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Related papers: Chimera-like states in modular neural networks

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Kuramoto and Battogtokh [Nonlinear Phenom. Complex Syst. 5, 380 (2002)] discovered chimera states represented by stable coexisting synchrony and asynchrony domains in a lattice of coupled oscillators. After reformulation in terms of local…

Pattern Formation and Solitons · Physics 2017-02-01 L. A. Smirnov , G. V. Osipov , A. Pikovsky

We study numerically synchronization phenomena of spatiotemporal structures, including chimera states, in a two layer network of nonlocally coupled nonlinear chaotic discrete-time systems. Each of the interacting ensembles represents a one…

Adaptation and Self-Organizing Systems · Physics 2018-02-09 Andrei V. Bukh , Galina I. Strelkova , Vadim S. Anishchenko

Chimera states are among the most intriguing phenomena in nonlinear dynamics, characterized by the coexistence of coherent and incoherent behavior in systems of coupled identical oscillators. Many methods have been proposed to detect…

Pattern Formation and Solitons · Physics 2026-05-12 Rommel Tchinda Djeudjo , Riccardo Muolo , Thierry Njougouo , Timoteo Carletti

We explore the influence of a block of excitable units on the existence and behavior of chimera states in a nonlocally coupled ring-network of FitzHugh-Nagumo elements. The FitzHugh-Nagumo system, a paradigmatic model in many fields from…

Pattern Formation and Solitons · Physics 2016-03-02 Thomas Isele , Johanne Hizanidis , Astero Provata , Philipp Hövel

Synchronization underlies phenomena including memory and perception in the brain, coordinated motion of animal flocks, and stability of the power grid. These synchronization phenomena are often modeled through networks of phase-coupled…

Systems and Control · Computer Science 2015-11-02 Andrew Clark , Basel Alomair , Linda Bushnell , Radha Poovendran

Chimeras are surprising yet important states in which domains of decoherent (asynchronous) and coherent (synchronous) oscillations co-exist. In this article, we report on the discovery of a new class of chimeras, called {\it mixed-amplitude…

Pattern Formation and Solitons · Physics 2021-12-22 Tasso J. Kaper , Theodore Vo

An ensemble of nonlocally coupled excitable FitzHugh-Nagumo systems is studied. In the presence of noise the explored system can exhibit a special kind of chimera states called coherence-resonance chimera. As previously thought, noise plays…

Adaptation and Self-Organizing Systems · Physics 2020-10-28 Nadezhda Semenova

Coupled phase oscillators model a variety of dynamical phenomena in nature and technological applications. Non-local coupling gives rise to chimera states which are characterized by a distinct part of phase-synchronized oscillators while…

Adaptation and Self-Organizing Systems · Physics 2015-03-17 Christian Bick , Erik A. Martens

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

An array of excitable Josephson junctions under global mean-field interaction and a common periodic forcing shows emergence of two important classes of coherent dynamics, librational and rotational motion in the weaker and stronger coupling…

In this work we study the synchronization of Kuramoto oscillators driven by external forces in complex modular networks. The motivation is the neuronal dynamics that takes place during information processing in the neural cortex. The neuron…

Adaptation and Self-Organizing Systems · Physics 2020-04-02 Carolina Arruda Moreira

Disorder is often seen as detrimental to collective dynamics, yet recent work has shown that heterogeneity can enhance network synchronization. However, its constructive role in stabilizing nontrivial cooperative patterns remains largely…

Community structure can naturally emerge in paths to synchronization, and scratching it from the paths is a tough issue that accounts for the diverse dynamics of synchronization. In this paper, with assumption that the synchronization on…

Physics and Society · Physics 2014-09-16 Ming-Yang Zhou , Zhao Zhuo , Shi-Min Cai , Zhong-Qian Fu

Despite their simplicity, networks of coupled phase oscillators can give rise to intriguing collective dynamical phenomena. However, the symmetries of globally and identically coupled identical units do not allow solutions where distinct…

Adaptation and Self-Organizing Systems · Physics 2023-08-02 Oleksandr Burylko , Erik Andreas Martens , Christian Bick

We consider chimera states of coupled identical phase oscillators where some oscillators are phase synchronized while others are desynchronized. It is known that chimera states of non-locally coupled Kuramoto--Sakaguchi oscillators in…

Pattern Formation and Solitons · Physics 2019-12-02 Seungjae Lee , Young Sul Cho

We report the appearance of a scroll ring and scroll toroid chimera states from the proposed initial conditions for the Kuramoto model of coupled phase oscillators in the 3D grid topology with inertia. The proposed initial conditions…

Pattern Formation and Solitons · Physics 2021-07-21 Volodymyr Maistrenko , Oleksandr Sudakov , Ievgen Sliusar

Biological networks have so many possible states that exhaustive sampling is impossible. Successful analysis thus depends on simplifying hypotheses, but experiments on many systems hint that complicated, higher order interactions among…

Neurons and Cognition · Quantitative Biology 2009-11-11 Elad Schneidman , Michael J. Berry , Ronen Segev , William Bialek

We report a novel spatiotemporal state, namely the chimera-like incongruous coexistence of {\it synchronized oscillation} and {\it stable steady state} (CSOD) in a realistic ecological network of nonlocally coupled oscillators. Unlike the…

Chaotic Dynamics · Physics 2015-06-09 Partha Sharathi Dutta , Tanmoy Banerjee

Synchronization plays a key role in information processing in neuronal networks. Response of specific groups of neurons are triggered by external stimuli, such as visual, tactile or olfactory inputs. Neurons, however, can be divided into…

Adaptation and Self-Organizing Systems · Physics 2020-03-02 Carolina A. Moreira , Marcus A. M. de Aguiar

In this article, we report the development of an emerging dynamical state, namely, the alternating chimera, in a network of identical neuronal systems induced by an external electromagnetic field. Owing to this interaction scenario, the…

Adaptation and Self-Organizing Systems · Physics 2018-09-10 Soumen Majhi , Dibakar Ghosh