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In this study, we use a reservoir computing based echo state network (ESN) to predict the collective burst synchronization of neurons. Specifically, we investigate the ability of ESN in predicting the burst synchronization of an ensemble of…

神经元与认知 · 定量生物学 2022-06-22 Mousumi Roy , Abhishek Senapati , Swarup Poria , Arindam Mishra , Chittaranjan Hens

We consider systems that are well modelled as a networks that evolve in time, which we call {\it Moving Neighborhood Networks}. These models are relevant in studying cooperative behavior of swarms and other phenomena where emergent…

混沌动力学 · 物理学 2007-05-23 Joseph D. Skufca , Erik M. Bollt

We describe a simple adaptive network of coupled chaotic maps. The network reaches a stationary state (frozen topology) for all values of the coupling parameter, although the dynamics of the maps at the nodes of the network can be…

适应与自组织系统 · 物理学 2015-06-19 V. Botella-Soler , P. Glendinning

We consider networks of coupled stochastic oscillators. When coupled we find strong collective oscillations, while each unit remains stochastic. In the limit (N\to \infty) we derive a system of integro-delay equations and show analytically…

统计力学 · 物理学 2007-05-23 B. Naundorf , T. Prager , L. Schimansky-Geier

We study the entanglement spectrum (ES) and entropy between two coupled Tomonaga-Luttinger liquids (TLLs) on parallel periodic chains. This problem gives access to the entanglement properties of various interesting systems, such as spin…

强关联电子 · 物理学 2014-01-10 Rex Lundgren , Yohei Fuji , Shunsuke Furukawa , Masaki Oshikawa

Dependency links in single-layer networks offer a convenient way of modeling nonlocal percolation effects in networked systems where certain pairs of nodes are only able to function together. We study the percolation properties of the weak…

统计力学 · 物理学 2021-03-16 Gábor Timár , György Kovács , José Fernando F. Mendes

Spontaneous synchronization is a general phenomenon in which a large population of coupled oscillators of diverse natural frequencies self-organize to operate in unison. The phenomenon occurs in physical and biological systems over a wide…

统计力学 · 物理学 2021-03-31 Shamik Gupta , Romain Bachelard , Tarcisio Rocha Filho

Despite their significant functional roles, beta-band oscillations are least understood. Synchronization in neuronal networks have attracted much attention in recent years with the main focus on transition type. Whether one obtains…

适应与自组织系统 · 物理学 2018-10-22 Mahsa Khoshkhou , Afshin Montakhab

A network of propagating nonlinear oscillatory modes (waves) in the human brain is shown to generate collectively synchronized spiking activity (hypersynchronous spiking) when both amplitude and phase coupling between modes are taken into…

生物物理 · 物理学 2021-04-28 Vitaly L. Galinsky , Lawrence R. Frank

We study the coupled dynamics of multilayer networks with symmetric (MLs) and asymmetric (MLas) inter-layer connections. The symmetric inter-layer connections arise from a one-to-one correspondence between the nodes of different layers. In…

物理与社会 · 物理学 2026-05-06 Aradhana Singh , Amod Rai , Sheksha Dudekula , Devanarayanan P , Antonio Palacios

The dynamics of coupled Stuart-Landau oscillators play a central role in the study of synchronization phenomena. Previous works have focused on linearly coupled oscillators in different configurations, such as all-to-all or generic complex…

斑图形成与孤子 · 物理学 2026-03-30 Wilfried Segnou , Riccardo Muolo , Marie Dorchain , Hiroya Nakao , Timoteo Carletti

In this work and the supporting Parts II [2] and III [3], we provide a rather detailed analysis of the stability and performance of asynchronous strategies for solving distributed optimization and adaptation problems over networks. We…

系统与控制 · 计算机科学 2014-12-17 Xiaochuan Zhao , Ali H. Sayed

The occurrence of abrupt dynamical transitions in the macroscopic state of a system has received growing attention. We present experimental evidence for abrupt transition via explosive synchronization in a real-world complex system, namely…

流体动力学 · 物理学 2023-09-18 Amal Joseph , Induja Pavithran , R. I. Sujith

The cooperative behavior of neurons and neuronal areas associated with the synchronization behavior proves to be a fundamental neural mechanism. In addition, abnormal levels of synchronization have been related to unhealthy neural…

生物物理 · 物理学 2023-11-16 Bruno R. R. Boaretto

We report erosion of synchronization in networks of coupled phase oscillators, a phenomenon where perfect phase synchronization is unattainable in steady-state, even in the limit of infinite coupling. An analysis reveals that the total…

适应与自组织系统 · 物理学 2015-06-23 Per Sebastian Skardal , Dane Taylor , Jie Sun , Alex Arenas

Percolation, the formation of a macroscopic connected component, is a key feature in the description of complex networks. The dynamical properties of a variety of systems can be understood in terms of percolation, including the robustness…

统计力学 · 物理学 2013-06-24 Shane Squires , Katherine Sytwu , Diego Alcala , Thomas Antonsen , Edward Ott , Michelle Girvan

Synchronization phenomena are pervasive in coupled nonlinear systems across the natural world and engineering domains. Understanding how to dynamically identify the parameter space (or network structure) of coupled nonlinear systems in a…

生物物理 · 物理学 2024-09-25 Yong Wu , Qianming Ding , Weifang Huang , Tianyu Li , Dong Yu , Ya Jia

Many real-world complex networks simultaneously exhibit topological features of scale-free behaviour and hierarchical organization. In this regard, deterministic scale-free [A.-L. Barab\'asi \etal, Physica A, 299, 3 (2001)] and…

物理与社会 · 物理学 2017-11-22 Chiranjit Mitra , Jürgen Kurths , Reik V. Donner

In burst-mode communication systems, the quality of frame synchronization (FS) at receivers significantly impacts the overall system performance. To guarantee FS, an extreme learning machine (ELM)-based synchronization method is proposed to…

信号处理 · 电气工程与系统科学 2020-02-19 Chaojin Qing , Wang Yu , Bin Cai , Jiafan Wang , Chuan Huang

This work introduces a methodology for studying synchronization in adaptive networks with heterogeneous plasticity (adaptation) rules. As a paradigmatic model, we consider a network of adaptively coupled phase oscillators with…

动力系统 · 数学 2021-06-25 Rico Berner , Serhiy Yanchuk