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Synchronization of networked oscillators is known to depend fundamentally on the interplay between the dynamics of the graph's units and the microscopic arrangement of the network's structure. For non identical elements, the lack of…

适应与自组织系统 · 物理学 2016-01-20 A. Navas , J. A. Villacorta-Atienza , I. Leyva , J. A. Almendral , I. Sendiña-Nadal , S. Boccaletti

We present an adaptive coupling strategy to induce hysteresis/explosive synchronization (ES) in complex networks of phase oscillators Sakaguchi-Kuramoto model). The coupling strategy ensures explosive synchronization with significant…

适应与自组织系统 · 物理学 2021-04-15 Pitambar Khanra , Prosenjit Kundu , Pinaki Pal , Peng Ji , Chittaranjan Hens

We report the emergence of explosive synchronization in a multiplex network where oscillators on the first layer are coupled with attractive coupling and those on the second layer, coupled with repulsive coupling. With Stuart-Landau and…

适应与自组织系统 · 物理学 2022-09-07 Umesh Kumar Verma , G. Ambika

We study the effect of network topology on the collective dynamics of an oscillator ensemble. Specifically, we explore explosive synchronization in a system of interacting star networks. Explosive synchronization is characterized by an…

混沌动力学 · 物理学 2024-05-22 Ruby Varshney , Kaustubh Manchanda , Haider Hasan Jafri

It has been recently reported that explosive synchronization transitions can take place in networks of phase oscillators [G\'omez-Garde\~nes \emph{et al.} Phys.Rev.Letts. 106, 128701 (2011)] and chaotic oscillators [Leyva \emph{et al.}…

无序系统与神经网络 · 物理学 2015-06-04 Hanshuang Chen , Feng Huang , Chuansheng Shen , Zhonghuai Hou

Percolation and synchronization are two phase transitions that have been extensively studied since already long ago. A classic result is that, in the vast majority of cases, these transitions are of the second-order type, i.e. continuous…

适应与自组织系统 · 物理学 2017-01-04 S. Boccaletti , J. A. Almendral , S. Guan , I. Leyva , Z. Liu , I. Sendiña-Nadal , Z. Wang , Y. Zou

Coupling frequently enhances noise-induced coherence and synchronization in interacting nonlinear systems, but it does so separately. In principle collective stochastic coherence and synchronizability are incompatible phenomena, since…

适应与自组织系统 · 物理学 2015-06-17 Pablo Balenzuela , Pau Rué , Stefano Boccaletti , Jordi García-Ojalvo

Synchronization is an important collective phenomenon in interacting oscillatory agents. Many functional features of the brain are related to synchronization of neurons. The type of synchronization transition that may occur (explosive vs.…

无序系统与神经网络 · 物理学 2020-03-18 Mahsa Khoshkhou , Afshin Montakhab

We investigate transition to synchronization in Sakaguchi-Kuramoto (SK) model on complex networks analytically as well as numerically. Natural frequencies of a percentage ($f$) of higher degree nodes of the network are assumed to be…

适应与自组织系统 · 物理学 2019-02-20 Prosenjit Kundu , Pinaki Pal

Extended Self-Similarity (ESS) is a widely used tool for uncovering universal power-law scaling in systems dominated by nonlinear interactions. This work demonstrates that ESS scaling can also emerge in a system governed by purely linear…

光学 · 物理学 2026-01-27 Mengxin Wu , Ziye Chen , Guang Yang , Mingshu Zhao

Cluster synchronisation is a key phenomenon observed in networks of coupled dynamical units. Its presence has been linked to symmetry and, more generally, to equability of the underlying pattern of interactions between dynamical units.…

Co-evolutionary adaptive mechanisms are not only ubiquitous in nature, but also beneficial for the functioning of a variety of systems. We here consider an adaptive network of oscillators with a stochastic, fitness-based, rule of…

物理与社会 · 物理学 2016-06-08 Young-Ho Eom , Stefano Boccaletti , Guido Caldarelli

Inter-layer synchronization is a dynamical state occurring in multi-layer networks composed of identical nodes. The state corresponds to have all layers synchronized, with nodes in each layer which do not necessarily evolve in unison. So…

适应与自组织系统 · 物理学 2016-10-06 I. Leyva , R. Sevilla-Escoboza , I. Sendiña-Nadal , R. Gutiérrez , J. M. Buldú , S. Boccaletti

In this paper, we investigate how the internal dynamics of the systems within a network influence the transition to synchronization in adaptive networks of coupled Rossler systems. The network structure is dynamically determined by local…

We study the emergence of synchronization in scale-free networks by considering the Kuramoto model of coupled phase oscillators. The natural frequencies of oscillators are assumed to be correlated with their degrees and a time delay is…

统计力学 · 物理学 2012-03-07 Thomas Kauê Dal'Maso Peron , Francisco Aparecido Rodrigues

We consider an excitatory random network of leaky integrate-and-fire pulse coupled neurons. The neurons are connected as in a directed Erd\"os-Renyi graph with average connectivity $<k>$ scaling as a power law with the number of neurons in…

无序系统与神经网络 · 物理学 2012-08-28 Lorenzo Tattini , Simona Olmi , Alessandro Torcini

The study of network synchronization has attracted increasing attention recently. In this paper, we strictly define a class of networks, namely effective networks, which are synchronizable and orientable networks. We can prove that all the…

统计力学 · 物理学 2010-05-04 Tao Zhou , Ming Zhao , Changsong Zhou

We analyze the interplay of synchronization and structure evolution in an evolving network of phase oscillators. An initially random network is adaptively rewired according to the dynamical coherence of the oscillators, in order to enhance…

统计力学 · 物理学 2007-09-27 Pablo M. Gleiser , Damián H. Zanette

We analyze experimentally and theoretically the response of a network of spiking nodes to external perturbations. The experimental system consists of an array of semiconductor lasers that are adaptively coupled through an optoelectronic…

适应与自组织系统 · 物理学 2024-12-16 S. Barland , O. D'Huys , R. Veltz

In this paper, we investigate the development of generalized synchronization (GS) on typical complex networks, such as scale-free networks, small-world networks, random networks and modular networks. By adopting the auxiliary-system…

混沌动力学 · 物理学 2009-11-13 Shuguang Guan , Xingang Wang , Xiaofeng Gong , Kun Li , C. -H. Lai