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The defining property of chimera states is the coexistence of coherent and incoherent domains in systems that are structurally and spatially homogeneous. The recent realization that such states might be common in oscillator networks raises…

Pattern Formation and Solitons · Physics 2018-01-19 Zachary G. Nicolaou , Hermann Riecke , Adilson E. Motter

A system of symmetrically coupled identical oscillators with phase lag is presented, which is capable of generating a large repertoire of transient (metastable) "chimera" states in which synchronisation and desynchronisation co-exist. The…

Biological Physics · Physics 2013-06-07 Murray Shanahan

Chimera states are an example of intriguing partial synchronization patterns emerging in networks of identical oscillators. They consist of spatially coexisting domains of coherent (synchronized) and incoherent (desynchronized) dynamics. We…

Adaptation and Self-Organizing Systems · Physics 2017-08-02 Jakub Sawicki , Iryna Omelchenko , Anna Zakharova , Eckehard Schöll

Chimera states are spatiotemporal patterns in which coherence and incoherence coexist. We observe the coexistence of synchronous (coherent) and desynchronous (incoherent) domains in a neuronal network. The network is composed of coupled…

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 report the emergence of peculiar chimera states in networks of identical pendula with global phase-lagged coupling. The states reported include both rotating and quiescent modes, i.e. with non-zero and zero average frequencies. This kind…

Pattern Formation and Solitons · Physics 2022-11-09 P. Ebrahimzadeh , M. Schiek , Y. Maistrenko

The phenomenon of the chimera state symbolizes the coexistence of coherent and incoherent sections of a given population. This phenomenon identified in several physical and biological systems presents several variants, including the…

Adaptation and Self-Organizing Systems · Physics 2021-06-30 Gaël R. Simo , Thierry Njougouo , R. P. Aristides , Patrick Louodop , Robert Tchitnga , Hilda A. Cerdeira

Symmetries are well known to have had a profound role in our understanding of nature and are a critical design concept for the realization of advanced technologies. In fact, many symmetry-broken states associated with different phases of…

Quantum Physics · Physics 2021-04-01 A. Sakurai , V. M. Bastidas , W. J. Munro , Kae Nemoto

For a network of generic oscillators with nonlocal topology and symmetry-breaking coupling we establish novel partially coherent inhomogeneous spatial patterns, which combine the features of chimera states (coexisting incongruous coherent…

Adaptation and Self-Organizing Systems · Physics 2015-06-18 Anna Zakharova , Marie Kapeller , Eckehard Schöll

Chimera states have attracted significant attention as symmetry-broken states exhibiting the unexpected coexistence of coherence and incoherence. Despite the valuable insights gained from analyzing specific systems, an understanding of the…

Adaptation and Self-Organizing Systems · Physics 2021-03-10 Yuanzhao Zhang , Adilson E. Motter

Training large deep learning models at scale is very challenging. This paper proposes Chimera, a novel pipeline parallelism scheme which combines bidirectional pipelines for efficiently training large-scale models. Chimera is a synchronous…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-08-22 Shigang Li , Torsten Hoefler

The chimera state with co-existing coherent-incoherent dynamics has recently attracted a lot of attention due to its wide applicability. We investigate non-locally coupled identical chaotic maps with delayed interactions in the multiplex…

Chaotic Dynamics · Physics 2017-04-19 Saptarshi Ghosh , Anil Kumar , Anna Zakharova , Sarika Jalan

We study the influence of nonuniform motion of oscillators in a ring chain with nonlocal coupling on their collective dynamics and reveal the mechanism behind the emergence of an atypical chimera state in such systems. The mechanism relies…

Pattern Formation and Solitons · Physics 2025-12-02 Pavel A. Shcherbakov , Lev A. Smirnov , Vasily A. Kostin , Maxim I. Bolotov , Grigory V. Osipov

We report the emergence of a collective dynamical state, namely phase-flip chimera, from an en- semble of identical nonlinear oscillators that are coupled indirectly via the dynamical variables from a common environment, which in turn are…

Adaptation and Self-Organizing Systems · Physics 2016-08-03 V. K. Chandrasekar , R. Gopal , D. V. Senthilkumar , M. Lakshmanan

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

Cluster synchronization is a phenomenon in which a network self-organizes into a pattern of synchronized sets. It has been shown that diverse patterns of stable cluster synchronization can be captured by symmetries of the network. Here we…

Pattern Formation and Solitons · Physics 2017-08-30 Young Sul Cho , Takashi Nishikawa , Adilson E. Motter

Many complex systems can be represented as networks of dynamical elements whose states evolve in response to interactions with neighboring elements, noise and external stimuli. The collective behavior of such systems can exhibit remarkable…

Statistical Mechanics · Physics 2015-09-23 Anand Pathak , Sitabhra Sinha

We found that a network-organized metapopulation of cooperators, defectors and destructive agents playing the public goods game with mutations, can collectively reach global synchronization or chimera states. Global synchronization is…

Adaptation and Self-Organizing Systems · Physics 2016-12-09 Nikos E. Kouvaris , Ruben J. Requejo , Johanne Hizanidis , Albert Diaz-Guilera

Chimera states are complex spatio-temporal patterns that consist of coexisting domains of coherent and incoherent dynamics. We study chimera states in a network of non-locally coupled Stuart-Landau oscillators. We investigate the impact of…

Adaptation and Self-Organizing Systems · Physics 2017-04-05 Peter Kalle , Jakub Sawicki , Anna Zakharova , Eckehard Schöll

It was recently demonstrated that two machine-learning architectures, reservoir computing and time-delayed feed-forward neural networks, can be exploited for detecting the Earth's anomaly magnetic field immersed in overwhelming complex…

Signal Processing · Electrical Eng. & Systems 2024-05-30 Mohammadamin Moradi , Zheng-Meng Zhai , Aaron Nielsen , Ying-Cheng Lai
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