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We study the evolution of heterogeneous networks of oscillators subject to a state-dependent interconnection rule. We find that heterogeneity in the node dynamics is key in organizing the architecture of the functional emerging networks. We…

适应与自组织系统 · 物理学 2015-07-27 Francesco Scafuti , Takaaki Aoki , Mario di Bernardo

We show that subsets of interacting oscillators may synchronize in different ways within a single network. This diversity of synchronization patterns is promoted by increasing the heterogeneous distribution of coupling weights and/or…

斑图形成与孤子 · 物理学 2017-04-05 Daniel Malagarriga , Alessandro E. P. Villa , Jordi García-Ojalvo , Antonio J. Pons

The purpose of this paper to analyze in some detail the arguably simplest case of diversity-induced reseonance: that of a system of globally-coupled linear oscillators subjected to a periodic forcing. Diversity appears as the parameters…

适应与自组织系统 · 物理学 2009-12-22 Raul Toral , Emilio Hernandez-Garcia , James D. Gunton

Realistic large-scale networks display an heterogeneous distribution of connectivity weights, that might also randomly vary in time. We show that depending on the level of heterogeneity in the connectivity coefficients, different…

数学物理 · 物理学 2012-09-13 Geoffroy Hermann , Jonathan Touboul

Self-organized network dynamics prevails for systems across physics, biology and engineering. How external signals generate distributed responses in networked systems fundamentally underlies their function, yet is far from fully understood.…

适应与自组织系统 · 物理学 2019-08-05 Xiaozhu Zhang , Sarah Hallerberg , Moritz Matthiae , Dirk Witthaut , Marc Timme

The onset of synchronization in networks of networks is investigated. Specifically, we consider networks of interacting phase oscillators in which the set of oscillators is composed of several distinct populations. The oscillators in a…

动力系统 · 数学 2009-11-13 Ernest Barreto , Brian Hunt , Edward Ott , Paul So

A widely held assumption on network dynamics is that similar components are more likely to exhibit similar behavior than dissimilar ones and that generic differences among them are necessarily detrimental to synchronization. Here, we show…

适应与自组织系统 · 物理学 2021-10-22 Yuanzhao Zhang , Jorge L. Ocampo-Espindola , István Z. Kiss , Adilson E. Motter

We study the response of an ensemble of synchronized phase oscillators to an external harmonic perturbation applied to one of the oscillators. Our main goal is to relate the propagation of the perturbation signal to the structure of the…

统计力学 · 物理学 2009-11-10 D. H. Zanette

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

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

Recurrently coupled oscillators that are sufficiently heterogeneous and/or randomly coupled can show an asynchronous activity in which there are no significant correlations among the units of the network. The asynchronous state can…

神经元与认知 · 定量生物学 2023-05-03 Jonas Ranft , Benjamin Lindner

We analyze the effect of small-amplitude noise and heterogeneity in a network of coupled excitable oscillators with strong time scale separation. Using mean-field analysis, we uncover the mechanism of a new nontrivial effect --…

适应与自组织系统 · 物理学 2022-09-05 Marius E. Yamakou , Els Heinsalu , Marco Patriarca , Stefano Scialla

Recent experiments have highlighted how collective dynamics in networks of brain regions affect behavior and cognitive function. In this paper we show that a simple, homogeneous system of densely connected oscillators representing the…

斑图形成与孤子 · 物理学 2013-05-31 Rajeev Singh , Shakti N. Menon , Sitabhra Sinha

Many natural systems including the brain comprise coupled non-uniformly stimulated elements. In this paper we show that heterogeneously driven networks of excitatory-inhibitory units exhibit striking collective phenomena, including…

适应与自组织系统 · 物理学 2016-03-23 Varsha Sreenivasan , Shakti N. Menon , Sitabhra Sinha

Does the assignment order of a fixed collection of slightly distinct subsystems into given communication channels influence the overall ensemble behavior? We discuss this question in the context of complex networks of non-identical…

适应与自组织系统 · 物理学 2015-09-30 Celso Freitas , Elbert Macau , Ricardo Luiz Viana

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

In this paper we focus on diversity-induced resonance, which was recently found in bistable, excitable and other physical systems. We study the appearance of this phenomenon in a purely economic model of cooperating and defecting agents.…

物理与社会 · 物理学 2015-06-11 Claudio J. Tessone , Angel Sánchez , Frank Schweitzer

Most complex systems are nonlinear, relying on emergent behavior from interacting subsystems, often characterized by oscillatory dynamics. Collective oscillatory behavior is essential for the proper functioning of many real world systems.…

适应与自组织系统 · 物理学 2024-07-03 Soumen Majhi , Biswambhar Rakshit , Amit Sharma , Jürgen Kurths , Dibakar Ghosh

Polymer chains decorated with a fraction of monomers capable of forming reversible bonds form transient polymer networks that are important in soft and biological systems. If chains are flexible and the attractive monomers are all of the…

软凝聚态物质 · 物理学 2023-10-18 Lorenzo Rovigatti , Francesco Sciortino

Many real-world systems can be modeled as networks of interacting oscillatory units. Collective dynamics that are of functional relevance for the oscillator network, such as switching between metastable states, arise through the interplay…

动力系统 · 数学 2019-08-05 Christian Bick
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