve several algorithmic and computational…

Emerging Technologies · Computer Science 2023-01-13 Kezhou Yang , Dhuruva Priyan G M , Abhronil Sengupta

Human cognition emerges from coordinated spiking dynamics in distributed neural circuits, where information is encoded via both firing rates and precise spike timing determined by brain rhythms. Inspired by this notion, we propose a…

Neurons and Cognition · Quantitative Biology 2026-05-05 Tingting Dan , Guorong Wu

Neuromorphic computing and spiking neural networks (SNN) mimic the behavior of biological systems and have drawn interest for their potential to perform cognitive tasks with high energy efficiency. However, some factors such as temporal…

Hardware Architecture · Computer Science 2021-05-10 Haowen Fang , Brady Taylor , Ziru Li , Zaidao Mei , Hai Li , Qinru Qiu

A novel splitting algorithm is proposed for the numerical simulation of neuromorphic circuits. The algorithm is grounded in the operator-theoretic concept of monotonicity, which bears both physical and algorithmic significance. The…

Systems and Control · Electrical Eng. & Systems 2025-05-29 Amir Shahhosseini , Thomas Chaffey , Rodolphe Sepulchre

In this work we present an in-memory computing platform based on coupled VO2 oscillators fabricated in a crossbar configuration on silicon. Compared to existing platforms, the crossbar configuration promises significant improvements in…

We show that the time-resolved dynamics of an underdamped harmonic oscillator can be used to do multifunctional computation, performing distinct computations at distinct times within a single dynamical trajectory. We consider the amplitude…

Statistical Mechanics · Physics 2024-09-24 Stephen Whitelam

Brain rhythms contribute to every aspect of brain function. Here, we study critical and resonance phenomena that precede the emergence of brain rhythms. Using an analytical approach and simulations of a cortical circuit model of neural…

Disordered Systems and Neural Networks · Physics 2015-06-12 A. V. Goltsev , M. A. Lopes , K. -E. Lee , J. F. F. Mendes

Explosive synchronization refers to an abrupt (first order) transition to non-zero phase order parameter in oscillatory networks, underpinned by the bistability of synchronous and asynchronous states. Growing evidence suggests that this…

Chaotic Dynamics · Physics 2023-11-20 Tetyana Laptyeva , Sarika Jalan , Mikhail Ivanchenko

Neuromorphic computing, inspired by biological neural systems, has emerged as a promising approach for ultra-energy-efficient data processing by leveraging analog neuron structures and spike-based computation. However, its application in…

Signal Processing · Electrical Eng. & Systems 2025-05-29 George N. Katsaros , Konstantinos Nikitopoulos

Analog computing at the edge is an emerging strategy to limit data storage and transmission requirements, as well as energy consumption, and its practical implementation is in its initial stages of development. Translating properties of…

Signal Processing · Electrical Eng. & Systems 2025-12-09 Giuseppe Leo , Paolo Gibertini , Irem Ilter , Erika Covi , Ole Richter , Elisabetta Chicca

The emergence of explosive synchronization has been reported as an abrupt transition in complex networks of first-order Kuramoto oscillators. In this Letter, we demonstrate that the nodes in a second-order Kuramoto model, perform a cascade…

Adaptation and Self-Organizing Systems · Physics 2015-06-15 Peng Ji , Thomas K. DM. Peron , Peter J. Menck , Francisco A. Rodrigues , Jürgen Kurths

Neuromorphic computing is at the basis of the recent progress in artificial intelligence. But the progress is accompanied with increasing demands in computational resources and power supply. Reservoir neuromorphic computing uses a…

Mesoscale and Nanoscale Physics · Physics 2025-12-01 Teng Long , Yibo Deng , Xuekai Ma , Chunling Gu , Guillaume Malpuech , Qing Liao , Hongbing Fu , Dmitry Solnyshkov