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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

In the light of the recently proposed scenario of asymmetry-induced synchronization (AISync), in which dynamical uniformity and consensus in a distributed system would demand certain asymmetries in the underlying network, we investigate…

Adaptation and Self-Organizing Systems · Physics 2018-04-11 Alberto Saa

The extension of the master stability function (MSF) to analyze stability of generalized synchronization for coupled nearly identical oscillators is discussed. The nearly identical nature of the coupled oscillators comes from some parameter…

Chaotic Dynamics · Physics 2015-06-22 Suman Acharyya , R. E. Amritkar

Synchrony patterns characterize network states in which nodes organize into clusters based on their synchronized dynamics. The synchronized clusters may further exhibit either active or inactive states. The simultaneous invariance of active…

Adaptation and Self-Organizing Systems · Physics 2026-03-24 Anil Kumar , V. K. Chandrasekar , D. V. Senthilkumar

Synchronization and resonance on networks are some of the most remarkable collective dynamical phenomena. The network topology, or the nature and distribution of the connections within an ensemble of coupled oscillators, plays a crucial…

Dynamical Systems · Mathematics 2023-03-31 Paolo Bartesaghi

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

Partial synchronization is characteristic phase dynamics of coupled oscillators on various natural and artificial networks, which can remain undetected due to the complexity of the systems. With an analogy between pairwise asynchrony of…

Disordered Systems and Neural Networks · Physics 2023-08-23 Yasuhiro Yamada , Kensuke Inaba

Quenching of oscillations, namely amplitude and oscillations death, is an emerging phenomenon exhibited by many real-world complex systems. Here, we introduce a scheme that combines dissimilar couplings and repulsive feedback links for the…

Adaptation and Self-Organizing Systems · Physics 2022-11-08 Subhasanket Dutta , Omar Alamoudi , Yash Shashank Vakilna , Sandipan Pati , Sarika Jalan

Symmetries are ubiquitous in network systems and have profound impacts on the observable dynamics. At the most fundamental level, many synchronization patterns are induced by underlying network symmetry, and a high degree of symmetry is…

Adaptation and Self-Organizing Systems · Physics 2019-02-18 Joseph D. Hart , Yuanzhao Zhang , Rajarshi Roy , Adilson E. Motter

We study the relationship between synchronization and the rate with which information is exchanged between nodes in a spatio-temporal network that describes the dynamics of classical particles under a substrate Remoissenet-Peyrard…

Chaotic Dynamics · Physics 2009-11-13 F. M. Moukam Kakmeni , M. S. Baptista

Experimental studies of synchronization properties on networks with controlled connection topology can provide powerful insights into the physics of complex networks. Here, we report experimental results on the influence of connection…

Chaotic Dynamics · Physics 2011-07-28 Bhargava Ravoori , Adam B. Cohen , Jie Sun , Adilson E. Motter , Thomas E. Murphy , Rajarshi Roy

Synchronization phenomena in complex systems are fundamental to understanding collective behavior across disciplines. While classical approaches model such systems by using scalar-weighted networks and simple diffusive couplings, many…

Statistical Mechanics · Physics 2025-11-18 Anna Gallo , Yu Tian , Renaud Lambiotte , Timoteo Carletti

We investigate the effects of mobility and density on the amplitude death of coupled oscillators in metapopulation networks, wherein each node represents a subpopulation with any number of mobile individuals. We perform stochastic…

Adaptation and Self-Organizing Systems · Physics 2013-02-15 Chuansheng Shen , Hanshuang Chen , Zhonghuai Hou

We study fully synchronized (coherent) states in complex networks of chaotic oscillators, reviewing the analytical approach of determining the stability conditions for synchronizability and comparing them with numerical criteria. As an…

Disordered Systems and Neural Networks · Physics 2015-06-25 Pedro G. Lind , Jason A. C. Gallas , Hans J. Herrmann

Networks of coupled phase oscillators are one of the most studied dynamical systems with numerous applications in physics, chemistry, biology, and engineering. Their behaviour is often characterized by the emergence of various partially…

Pattern Formation and Solitons · Physics 2026-02-27 Oleh E. Omel'chenko

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

We study patterns of partial synchronization in a network of FitzHugh-Nagumo oscillators with empirical structural connectivity measured in human subjects. We report the spontaneous occurrence of synchronization phenomena that closely…

Adaptation and Self-Organizing Systems · Physics 2021-02-03 M. Gerster , R. Berner , J. Sawicki , A. Zakharova , A. Škoch , J. Hlinka , K. Lehnertz , E. Schöll

Small networks of chaotic units which are coupled by their time-delayed variables, are investigated. In spite of the time delay, the units can synchronize isochronally, i.e. without time shift. Moreover, networks can not only synchronize…

Chaotic Dynamics · Physics 2009-11-13 Johannes Kestler , Evi Kopelowitz , Ido Kanter , Wolfgang Kinzel

Understanding the global dynamical behaviour of a network of coupled oscillators has been a topic of immense research in many fields of science and engineering. Various factors govern the resulting dynamical behaviour of such networks,…

Adaptation and Self-Organizing Systems · Physics 2022-07-19 Krishna Manoj , Samadhan A. Pawar , R. I. Sujith

In this paper, we investigate the factors that affect the synchronization of coupled oscillators on networks. By using the edge-intercrossing method, we keep the degree distribution unchanged to see other statistical properties' effects on…

Disordered Systems and Neural Networks · Physics 2007-05-23 Bing Wang , Huanwen Tang , Tao Zhou , Zhilong Xiu