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Related papers: Synchronization on Effective Networks

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Today, complex networks have attracted increasing attention from various fields of science and engineering. It has been demonstrated that many complex networks display various synchronization phenomena. In this paper, we introduce a…

Adaptation and Self-Organizing Systems · Physics 2007-05-23 Jinhu Lu , Guanrong Chen

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

We investigate the stability of synchronization in networks of delay-coupled excitable neural oscillators. On the basis of the master stability function formalism, we demonstrate that synchronization is always stable for excitatory coupling…

Disordered Systems and Neural Networks · Physics 2016-08-10 Judith Lehnert , Thomas Dahms , Philipp Hövel , Eckehard Schöll

Most real systems are growing. In order to model the evolution of real systems, many growing network models have been proposed to reproduce some specific topology properties. As the structure strongly influences the network function,…

Physics and Society · Physics 2015-05-28 Y. Wang , A. Zeng , Z. Di , Y. Fan

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

We study synchronization dynamics in networks of coupled oscillators with bimodal distribution of natural frequencies. This setup can be interpreted as a simple model of frequency synchronization dynamics among generators and loads working…

Physics and Society · Physics 2012-07-03 Sergi Lozano , Lubos Buzna , Albert Díaz-Guilera

Controlling complex networks is of paramount importance in science and engineering. Despite recent efforts to improve controllability and synchronous strength, little attention has been paid to the speed of pinning synchronizability (rate…

Physics and Society · Physics 2015-11-09 Ming-Yang Zhou , Zhao Zhuo , Hao Liao , Zhong-Qian Fu , Shi-Min Cai

Synchronization is an important behavior that characterizes many natural and human made systems composed by several interacting units. It can be found in a broad spectrum of applications, ranging from neuroscience to power-grids, to mention…

Adaptation and Self-Organizing Systems · Physics 2025-10-22 Riccardo Muolo , Timoteo Carletti , James P. Gleeson , Malbor Asllani

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

Neuronal network synchronization has received wide interests. Network connection structure is known to play a key role in its synchronization. In the present manuscript, we study the influence of initial membrane potentials together with…

Dynamical Systems · Mathematics 2021-12-14 Xiaoyue Wu , Congping lin , Yiwei Zhang

Synchronization in networks with delayed coupling are ubiquitous in nature and play a key role in almost all fields of science including physics, biology, ecology, climatology and sociology. In general, the published works on network…

Synchronization is studied in a spatially-distributed network of weekly-coupled, excitatory neurons of Hodgkin-Huxley type. All neurons are coupled to each other synaptically with a fixed time delay and a coupling strength inversely…

Soft Condensed Matter · Physics 2007-05-23 Yuqing Wang , Z. D. Wang , Y. -X. Li , X. Pei

Cluster synchronization in networks of coupled oscillators is the subject of broad interest from the scientific community, with applications ranging from neural to social and animal networks and technological systems. Most of these networks…

Dynamical Systems · Mathematics 2021-07-02 Matteo Lodi , Francesco Sorrentino , Marco Storace

The time-dependent vulnerability of synchronized states is shown for a complex network composed of electronic circuits. We demonstrate that disturbances to the local dynamics of network units can produce different outcomes to…

Adaptation and Self-Organizing Systems · Physics 2019-11-13 Everton S Medeiros , Rene O. Medrano-T , Iberê Luiz Caldas , Tamás Tél , Ulrike Feudel

In this report, we investigate the synchronization of temporal activity in an electrically coupled neural network model. The electrical coupling is established by homotypic static gap-junctions (Connexin 43). Two distinct network…

Neurons and Cognition · Quantitative Biology 2007-05-23 Rajesh G Kavasseri , Radhakrishnan Nagarajan

This paper develops a mathematical framework to study signal networks, in which nodes can be active or inactive, and their activation or deactivation is driven by external signals and the states of the nodes to which they are connected via…

Probability · Mathematics 2025-10-14 Bernd Heidergott , Frank den Hollander , Ines Lindner , Azadeh Parvaneh

By employing a recently introduced optimization algorithm we explicitely design optimally synchronizable (unweighted) networks for any given scale-free degree distribution. We explore how the optimization process affects degree-degree…

Disordered Systems and Neural Networks · Physics 2009-11-13 Luca Donetti , Pablo I. Hurtado , Miguel A. Munoz

The use of spikes to carry information between brain areas implies complete or partial synchronization of the neurons involved. The degree of synchronization reached by two coupled systems and the energy cost of maintaining their…

Chaotic Dynamics · Physics 2015-06-04 A. Moujahid , A. d'Anjou , F. J. Torrealdea

Mutual learning process between two parity feed-forward networks with discrete and continuous weights is studied analytically, and we find that the number of steps required to achieve full synchronization between the two networks in the…

Statistical Mechanics · Physics 2009-11-07 Michal Rosen-Zvi , Ido Kanter , Wolfgang Kinzel

Recently, it has been demonstrated that many large complex networks display a scale-free feature, that is, their connectivity distributions have the power-law form. In this paper, we investigate the synchronization phenomena in a scale-free…

Condensed Matter · Physics 2007-05-23 Xiao Fan Wang , Guanrong Chen