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Neuro-inspired computing architectures are one of the leading candidates to solve complex, large-scale associative learning problems. The two key building blocks for neuromorphic computing are the synapse and the neuron, which form the…

应用物理 · 物理学 2019-01-16 Boyang Zhao , Jayakanth Ravichandran

We propose a network of oscillators to retrieve given patterns in which the oscillators keep a fixed phase relationship with one another. In this description, the phase and the amplitude of the oscillators can be regarded as the timing and…

adap-org · 物理学 2009-10-22 Toshio Aoyagi

We derive optimal periodic controls for entrainment of a self-driven oscillator to a desired frequency. The alternative objectives of minimizing power and maximizing frequency range of entrainment are considered. A state space…

混沌动力学 · 物理学 2011-09-27 Anatoly Zlotnik , Jr-Shin Li

Recently, frequency security is challenged by high uncertainty and low inertia in power system with high penetration of Renewable Energy Sources (RES). In the context of Unit Commitment (UC) problems, frequency security constraints…

系统与控制 · 电气工程与系统科学 2023-08-22 Zhuoxuan Li , Zhongda Chu , Fei Teng

This work continues the analysis of complex dynamics in a class of bidimensional nonlinear hybrid dynamical systems with resets modeling neuronal voltage dynamics with adaptation and spike emission. We show that these models can generically…

As an essential building block for developing a large-scale brain-inspired computing system, we present a highly scalable and energy-efficient artificial neuron device composed of an Ovonic Threshold Switch (OTS) and a few passive…

无序系统与神经网络 · 物理学 2020-07-01 Milim Lee , Youngjo Kim , Seong Won Cho , Joon Young Kwak , Hyunsu Ju , Yeonjin Yi , Byung-ki Cheong , Suyoun Lee

Controlled disorder in correlated materials provides a new route to emergent stochastic dynamics in neuromorphic hardware. Here we show that focused ion beam irradiation in VO$_{2}$- and V$_{2}$O$_{3}$-based resistive-switching oscillators…

We study the noise characteristics of stochastic oscillations in protein number dynamics of simple genetic oscillatory systems. Using the three-component negative feedback transcription regulatory system called the repressilator as a…

分子网络 · 定量生物学 2015-03-13 Byungjoon Min , K. -I. Goh , I. -M. Kim

The exploration of deep neural networks for optimal control has gathered a considerable amount of interest in recent years. Here, we utilize deep reinforcement learning to control individual evolutions of coupled harmonic oscillators in an…

量子物理 · 物理学 2024-08-23 Sampreet Kalita , Amarendra K. Sarma

This book chapter describes the dynamics of a modulated oscillator for resonant and nonresonant modulation. Two types of resonant modulation are considered: additive, with frequency close to the oscillator eigenfrequency, and parametric,…

介观与纳米尺度物理 · 物理学 2011-12-13 M. I. Dykman

Pulse-coupled systems such as spiking neural networks exhibit nontrivial invariant sets in the form of attracting yet unstable saddle periodic orbits where units are synchronized into groups. Heteroclinic connections between such orbits may…

适应与自组织系统 · 物理学 2020-11-03 Fabio Schittler Neves , Marc Timme

Linear and nonlinear resonant states can be restrictive: they exist at particular discrete states in frequency and/or elasticity, under particular (e.g., simple-harmonic) waveforms. In forced oscillators, this restrictiveness is an obstacle…

系统与控制 · 电气工程与系统科学 2022-11-16 Arion Pons , Tsevi Beatus

Oscillatory activity is ubiquitous in natural and engineered network systems. The interaction scheme underlying interdependent oscillatory components governs the emergence of network-wide patterns of synchrony that regulate and enable…

适应与自组织系统 · 物理学 2022-08-12 Tommaso Menara , Giacomo Baggio , Danielle S. Bassett , Fabio Pasqualetti

Virtual Oscillator (VO) control is the latest and promising control technique for grid-forming and grid-supporting inverters. VO Controllers (VOCs) provide time-domain synchronization with a connected electrical network. At the same time, a…

系统与控制 · 电气工程与系统科学 2022-03-25 Ritwik Ghosh , Narsa Reddy Tummuru , Bharat Singh Rajpuohit

Entrainment experiments on the vertebrate segmentation clock have revealed that embryonic oscillators actively change their internal frequency to adapt to the driving signal. This is neither consistent with a one-dimensional clock model nor…

生物物理 · 物理学 2024-08-27 Christian Mauffette Denis , Paul François

Oscillator networks found in social and biological systems are characterized by the presence of wide ranges of coupling strengths and complex organization. Yet robustness and synchronization of oscillations are found to emerge on…

物理与社会 · 物理学 2019-12-17 Daniel Monsivais , Kunal Bhattacharya , Rafael A. Barrio , Philip K. Maini , Kimmo K. Kaski

In this paper, we focus on the emergence of diverse neuronal oscillations arising in a mixed population of neurons with different excitability properties. These properties produce mixed mode oscillations (MMOs) characterized by the…

适应与自组织系统 · 物理学 2020-05-07 Subrata Ghosh , Argha Mondal , Peng Ji , Arindam Mishra , Syamal Kumar Dana , Chris G. Antonopoulos , Chittaranjan Hens

We demonstrate the utility of machine learning algorithms for the design of Oscillatory Neural Networks (ONNs). After constructing a circuit model of the oscillators in a machine-learning-enabled simulator and performing Backpropagation…

无序系统与神经网络 · 物理学 2023-09-07 Tamas Rudner , Wolfgang Porod , Gyorgy Csaba

Substantial evidence indicates that the brain uses principles of non-linear dynamics in neural processes, providing inspiration for computing with nanoelectronic devices. However, training neural networks composed of dynamical nanodevices…

Highly oscillatory differential equations, commonly encountered in multi-scale problems, are often too complex to solve analytically. However, several numerical methods have been developed to approximate their solutions. Although these…

数值分析 · 数学 2026-01-21 Maxime Bouchereau