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Synchronous firing of neurons is thought to play important functional roles such as feature binding and switching of cognitive states. Although synchronization has mainly been investigated using model neurons with simple connection topology…

Neurons and Cognition · Quantitative Biology 2024-11-26 Naoki Masuda , Kazuyuki Aihara

The extension of the master stability function (MSF) to analyze stability of generalized synchronization for coupled nearly identical oscillators is discussed. The nearly identical nature of the coupled oscillators comes from some parameter…

Chaotic Dynamics · Physics 2015-06-22 Suman Acharyya , R. E. Amritkar

Cluster synchronization in synthetic networks of coupled chaotic oscillators is investigated. It is found that despite the asymmetric nature of the network structure, a subset of the oscillators can be synchronized as a cluster while the…

Adaptation and Self-Organizing Systems · Physics 2024-05-16 Huawei Fan , Yafeng Wang , Yao Du , Haibo Qiu , Xingang Wang

We review the recent fast progress in statistical physics of evolving networks. Interest has focused mainly on the structural properties of random complex networks in communications, biology, social sciences and economics. A number of giant…

Statistical Mechanics · Physics 2015-06-24 S. N. Dorogovtsev , J. F. F. Mendes

Objective: In recent years, the functional connectivity of the human brain has been studied with graph theoretical tools. One such approach is community detection which is fundamental for uncovering the localized networks. Existing methods…

Signal Processing · Electrical Eng. & Systems 2022-09-27 Abdullah Karaaslanli , Meiby Ortiz-Bouza , Tamanna T. K. Munia , Selin Aviyente

From critical infrastructure, to physiology and the human brain, complex systems rarely occur in isolation. Instead, the functioning of nodes in one system often promotes or suppresses the functioning of nodes in another. Despite advances…

Statistical Mechanics · Physics 2019-02-20 Michael M. Danziger , Ivan Bonamassa , Stefano Boccaletti , Shlomo Havlin

Expressive efficiency refers to the relation between two architectures A and B, whereby any function realized by B could be replicated by A, but there exists functions realized by A, which cannot be replicated by B unless its size grows…

Machine Learning · Computer Science 2018-02-27 Or Sharir , Amnon Shashua

Error feedback (EF), also known as error compensation, is an immensely popular convergence stabilization mechanism in the context of distributed training of supervised machine learning models enhanced by the use of contractive communication…

Machine Learning · Computer Science 2021-06-10 Peter Richtárik , Igor Sokolov , Ilyas Fatkhullin

The requirement of high spectrum efficiency puts forward higher requirements on frame synchronization (FS) in wireless communication systems. Meanwhile, a large number of nonlinear devices or blocks will inevitably cause nonlinear…

Signal Processing · Electrical Eng. & Systems 2021-03-30 Chaojin Qing , Wang Yu , Shuhai Tang , Chuangui Rao , Jiafan Wang

Correlations are employed in modern physics to explain microscopic and macroscopic phenomena, like the fractional quantum Hall effect and the Mott insulator state in high temperature superconductors and ultracold atoms. Simultaneously…

Neurons and Cognition · Quantitative Biology 2013-02-20 Moritz Helias , Tom Tetzlaff , Markus Diesmann

We investigate the transition to synchronization in adaptive multilayer networks with higher-order interactions both analytically and numerically in the presence of phase frustration ($\beta$). The higher order topology consists of pairwise…

Adaptation and Self-Organizing Systems · Physics 2025-07-03 Anath Bandhu Das , Sangita Dutta , Pinaki Pal

We study the evolution of a random weighted network with complex nonlinear dynamics at each node, whose activity may cease as a result of interactions with other nodes. Starting from a knowledge of the micro-level behaviour at each node, we…

Statistical Mechanics · Physics 2007-05-23 Sitabhra Sinha , Sudeshna Sinha

We study fully synchronized states in scale-free networks of chaotic logistic maps as a function of both dynamical and topological parameters. Three different network topologies are considered: (i) random scale-free topology, (ii)…

Disordered Systems and Neural Networks · Physics 2009-11-10 Pedro G. Lind , Jason A. C. Gallas , Hans J. Herrmann

Non-Hermitian systems hosting exceptional points (EPs) exhibit signal enhancement and unconventional mode dynamics. Going beyond isolated EPs, here we report on the existence of exceptional rings (ERs) in planar optical resonators with…

We study the spreading of a disease on top of structured scale-free networks recently introduced. By means of numerical simulations we analyze the SIS and the SIR models. Our results show that when the connectivity fluctuations of the…

Statistical Mechanics · Physics 2009-11-07 Yamir Moreno , Alexei Vazquez

We study the synchronizability and the synchronization dynamics of networks of nonlinear oscillators. We investigate how the synchronization of the network is influenced by some of its topological features such as variations of the power…

Disordered Systems and Neural Networks · Physics 2007-12-08 Mario di Bernardo , Franco Garofalo , Francesco Sorrentino

In this Letter we identify the general rules that determine the synchronization properties of interconnected networks. We study analytically, numerically and experimentally how the degree of the nodes through which two networks are…

Physics and Society · Physics 2015-06-19 J. Aguirre , R. Sevilla-Escoboza , R. Gutiérrez , D. Papo , J. M. Buldú

Federated learning involves training machine learning models over devices or data silos, such as edge processors or data warehouses, while keeping the data local. Training in heterogeneous and potentially massive networks introduces bias…

Machine Learning · Computer Science 2021-06-18 Zichen Ma , Yu Lu , Zihan Lu , Wenye Li , Jinfeng Yi , Shuguang Cui

We propose a new paradigm to design a network-based self-adaptive epidemic model that relies on the interplay between the network and its line graph. We implement this proposal on a Susceptible-Infected-Susceptible model in which both nodes…

Adaptation and Self-Organizing Systems · Physics 2024-03-05 Paolo Bartesaghi , Gian Paolo Clemente , Rosanna Grassi

We perform experiments and phase model simulations with a ring network of oscillatory electrochemical reactions to explore the effect of random connections and non-isochronocity of the interactions on the pattern formation. A few additional…

Disordered Systems and Neural Networks · Physics 2016-03-23 Michael Sebek , Ralf Tönjes , István Z. Kiss
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