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We investigate the optimization of synchronizability in multiplex networks and demonstrate that the interlayer coupling strength is the deciding factor for the efficiency of optimization. The optimized networks have homogeneity in the…

Physics and Society · Physics 2016-02-26 Sanjiv K. Dwivedi , Camellia Sarkar , Sarika Jalan

Biological rhythms are generated by pacemaker organs, such as the heart pacemaker organ (the sinoatrial node) and the master clock of the circadian rhythms (the suprachiasmatic nucleus), which are composed of a network of autonomously…

Cell Behavior · Quantitative Biology 2016-08-23 Hiroshi Kori , Yoji Kawamura , Naoki Masuda

Remote synchronization implies that oscillators interacting not directly but via an additional unit (hub) adjust their frequencies and exhibit frequency locking while the hub remains asynchronous. In this paper, we analyze the mechanisms of…

Chaotic Dynamics · Physics 2021-11-17 Mohit Kumar , Michael Rosenblum

Experimental exploration of synchronization in scalable oscillator micro systems has unfolded a deeper understanding of networks, collective phenomena, and signal processing. Cavity optomechanical devices have played an important role in…

Small world networks interpolate between fully regular and fully random topologies and simultaneously exhibit large local clustering as well as short average path length. Small world topology has therefore been suggested to support network…

Disordered Systems and Neural Networks · Physics 2015-05-19 Carsten Grabow , Steven Hill , Stefan Grosskinsky , Marc Timme

We investigate in depth the synchronization of coupled oscillators on top of complex networks with different degrees of heterogeneity within the context of the Kuramoto model. In a previous paper [Phys. Rev. Lett. 98, 034101 (2007)], we…

Statistical Mechanics · Physics 2008-01-29 Jesus Gomez-Gardenes , Yamir Moreno , Alex Arenas

Does the assignment order of a fixed collection of slightly distinct subsystems into given communication channels influence the overall ensemble behavior? We discuss this question in the context of complex networks of non-identical…

Adaptation and Self-Organizing Systems · Physics 2015-09-30 Celso Freitas , Elbert Macau , Ricardo Luiz Viana

Starting with an initial random network of oscillators with a heterogeneous frequency distribution, its autonomous synchronization ability can be largely improved by appropriately rewiring the links between the elements. Ensembles of…

Adaptation and Self-Organizing Systems · Physics 2015-05-18 Tatsuo Yanagita , Alexander S. Mikhailov

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…

Statistical Mechanics · Physics 2010-05-04 Tao Zhou , Ming Zhao , Changsong Zhou

We study the synchronized interval in undirected and unweighted random networks of coupled oscillators as a function of the number of edges. In many coupled oscillator systems, synchronization is stable in a finite interval of coupling…

Chaotic Dynamics · Physics 2017-11-07 Suman Acharyya

In this paper, a new cooperation structure for spectrum sensing in cognitive radio networks is proposed which outperforms the existing commonly-used ones in terms of energy efficiency. The efficiency is achieved in the proposed design by…

Information Theory · Computer Science 2015-09-11 Younes Abdi , Tapani Ristaniemi

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

We report erosion of synchronization in networks of coupled phase oscillators, a phenomenon where perfect phase synchronization is unattainable in steady-state, even in the limit of infinite coupling. An analysis reveals that the total…

Adaptation and Self-Organizing Systems · Physics 2015-06-23 Per Sebastian Skardal , Dane Taylor , Jie Sun , Alex Arenas

A procedure is developed and tested to enforce synchronicity in a family of Stuart-Landau oscillators, coupled through a symmetric network. The proposed method exploits network plasticity, as an inherent non autonomous drive. More…

Adaptation and Self-Organizing Systems · Physics 2020-02-19 Claudio Pereti , Duccio Fanelli

We investigate the combined effects of distributed delay and the balance between excitatory and inhibitory nodes on the stability of synchronous oscillations in a network of coupled Stuart--Landau oscillators. To this end a network model is…

Adaptation and Self-Organizing Systems · Physics 2014-09-16 Carolin Wille , Judith Lehnert , Eckehard Schöll

In this paper we consider a heterogeneous network of Haken-Kelso-Bunz (HKB) nonlinear oscillators coupled through both linear and nonlinear interaction protocols. While some work exists on a system made up of only two nonlinearly coupled…

Dynamical Systems · Mathematics 2015-09-03 Francesco Alderisio , Benoit G. Bardy , Mario di Bernardo

We study the synchronization transition of Kuramoto oscillators in scale-free networks that are characterized by tunable local properties. Specifically, we perform a detailed finite size scaling analysis and inspect how the critical…

Statistical Mechanics · Physics 2015-06-25 Jesus Gomez-Gardenes , Yamir Moreno

Many networked systems are governed by non-pairwise interactions between nodes. The resulting higher-order interaction structure can then be encoded by means of a hypernetwork. In this paper we consider dynamical systems on hypernetworks by…

Dynamical Systems · Mathematics 2023-08-11 Sören von der Gracht , Eddie Nijholt , Bob Rink

Due to time delays in signal transmission and processing, phase lags are inevitable in realistic complex oscillator networks. Conventional wisdom is that phase lags are detrimental to network synchronization. Here we show that judiciously…

Chaotic Dynamics · Physics 2018-08-15 Huawei Fan , Ying-Cheng Lai , Shi-Xian Qu , Xingang Wang

Synchronization is a universal phenomenon found in many non-equilibrium systems. Much recent interest in this area has overlapped with the study of complex networks, where a major focus is determining how a system's connectivity patterns…

Adaptation and Self-Organizing Systems · Physics 2015-08-19 Jason Hindes , Christopher R. Myers