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Cluster synchronisation is a key phenomenon observed in networks of coupled dynamical units. Its presence has been linked to symmetry and, more generally, to equability of the underlying pattern of interactions between dynamical units.…

Adaptation and Self-Organizing Systems · Physics 2025-12-17 Kirill Kovalenko , Gonzalo Contreras-Aso , Charo I. del Genio , Stefano Boccaletti , Rubén J. Sánchez-García

Chimera states, which consist of coexisting synchronous and asynchronous domains in networks of coupled oscillators, are in the focus of attention for over a decade. Although chimera morphology and properties have been investigated in a…

Chaotic Dynamics · Physics 2019-12-17 Astero Provata

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

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

Chimera states are dynamical patterns in networks of coupled oscillators in which regions of synchronous and asynchronous oscillation coexist. Although these states are typically observed in large ensembles of oscillators and analyzed in…

Pattern Formation and Solitons · Physics 2016-02-03 Mark J. Panaggio , Daniel M. Abrams , Peter Ashwin , Carlo R. Laing

Oscillatory media can exhibit the coexistence of synchronized and desynchronized regions, so-called chimera states, for uniform parameters and symmetrical coupling. In a phase-balanced chimera state, where the totals of synchronized and…

Chaotic Dynamics · Physics 2015-05-22 Sindre W. Haugland , Lennart Schmidt , Katharina Krischer

The emergence of explosive synchronization has been reported as an abrupt transition in complex networks of first-order Kuramoto oscillators. In this Letter, we demonstrate that the nodes in a second-order Kuramoto model, perform a cascade…

Adaptation and Self-Organizing Systems · Physics 2015-06-15 Peng Ji , Thomas K. DM. Peron , Peter J. Menck , Francisco A. Rodrigues , Jürgen Kurths

This article studies the synchronization problem of complex dynamical networks. The impulsive control method is considered with a novel event-triggered pinning algorithm. Sufficient conditions on the network topology are obtained to ensure…

Optimization and Control · Mathematics 2024-02-29 Kexue Zhang

Synchronization of weakly-coupled non-linear oscillators is a ubiquitous phenomenon that has been observed across the natural sciences. We study the dynamics of optomechanical arrays - networks of mechanically compliant structures that…

Quantum Physics · Physics 2020-02-27 Karl Pelka , Vittorio Peano , André Xuereb

Recent research has led to the discovery of fundamental new phenomena in network synchronization, including chimera states, explosive synchronization, and asymmetry-induced synchronization. Each of these phenomena has thus far been observed…

Adaptation and Self-Organizing Systems · Physics 2019-01-31 Zachary G. Nicolaou , Deniz Eroglu , Adilson E. Motter

How higher-order interactions influence dynamical behavior in networks of coupled chaotic oscillators remains an open question. To address this, we investigate emergent dynamical behaviors in a wheel network of R\"ossler and Lorenz…

Chaotic Dynamics · Physics 2026-01-06 Ashwathi Poolamanna , Medha Bhindwar , Chandrakala Meena

Explosive synchronization (ES) is nowadays a hot topic of interest in nonlinear science and complex networks. So far, it is conjectured that ES is rooted in the setting of specific microscopic correlation features between the natural…

Physics and Society · Physics 2015-06-23 Xiyun Zhang , Stefano Boccaletti , Shuguang Guan , Zonghua Liu

We show the existence of chimera-like states in two distinct groups of identical populations of globally coupled Stuart-Landau oscillators. The existence of chimera-like states occurs only for a small range of frequency difference between…

Adaptation and Self-Organizing Systems · Physics 2017-03-08 K. Premalatha , V. K. Chandrasekar , M. Senthilvelan , M. Lakshmanan

In this paper, we investigate how the internal dynamics of the systems within a network influence the transition to synchronization in adaptive networks of coupled Rossler systems. The network structure is dynamically determined by local…

Adaptation and Self-Organizing Systems · Physics 2025-09-11 Romuald Mbonwouo , Steve J. Kongni , Sishu Shankar Muni , Carmel T. Lambu , Venceslas Nguefoue , Patrick Louodop , Thierry Njougouo

The study of synchronization of coupled systems is currently undergoing a major surge fueled by recent discoveries of new forms of collective dynamics and the development of techniques to characterize a myriad of new patterns of network…

Disordered Systems and Neural Networks · Physics 2016-10-05 Daniel M. Abrams , Louis M. Pecora , Adilson E. Motter

Different aspects of synchronization emerging in dynamical networks of coupled oscillators have been examined prominently in the last decades. Nevertheless, little attention has been paid on the emergence of this imperative collective…

Adaptation and Self-Organizing Systems · Physics 2019-01-09 Soumen Majhi , Dibakar Ghosh , Jürgen Kurths

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

Chimera states in networks of coupled oscillators occur when some fraction of the oscillators synchronise with one another, while the remaining oscillators are incoherent. Several groups have studied chimerae in networks of identical…

Chaotic Dynamics · Physics 2009-11-13 Carlo R. Laing

We study remote (or relay) synchronization in multilayer networks between parts of one layer and their counterparts in a second layer, where these two layers are not directly connected. A simple realization of such a system is a triplex…

Adaptation and Self-Organizing Systems · Physics 2019-01-02 Jakub Sawicki , Iryna Omelchenko , Anna Zakharova , Eckehard Schöll

The coexistence of multiple types of interactions within social, technological and biological networks has moved the focus of the physics of complex systems towards a multiplex description of the interactions between their constituents.…

Physics and Society · Physics 2015-11-09 Jesús Gómez-Gardeñes , Manlio De Domenico , Gerardo Gutiérrez , Alex Arenas , Sergio Gómez