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Related papers: Non-identical multiplexing promotes chimera states

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We investigate delay-induced collective dynamics in a two-layer multiplex FitzHugh Nagumo network with nonlocal intra layer coupling and delayed inter layer interactions. While delay effects are often treated as secondary, we show that…

Biological Physics · Physics 2026-05-07 Hui Wu

We study the stable spatiotemporal patterns that arise in a 3D network of neuron oscillators, whose dynamics is described by the Leaky Integrate-and-Fire (LIF) model. More specifically, we investigate the form of the chimera states induced…

Disordered Systems and Neural Networks · Physics 2018-05-30 T. Kasimatis , J. Hizanidis , A. Provata

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

The coexistence of coherent and incoherent domains, namely the appearance of chimera states, is being studied extensively in many contexts of science and technology since the past decade, though the previous studies are mostly built on the…

Chaotic Dynamics · Physics 2019-02-05 Srilena Kundu , Bidesh K. Bera , Dibakar Ghosh , M. Lakshmanan

Chimera states, a symmetry-breaking spatiotemporal pattern in nonlocally coupled dynamical units, prevail in a variety of systems. However, the interaction structures among oscillators are static in most of studies on chimera state. In this…

Adaptation and Self-Organizing Systems · Physics 2019-05-23 Wenhao Wang , Qionglin Dai , Hongyan Cheng , Haihong Li , Junzhong Yang

The effects of nonlocal and reflecting connectivities have been previously investigated in coupled Leaky Integrate-and-Fire (LIF) elements, which assimilate the exchange of electrical signals between neurons. In this work we investigate the…

Pattern Formation and Solitons · Physics 2018-10-16 N. D. Tsigkri-DeSmedt , I. Koulierakis , G. Karakos , A. Provata

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

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

The instability of mixing in the Kuramoto model of coupled phase oscillators is the key to understanding a range of spatiotemporal patterns, which feature prominently in collective dynamics of systems ranging from neuronal networks, to…

Chaotic Dynamics · Physics 2022-02-23 Georgi S. Medvedev , Matthew S. Mizuhara

We investigate the emergence of localized coherent behavior in a system consisting of two populations of social agents possessing a condition for non-interacting states, mutually coupled through global interaction fields. As an example of…

Physics and Society · Physics 2013-12-31 J. C. González-Avella , M. G. Cosenza , M. San Miguel

Networks of identical, symmetrically coupled oscillators can spontaneously split into synchronized and desynchronized sub-populations. Such chimera states were discovered in 2002, but are not well understood theoretically. Here we obtain…

Chaotic Dynamics · Physics 2015-04-07 Daniel M. Abrams , Renato E. Mirollo , Steven H. Strogatz , Daniel A. Wiley

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

This study delves into the emergence of collective behaviors within a network comprising interacting cells. Each cell integrates a fixed number of neurons governed by an activation gradient based on Hopfield's model. The intra-cell…

Pattern Formation and Solitons · Physics 2025-01-13 Adamdine M. Abdoulaye , Venceslas Nguefoue Meli , Steve J. Kongni , Thierry Njougouo , Patrick Louodop

We study the existence of chimera states, i.e. mixed states, in a globally coupled sine circle map lattice, with different strengths of inter-group and intra-group coupling. We find that at specific values of the parameters of the CML, a…

Chaotic Dynamics · Physics 2018-11-30 Joydeep Singha , Neelima Gupte

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

Two-dimensional arrays of coupled waveguides or coupled microcavities allow to confine and manipulate light. Based on a paradigmatic envelope equation, we show that these devices, subject to a coherent optical injection, support coexistence…

Pattern Formation and Solitons · Physics 2020-04-22 M. G. Clerc , S. Coulibaly , M. A. Ferré , M. Tlidi

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,…

Arrays of identical oscillators can display a remarkable spatiotemporal pattern in which phase-locked oscillators coexist with drifting ones. Discovered two years ago, such "chimera states" are believed to be impossible for locally or…

Pattern Formation and Solitons · Physics 2013-06-13 Daniel M. Abrams , Steven H. Strogatz

We study the impact of interaction of nodes in a layer of a multiplex network on the dynamical behavior and cluster synchronization of these nodes in other layers. We find that nodes interactions in one layer affects the cluster…

Chaotic Dynamics · Physics 2014-12-18 Sarika Jalan , Aradhana Singh

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