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The interplay between time scales and structural properties of complex networks of nonlinear oscillators can generate many interesting phenomena, like amplitude death, cluster synchronization, frequency synchronization etc. We study the…

Adaptation and Self-Organizing Systems · Physics 2019-04-23 Kajari Gupta , G. Ambika

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…

Adaptation and Self-Organizing Systems · Physics 2015-06-17 Pablo Balenzuela , Pau Rué , Stefano Boccaletti , Jordi García-Ojalvo

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

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…

Disordered Systems and Neural Networks · Physics 2009-09-29 Xiang Li

In this paper, the transition of synchronizing path of delay-coupled chaotic oscillators in a scale-free network is highlighted. Mainly, through the critical transmission delay makes chaotic oscillators be coupled on the edge of stability,…

Physics and Society · Physics 2015-06-24 Zhao Zhuo , Shi-Min Cai , Zhong-Qian Fu

Many real-world complex systems rely on cluster synchronization to function properly. A cluster of nodes exhibits synchronous behavior while others behave erratically. Predicting the emergence of these clusters and understanding the…

Adaptation and Self-Organizing Systems · Physics 2023-09-19 Rodrigo M. Corder , Zheng Bian , Tiago Pereira , Antonio Montalban

In this letter, we consider the effect of clustering coefficient on the synchronizability of coupled oscillators located on scale-free networks. The analytic result for the value of clustering coefficient aiming at a highly clustered…

Statistical Mechanics · Physics 2009-11-11 Xiang Wu , Bing-Hong Wang , Tao Zhou , Wen-Xu Wang , Ming Zhao , Hui-jie Yang

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…

Chaotic Dynamics · Physics 2009-11-13 Shuguang Guan , Xingang Wang , Xiaofeng Gong , Kun Li , C. -H. Lai

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

In this paper, inspired by the idea that the hub nodes of a highly heterogeneous network are not only the bottlenecks, but also effective controllers in the network synchronizing process, we bring forward an asymmetrical coupling method…

Statistical Mechanics · Physics 2009-11-11 Ming Zhao , Tao Zhou , Bing-Hong Wang , Qing Ou , Jie Ren

Recent studies have shown that synchronizability of complex networks can be significantly improved by asymmetric couplings, and increase of coupling gradient is always in favor of network synchronization. Here we argue and demonstrate that,…

Adaptation and Self-Organizing Systems · Physics 2009-11-13 Xingang Wang , Ying-Cheng Lai , Cangtao Zhou , Choy Heng Lai

Synchronization problems in complex networks are very often studied by researchers due to its many applications to various fields such as neurobiology, e-commerce and completion of tasks. In particular, Scale Free networks with degree…

Physics and Society · Physics 2015-07-07 Débora Torres , Matías A. Di Muro , Cristian E. La Rocca , Lidia A. Braunstein

We investigate synchronization in complex networks of noisy phase oscillators. We find that, while too weak a coupling is not sufficient for the whole system to synchronize, too strong a coupling induces a nontrivial type of phase slip…

Adaptation and Self-Organizing Systems · Physics 2016-07-27 Yasuaki Kobayashi , Hiroshi Kori

The emergence of explosive collective phenomena has recently attracted much attention due to the discovery of an explosive percolation transition in complex networks. In this Letter, we demonstrate how an explosive transition shows up in…

Statistical Mechanics · Physics 2011-07-01 Jesus Gomez-Gardenes , Sergio Gomez , Alex Arenas , Yamir Moreno

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…

Physics and Society · Physics 2012-02-15 Cristian E. La Rocca , Lidia A. Braunstein , Pablo A. Macri

Originally, protocols were designed for multi-agent systems (MAS) using information about the network which might not be available. Recently, there has been a focus on scale-free synchronization where the protocol is designed without any…

Systems and Control · Electrical Eng. & Systems 2024-10-25 Anton A. Stoorvogel , Ali Saberi , Zhenwei Liu

By a model of coupled phase oscillators, we show analytically how synchronization in {\em non-identical} complex networks can be enhanced by introducing a proper gradient into the couplings. It is found that, by pointing the gradient from…

Chaotic Dynamics · Physics 2011-11-10 Xingang Wang , Shuguang Guan , Ying-Cheng Lai , Choy Heng Lai

Synchronization in networks of coupled oscillators is known to be largely determined by the spectral and symmetry properties of the interaction network. Here we leverage this relation to study a class of networks for which the threshold…

Adaptation and Self-Organizing Systems · Physics 2017-12-21 Takashi Nishikawa , Adilson E. Motter

Generative mechanisms which lead to empirically observed structure of networked systems from diverse fields like biology, technology and social sciences form a very important part of study of complex networks. The structure of many…

Physics and Society · Physics 2015-12-03 Snehal M. Shekatkar , G. Ambika

In heterogeneous network systems such as ecological and social networks, structural stability depends on how connectivity changes under node removal, as different removal sequences can trigger distinct modes of systemic collapse. While…

Physics and Society · Physics 2026-05-01 Yeonsu Jeong , Deok-Sun Lee , Mi Jin Lee , Seung-Woo Son