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Synchronization is of central importance in power distribution, telecommunication, neuronal, and biological networks. Many networks are observed to produce patterns of synchronized clusters, but it has been difficult to predict these…

Cluster synchronization in synthetic networks of coupled chaotic oscillators is investigated. It is found that despite the asymmetric nature of the network structure, a subset of the oscillators can be synchronized as a cluster while the…

Adaptation and Self-Organizing Systems · Physics 2024-05-16 Huawei Fan , Yafeng Wang , Yao Du , Haibo Qiu , Xingang Wang

We analyse the possible dynamical states emerging for two symmetrically pulse coupled populations of leaky integrate-and-fire neurons. In particular, we observe broken symmetry states in this set-up: namely, breathing chimeras, where one…

Disordered Systems and Neural Networks · Physics 2017-03-14 Simona Olmi , Alessandro Torcini

We obtain experimental chimera states in the minimal network of three identical mechanical oscillators (metronomes), by introducing phase-lagged all-to-all coupling. For this, we have developed a real-time model-in-the-loop coupling…

Adaptation and Self-Organizing Systems · Physics 2020-10-08 Pezhman Ebrahimzadeh , Michael Schiek , Patrycja Jaros , Tomasz Kapitaniak , Stefan van Waasen , Yuri Maistrenko

A scenario has recently been reported in which in order to stabilize complete synchronization of an oscillator network---a symmetric state---the symmetry of the system itself has to be broken by making the oscillators nonidentical. But how…

Adaptation and Self-Organizing Systems · Physics 2017-06-20 Yuanzhao Zhang , Takashi Nishikawa , Adilson E. Motter

Chimera states, representing a spontaneous break-up of a population of identical oscillators that are identically coupled, into sub-populations displaying synchronized and desynchronized behavior, have traditionally been found to exist in…

Chaotic Dynamics · Physics 2015-06-18 Gautam C Sethia , Abhijit Sen

We have investigated synchronized pattern in a network of Thomas oscillators coupled with sinusoidal nonlinear coupling. Pattern like chimera states are not only observed for many non-locally coupled oscillators but there is a signature of…

Adaptation and Self-Organizing Systems · Physics 2021-04-14 Vinesh Vijayan , Biplab Ganguli

A novel regime of synchronization, called remote synchronization, where the peripheral nodes form a phase synchronized cluster not including the hub, was recently observed in star motifs. We show the existence of a more general dynamical…

We consider networks formed from two populations of identical oscillators, with uniform strength all-to-all coupling within populations, and also between populations, with a different strength. Such systems are known to support chimera…

Chaotic Dynamics · Physics 2019-08-28 Carlo R. Laing

We report on a new type of chimera state that attracts almost all initial conditions and exhibits power-law switching behavior in networks of coupled oscillators. Such switching chimeras consist of two symmetric configurations, which we…

Disordered Systems and Neural Networks · Physics 2020-02-28 Yuanzhao Zhang , Zachary G. Nicolaou , Joseph D. Hart , Rajarshi Roy , Adilson E. Motter

The emergence of synchronization in a network of coupled oscillators is a fascinating topic in various scientific disciplines. A coupled oscillator network is characterized by a population of heterogeneous oscillators and a graph describing…

Optimization and Control · Mathematics 2015-06-05 Florian Dörfler , Michael Chertkov , Francesco Bullo

Localized phenomena abound in nature and throughout the physical sciences. Some universal mechanisms for localization have been characterized, such as in the snaking bifurcations of localized steady states in pattern-forming partial…

Pattern Formation and Solitons · Physics 2024-02-20 Zachary G. Nicolaou , Jason J. Bramburger

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 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 propose a robust universal approach to identify multiple dynamical states, including stationary and travelling chimera states based on an adaptive coherence measure. Our approach allows automatic disambiguation of synchronized clusters,…

Adaptation and Self-Organizing Systems · Physics 2021-11-24 Olesia Dogonasheva , Dmitry Kasatkin , Boris Gutkin , Denis Zakharov

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

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

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

Nontrivial collective behavior may emerge from the interactive dynamics of many oscillatory units. Chimera states are chaotic patterns of spatially localized coherent and incoherent oscillations. The recently-introduced notion of a weak…

Dynamical Systems · Mathematics 2016-10-10 Christian Bick , Peter Ashwin

When identical oscillators are coupled together in a network, dynamical steady states are often assumed to reflect network symmetries. Here we show that alternative persistent states may also exist that break the symmetries of the…

Adaptation and Self-Organizing Systems · Physics 2016-05-10 Xin Jiang , Daniel M. Abrams