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We present results obtained for a network of four delay-coupled lasers modelled by Lang-Kobayashi-type equations. We find small chimera states consisting of a pair of synchronized lasers and two unsynchronized lasers. One class of these…

Adaptation and Self-Organizing Systems · Physics 2021-08-09 André Röhm , Fabian Böhm , Kathy Lüdge

Collective behavior among coupled dynamical units can emerge in various forms as a result of different coupling topologies as well as different types of coupling functions. Chimera states have recently received ample attention as a…

Adaptation and Self-Organizing Systems · Physics 2017-05-24 Bidesh K. Bera , Soumen Majhi , Dibakar Ghosh , Matjaz Perc

A chimera state is a spatio-temporal pattern in a network of identical coupled oscillators in which synchronous and asynchronous oscillation coexist. This state of broken symmetry, which usually coexists with a stable spatially symmetric…

Chaotic Dynamics · Physics 2015-02-19 Mark J. Panaggio , Daniel M. Abrams

The heterogeneity among interacting dynamical systems or variations in the pattern of their interactions occur naturally in many real complex systems. Often they lead to partially synchronized states like chimeras or oscillation suppressed…

Adaptation and Self-Organizing Systems · Physics 2024-08-21 Aiwin T Vadakkan , Umesh Kumar Verma , G. Ambika

In many real-life situations, individuals are dared to simultaneously achieve social objectives of acceptance or approval and strategic objectives of coordination. Since these two objectives may take place in dfferent environments, a…

Physics and Society · Physics 2018-12-17 Haydee Lugo , Juan Carlos Gonzalez-Avella , Maxi San Miguel

We present a control scheme that is able to find and stabilize an unstable chaotic regime in a system with a large number of interacting particles. This allows us to track a high dimensional chaotic attractor through a bifurcation where it…

Dynamical Systems · Mathematics 2014-06-30 Jan Sieber , Oleh Omel'chenko , Matthias Wolfrum

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

We show that chimera patterns can be induced by noise in nonlocally coupled neural networks in the excitable regime. In contrast to classical chimeras, occurring in noise-free oscillatory networks, they have features of two phenomena:…

Adaptation and Self-Organizing Systems · Physics 2016-11-11 Anna Zakharova , Nadezhda Semenova , Vadim Anishchenko , Eckehard Schöll

Chimera states, namely the coexistence of coherent and incoherent behavior, were previously analyzed in complex networks. However, they have not been extensively studied in modular networks. Here, we consider the neural network of the…

Adaptation and Self-Organizing Systems · Physics 2016-01-28 Johanne Hizanidis , Nikos E. Kouvaris , Gorka Zamora-López , Albert Díaz-Guilera , Chris G. Antonopoulos

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

We consider both leaderless and leader-follower, possibly nonlinear, networks affected by time-varying communication delays. For such systems, we give a set of sufficient conditions that guarantee the convergence of the network towards some…

Systems and Control · Electrical Eng. & Systems 2024-02-12 Shihao Xie , Giovanni Russo

Chimera states are complex spatio-temporal patterns that consist of coexisting domains of coherent and incoherent dynamics. We analyse chimera states in networks of Van der Pol oscillators with hierarchical coupling topology. We investigate…

Adaptation and Self-Organizing Systems · Physics 2016-03-02 Stefan Ulonska , Iryna Omelchenko , Anna Zakharova , Eckehard Schoell

We investigate "chimera" states in a ring of identical phase oscillators coupled in a time-delayed and spatially non-local fashion. We find novel "clustered chimera" states that have spatially distributed phase coherence separated by…

Pattern Formation and Solitons · Physics 2009-11-13 Gautam C. Sethia , Abhijit Sen , Fatihcan M. Atay

A "chimera state" is a dynamical pattern that occurs in a network of coupled identical oscillators when the symmetry of the oscillator population is broken into synchronous and asynchronous parts. We report the experimental observation of…

Chaotic Dynamics · Physics 2023-04-17 Joseph D. Hart , Kanika Bansal , Thomas E. Murphy , Rajarshi Roy

The synchronization of coupled oscillators is a fascinating manifestation of self-organization that nature employs to orchestrate essential processes of life, such as the beating of the heart. Although it was long thought that synchrony or…

Adaptation and Self-Organizing Systems · Physics 2013-07-29 Erik Andreas Martens , Shashi Thutupalli , Antoine Fourrière , Oskar Hallatschek

Communication delays and multiplexing are ubiquitous features of real-world networked systems. We here introduce a simple model where these two features are simultaneously present, and report the rich phe- nomenology which is actually due…

Chaotic Dynamics · Physics 2017-04-19 Aradhana Singh , Sarika Jalan , Stefano Boccaletti

This Letter investigates the nature of synchronization in multilayered and multiplexed populations in which the interlayer interactions are randomly pinned. First, we show that a multilayer network constructed by setting up all-to-all…

Adaptation and Self-Organizing Systems · Physics 2022-04-20 Ajay Deep Kachhvah , Sarika Jalan

We consider the problem of designing control protocols for nonlinear network systems affected by heterogeneous, time-varying delays and disturbances. For these networks, the goal is to reject polynomial disturbances affecting the agents and…

Optimization and Control · Mathematics 2023-03-14 Shihao Xie , Giovanni Russo

For a globally coupled network of semiconductor lasers with delayed optical feedback, we demonstrate the existence of chimera states. The domains of coherence and incoherence that are typical for chimera states are found to exist for the…

Chaotic Dynamics · Physics 2015-05-20 Fabian Böhm , Anna Zakharova , Eckehard Schöll , Kathy Lüdge

Yes! Very much so. A chimera state refers to the coexistence of a coherent-incoherent dynamical evolution of identically coupled oscillators. We investigate the impact of multiplexing of a lyer having repulsively coupled oscillators on…

Chaotic Dynamics · Physics 2017-11-09 Sarika Jalan , Saptarshi Ghosh , Bibhabasu Patra