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Related papers: Synchronization processes in complex networks

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We study the relationship between topological scales and dynamic time scales in complex networks. The analysis is based on the full dynamics towards synchronization of a system of coupled oscillators. In the synchronization process, modular…

Disordered Systems and Neural Networks · Physics 2009-11-11 Alex Arenas , Albert Diaz-Guilera , Conrad J. Perez-Vicente

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…

Physics and Society · Physics 2009-09-29 Alex Arenas , Albert Diaz-Guilera , Jurgen Kurths , Yamir Moreno , Changsong Zhou

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,…

Disordered Systems and Neural Networks · Physics 2015-06-04 Kristina Lerman , Rumi Ghosh

The emergence of synchronization in a network of coupled oscillators is a pervasive topic in various scientific disciplines ranging from biology, physics, and chemistry to social networks and engineering applications. A coupled oscillator…

Optimization and Control · Mathematics 2012-09-07 Florian Dörfler , Francesco Bullo

To find interesting structure in networks, community detection algorithms have to take into account not only the network topology, but also dynamics of interactions between nodes. We investigate this claim using the paradigm of…

Social and Information Networks · Computer Science 2012-03-19 Rumi Ghosh , Kristina Lerman

The emergence of synchronization in a network of coupled oscillators is a fascinating topic in various scientific disciplines. A coupled oscillator network is characterized by a population of heterogeneous oscillators and a graph describing…

Optimization and Control · Mathematics 2015-06-05 Florian Dörfler , Michael Chertkov , Francesco Bullo

We show that a complex network of phase oscillators may display interfaces between domains (clusters) of synchronized oscillations. The emergence and dynamics of these interfaces are studied in the general framework of interacting phase…

Statistical Mechanics · Physics 2010-12-07 D. Li , I. Leyva , J. A. Almendral , I. Sendina-Nadal , J. M. Buldu , S. Havlin , S. Boccaletti

The understanding of synchronization ranging from natural to social systems has driven the interests of scientists from different disciplines. Here, we have investigated the synchronization dynamics of the Kuramoto dynamics departing from…

Disordered Systems and Neural Networks · Physics 2009-09-29 Jie Ren , Huijie Yang

In this paper we study synchronized motions in complex networks in which there are distinct groups of nodes where the dynamical systems on each node within a group are the same but are different for nodes in different groups. Both…

Disordered Systems and Neural Networks · Physics 2009-11-13 Francesco Sorrentino , Edward Ott

In the past decade, synchronization on complex networks has attracted increasing attentions from various research disciplines. Most previous works, however, focus only on the dynamic behaviors of synchronization process in the stable…

Data Analysis, Statistics and Probability · Physics 2011-10-26 Zhao Zhuo , Shimin Cai , Jie Zhang , Zhongqian Fu

We study under which conditions systems of coupled oscillators on complex networks display remote synchronization, a situation where pairs of vertices, not necessarily physically linked, but with the same network symmetry, are synchronized.

Adaptation and Self-Organizing Systems · Physics 2016-12-05 Rafael S. Pinto

A novel regime of synchronization, called remote synchronization, where the peripheral nodes form a phase synchronized cluster not including the hub, was recently observed in star motifs. We show the existence of a more general dynamical…

In this letter, we propose high order layered complex networks. The synchronization is discussed in detail. The relations of synchronization, individual coupling matrices and the intrinsic function of the uncoupled system are given. As…

Chaotic Dynamics · Physics 2023-06-06 Tianping Chen , Yujuan Han , Wenlian Lu

Synchronization is one of the paradigmatic phenomena in the study of complex systems. It has been explored theoretically and experimentally mostly to understand natural phenomena, but also in view of technological applications. Although…

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…

Dynamical Systems · Mathematics 2009-11-13 Ernest Barreto , Brian Hunt , Edward Ott , Paul So

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…

Statistical Mechanics · Physics 2007-09-27 Pablo M. Gleiser , Damián H. Zanette

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…

Statistical Mechanics · Physics 2009-10-31 X. Guardiola , A. Diaz-Guilera , M. Llas , C. J. Perez

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…

Pattern Formation and Solitons · Physics 2017-04-05 Daniel Malagarriga , Alessandro E. P. Villa , Jordi García-Ojalvo , Antonio J. Pons

We study synchronization of Kuramoto oscillators in strongly modular networks in which the structure of the network inside each community is averaged. We find that the dynamics of the interacting communities can be described as an ensemble…

Adaptation and Self-Organizing Systems · Physics 2012-06-19 Per Sebastian Skardal , Juan G. Restrepo

We study synchronization of sinusoidally coupled phase oscillators on networks with modular structure and a large number of oscillators in each community. Of particular interest is the hierarchy of local and global synchrony, i.e.,…

Chaotic Dynamics · Physics 2012-01-19 Per Sebastian Skardal , Juan G. Restrepo
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