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Scale-free networks are ubiquitous in social, biological and technological networked systems. Dynamic Scale-free networks and their synchronizations are important to understand and predict the behavior of social, biological and…

社会与信息网络 · 计算机科学 2024-09-16 Rakib Hassan Pran

Networks of Kuramoto oscillators with a positive correlation between the oscillators frequencies and the degree of the their corresponding vertices exhibits the so-called explosive synchronization behavior, which is now under intensive…

适应与自组织系统 · 物理学 2015-03-02 Rafael S. Pinto , Alberto Saa

We study synchronization dynamics of a population of pulse-coupled oscillators. In particular, we focus our attention in the interplay between networks topological disorder and its synchronization features. Firstly, we analyze…

统计力学 · 物理学 2009-10-31 X. Guardiola , A. Diaz-Guilera , M. Llas , C. J. Perez

We show that the unavoidable increase in neuronal response latency to ongoing stimulation serves as a nonuniform gradual stretching of neuronal circuit delay loops and emerges as an essential mechanism in the formation of various types of…

神经元与认知 · 定量生物学 2012-12-07 Roni Vardi , Reut Timor , Shimon Marom , Moshe Abeles , Ido Kanter

The structure of many real-world systems is best captured by networks consisting of several interaction layers. Understanding how a multi-layered structure of connections affects the synchronization properties of dynamical systems evolving…

物理与社会 · 物理学 2016-11-17 Charo I. del Genio , Jesús Gómez-Gardeñes , Ivan Bonamassa , Stefano Boccaletti

In this paper we study a model of synchronization process on scale free networks with degree-degree correlations. This model was already studied on this kind of networks without correlations by Pastore y Piontti {\it et al.}, Phys. Rev. E…

物理与社会 · 物理学 2012-02-15 Cristian E. La Rocca , Lidia A. Braunstein , Pablo A. Macri

In the past few years, the discoveries of small-world and scale-free properties of many natural and artificial complex networks have stimulated significant advances in better understanding the relationship between the topology and the…

无序系统与神经网络 · 物理学 2009-09-29 Xiang Li

Synchronization of coupled dynamical systems is a widespread phenomenon in both biological and engineered networks, and understanding this behavior is crucial for controlling such systems. Considerable research has been dedicated to…

混沌动力学 · 物理学 2023-07-04 Fatou K. Ndow , Zahra Aminzare

We introduce a condition for an ensemble of networked phase oscillators to feature an abrupt, first-order phase transition from an unsynchronized to a synchronized state. This condition is met in a very wide spectrum of situations, and for…

无序系统与神经网络 · 物理学 2014-02-14 I. Leyva , I. Sendiña-Nadal , J. Almendral , A. Navas , M. Zanin , D. Papo , J. M. Buldú , S. Boccaletti

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

We develop the theory of sparse multiplex networks with partially overlapping links based on their local tree-likeness. This theory enables us to find the giant mutually connected component in a two-layer multiplex network with arbitrary…

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

This paper studies synchronization in coupled nonlinear dynamic networks with unknown parameters. Adaptation can be added to one or several elements in the network, while preserving the global synchronization conditions derived in…

适应与自组织系统 · 物理学 2007-05-23 Wei Wang , Jean-Jacques E. Slotine

A model for epidemics on an adaptive network is considered. Nodes follow an SIRS (susceptible-infective-recovered-susceptible) pattern. Connections are rewired to break links from non-infected nodes to infected nodes and are reformed to…

种群与进化 · 定量生物学 2009-11-13 Leah B. Shaw , Ira B. Schwartz

Synchronization processes in populations of locally interacting elements are in the focus of intense research in physical, biological, chemical, technological and social systems. The many efforts devoted to understand synchronization…

物理与社会 · 物理学 2009-09-29 Alex Arenas , Albert Diaz-Guilera , Jurgen Kurths , Yamir Moreno , Changsong Zhou

Synchronization is central to many complex systems in engineering physics (e.g., the power-grid, Josephson junction circuits, and electro-chemical oscillators) and biology (e.g., neuronal, circadian, and cardiac rhythms). Despite these…

适应与自组织系统 · 物理学 2017-01-13 Dane Taylor , Per Sebastian Skardal , Jie Sun

This study investigates the dynamics of a globally coupled network of heterogeneous FitzHugh Nagumo (FHN) oscillators under stochastic influences, with particular emphasis on the emergence of extreme events (EE). While previous studies…

混沌动力学 · 物理学 2025-12-11 S. Hariharan , R. Suresh , V. K. Chandrasekar

Synchronization is critical for system level behaviour in physical, chemical, biological and social systems. Empirical evidence has shown that the network topology strongly impacts the synchronizablity of the system, and the analysis of…

社会与信息网络 · 计算机科学 2021-11-24 Mengbang Zou , Weisi Guo

Quantifying synchronization phenomena based on the timing of events has recently attracted a great deal of interest in various disciplines such as neuroscience or climatology. A multitude of similarity measures has been proposed for this…

数据分析、统计与概率 · 物理学 2026-02-24 Adrian Odenweller , Reik V. Donner

We explore the interplay of network structure, topology, and dynamic interactions between nodes using the paradigm of distributed synchronization in a network of coupled oscillators. As the network evolves to a global steady state,…

无序系统与神经网络 · 物理学 2015-06-04 Kristina Lerman , Rumi Ghosh