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A complex network processing information or physical flows is usually characterized by a number of macroscopic quantities such as the diameter and the betweenness centrality. An issue of significant theoretical and practical interest is how…

统计力学 · 物理学 2009-11-11 Xingang Wang , Ying-Cheng Lai , Chong Heng Lai

In a many body system, constituents interact with each other, forming a recursive pattern of interaction and giving rise to many interesting phenomena. Based upon concepts of the modern many body theory, a model for a generic many body…

生物物理 · 物理学 2007-05-23 Zhen Ye

The brain is characterized by a strong heterogeneity of inhibitory neurons. We report that spiking neural networks display a resonance to the heterogeneity of inhibitory neurons, with optimal input/output responsiveness occurring for levels…

神经元与认知 · 定量生物学 2021-09-30 Matteo di Volo , Alain Destexhe

Emergence is a pregnant property in various fields. It is the fact for a phenomenon to appear surprisingly and to be such that it seems at first sight that it is not possible to predict its apparition. That is the reason why it has often…

计算复杂性 · 计算机科学 2023-08-23 Hervé Zwirn

The temporal activity of many biological systems, including neural circuits, exhibits fluctuations simultaneously varying over a large range of timescales. The mechanisms leading to this temporal heterogeneity are yet unknown. Here we show…

无序系统与神经网络 · 物理学 2022-08-03 Merav Stern , Nicolae Istrate , Luca Mazzucato

The synchronization of loosely coupled chaotic oscillators, a phenomenon investigated intensively for the last two decades, may realize the philosophical notion of synchronicity. Effectively unpredictable chaotic systems, coupled through…

混沌动力学 · 物理学 2015-03-17 Gregory S. Duane

Previous study of cellular automata and random Boolean networks has shown emergent behavior occurring at the edge of chaos where the randomness (disorder) of internal connections is set to an intermediate critical value. The value at which…

元胞自动机与格子气 · 物理学 2023-04-17 Ron Fulbright

It has been said that complexity lies between order and disorder. In the case of brain activity, and physiology in general, complexity issues are being considered with increased emphasis. We sought to identify features of brain organization…

神经元与认知 · 定量生物学 2017-01-11 R. Guevara Erra , D. M. Mateos , R. Wennberg , J. L. Perez Velazquez

We demonstrate that chimera behavior can be observed in nonlocally coupled networks of excitable systems in the presence of noise. This phenomenon is distinct from classical chimeras, which occur in deterministic oscillatory systems, and it…

适应与自组织系统 · 物理学 2016-07-06 Nadezhda Semenova , Anna Zakharova , Vadim Anishchenko , Eckehard Schöll

Oscillators coupled in a network can synchronize with each other to yield a coherent population rhythm. If multiple such networks are coupled together, the question arises whether these rhythms will synchronize. We investigate the impact of…

适应与自组织系统 · 物理学 2016-12-22 John Hongyu Meng , Hermann Riecke

It is proposed that both human creativity and human consciousness are (unintended) consequences of the human brain's extraordinary energy efficiency. The topics of creativity and consciousness are treated separately, though have a common…

神经元与认知 · 定量生物学 2020-04-22 T. N. Palmer

The stable functionality of networked systems is a hallmark of their natural ability to coordinate between their multiple interacting components. Yet, strikingly, real-world networks seem random and highly irregular, apparently lacking any…

适应与自组织系统 · 物理学 2023-04-25 Chandrakala Meena , Chittaranjan Hens , Suman Acharyya , Simcha Haber , Stefano Boccaletti , Baruch Barzel

Over the last two decades, network science has greatly advanced our understanding of how the collective behaviors of a complex system emerge from the interactions among its basic units. Multiplex networks, i.e. networks with many layers,…

Extreme events such as earthquakes, floods, and power blackouts often display burst phenomena where multiple extreme events occur in quick succession or in bunches. This study examines bunching of extreme events on a complex network using a…

物理与社会 · 物理学 2025-09-24 Sarvesh K. Upadhyay , Vimal Kishore , Sanjay Kumar , R. E. Amritkar

To understand how certain dynamical behaviors can or cannot persist as the underlying network grows is a problem of increasing importance in complex dynamical systems as well as sustainability science and engineering. We address the…

适应与自组织系统 · 物理学 2016-01-07 Yafeng Wang , Huawei Fan , Ying-Cheng Lai , Xingang Wang

Random networks of symmetrically coupled, excitable elements can self-organize into coherently oscillating states if the networks contain loops (indeed loops are abundant in random networks) and if the initial conditions are sufficiently…

无序系统与神经网络 · 物理学 2015-05-19 Patrick McGraw , Michael Menzinger

A chaotic dynamics is typically characterized by the emergence of strange attractors with their fractal or multifractal structure. On the other hand, chaotic synchronization is a unique emergent self-organization phenomenon in nature.…

Biological information processing is often carried out by complex networks of interconnected dynamical units. A basic question about such networks is that of reliability: if the same signal is presented many times with the network in…

混沌动力学 · 物理学 2015-06-11 Guillaume Lajoie , Kevin K. Lin , Eric Shea-Brown

The emergence of large-scale connectivity and synchronization are crucial to the structure, function and failure of many complex socio-technical networks. Thus, there is great interest in analyzing phase transitions to large-scale…

物理与社会 · 物理学 2019-10-02 Raissa M. D'Souza , Jesus Gómez-Gardeñes , Jan Nagler , Alex Arenas

Emergence, where complex behaviors develop from the interactions of simpler components within a network, plays a crucial role in enhancing neural network capabilities. We introduce a quantitative framework to measure emergence during the…

机器学习 · 计算机科学 2024-09-04 Faisal AlShinaifi , Zeyad Almoaigel , Johnny Jingze Li , Abdulla Kuleib , Gabriel A. Silva