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Related papers: Minimal Chimera States in Phase-Lag Coupled Mechan…

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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

We experimentally demonstrate that networks of identical photonic spiking neurons based on coupled degenerate parametric oscillators can show various chimera states, in which, depending on their local synchronization and desynchronization,…

Swarmalators are oscillatory systems endowed with a spatial component, whose spatial and phase dynamics affect each other. Such systems can demonstrate fascinating collective dynamics resembling many real-world processes. Through this work,…

Adaptation and Self-Organizing Systems · Physics 2023-09-11 Samali Ghosh , Gourab Kumar Sar , Soumen Majhi , Dibakar Ghosh

A class of adaptation functions is found for which a synchronous oscillation mode exists in the network of phase oscillators with triadic couplings. It is shown that the destruction of the synchronous mode occurs differently for networks…

Chaotic Dynamics · Physics 2023-11-13 Anastasiia Emelianova , Vladimir Nekorkin

Many studies of synchronization properties of coupled oscillators, based on the classical Kuramoto approach, focus on ensembles coupled via a mean field. Here we introduce a setup of Kuramoto-type phase oscillators coupled via two mean…

Chaotic Dynamics · Physics 2017-06-19 Xiyun Zhang , Arkady Pikovsky , Zonghua Liu

Complex multiplex networks consist of several subnetwork layers, which interact via pairwise inter-layer connections. Relay synchronization between distant layers which are not directly connected, but only via a relay layer, can be observed…

Adaptation and Self-Organizing Systems · Physics 2019-07-24 Marius Winkler , Jakub Sawicki , Iryna Omelchenko , Anna Zakharova , Vadim Anishchenko , Eckehard Schöll

This study investigates the impact of delayed coupling on the global and local synchronization of identical coupled oscillators residing in a ring. Utilizing the Kuramoto model, we examine the effects of delayed coupling on collective…

Adaptation and Self-Organizing Systems · Physics 2025-02-04 Sara Ameli , Esmaeil Mahdavi , Mina Zarei , Farhad Shahbazi

We find chimera states with respect to amplitude dynamics in a network of Stuart-Landau oscillators. These partially coherent and partially incoherent spatio-temporal patterns appear due to the interplay of nonlocal network topology and…

Adaptation and Self-Organizing Systems · Physics 2016-08-02 Anna Zakharova , Marie Kapeller , Eckehard Schöll

We investigate the emergence of amplitude and frequency chimera states in ring-star networks consisting of identical Chua circuits connected via nonlocal diffusive, bidirectional coupling. We first identify single-well chimera patterns in a…

Adaptation and Self-Organizing Systems · Physics 2020-08-06 S. S. Muni , A. Provata

We analyze quasiperiodic partially synchronous states in an ensemble of Stuart-Landau oscillators with global nonlinear coupling. We reveal two types of such dynamics: in the first case the time-averaged frequencies of oscillators and of…

Chaotic Dynamics · Physics 2017-03-01 Michael Rosenblum , Arkady Pikovsky

We present an approach to generate chimera dynamics (localized frequency synchrony) in oscillator networks with two populations of (at least) two elements using a general method based on delayed interactions with linear and quadratic terms.…

Adaptation and Self-Organizing Systems · Physics 2017-10-25 Christian Bick , Michael Sebek , István Z. Kiss

The notion of a weak chimeras provides a tractable definition for chimera states in networks of finitely many phase oscillators. Here we generalize the definition of a weak chimera to a more general class of equivariant dynamical systems by…

Dynamical Systems · Mathematics 2017-03-01 Christian Bick

We refer the appearance of three-dimensional (3D) multiheaded chimera states that display cascades of self-organized spatiotemporal patterns of coexisting coherence and incoherence. We demonstrate that number of the incoherent chimera's…

Pattern Formation and Solitons · Physics 2019-12-20 Volodymyr Maistrenko , Oleksandr Sudakov , Oleksiy Osiv , Yuri Maistrenko

We describe spatiotemporal patterns in a network of identical van der Pol oscillators coupled in a two-dimensional geometry. In this study, we show that the system under study demonstrates a plethora of different spatiotemporal structures…

Adaptation and Self-Organizing Systems · Physics 2020-09-22 I. A. Shepelev , S. S. Muni , T. E. Vadivasova

We have identified the existence of globally clustered chimera states in delay coupled oscillator populations and find that these states can breathe periodically, aperiodically and become unstable depending upon the value of coupling delay.…

Adaptation and Self-Organizing Systems · Physics 2015-05-13 Jane H. Sheeba , V. K. Chandrasekar , M. Lakshmanan

The dynamics of a large array of coupled semiconductor lasers is studied for a nonlocal coupling scheme. Our focus is on chimera states, a self-organized spatio-temporal pattern of co-existing coherence and incoherence. In laser systems,…

Pattern Formation and Solitons · Physics 2017-09-27 J. Shena , J. Hizanidis , P. Hövel , G. P. Tsironis

We present an exemplary system of three identical oscillators in a ring interacting repulsively to show up chimera patterns. The dynamics of individual oscillators is governed by the superconducting Josephson junction. Surprisingly, the…

Adaptation and Self-Organizing Systems · Physics 2021-11-08 Suman Saha , Syamal Kumar Dana

We study networks of non-locally coupled electronic oscillators that can be described approximately by a Kuramoto-like model. The experimental networks show long complex transients from random initial conditions on the route to network…

Adaptation and Self-Organizing Systems · Physics 2014-10-03 David P. Rosin , Damien Rontani , Nicholas D. Haynes , Eckehard Schöll , Daniel J. Gauthier

Global and partial synchronization are the two distinctive forms of synchronization in coupled oscillators and have been well studied in the past decades. Recent attention on synchronization is focused on the chimera state (CS) and…

Physics and Society · Physics 2017-02-28 Xiyun Zhang , Hongjie Bi , Shuguang Guan , Jinming Liu , Zonghua Liu

Hybrid quantum systems have been developed with various mechanical, optical and microwave harmonic oscillators. The coupling produces a rich library of interactions including two mode squeezing, swapping interactions, back-action evasion…

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