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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.…

适应与自组织系统 · 物理学 2015-05-13 Jane H. Sheeba , V. K. Chandrasekar , M. Lakshmanan

Chimera states---the coexistence of synchrony and asynchrony in a nonlocally-coupled network of identical oscillators---are often used as a model framework for epileptic seizures. Here, we explore the dynamics of chimera states in a network…

神经元与认知 · 定量生物学 2020-12-02 Henry M. Mitchell , Peter Sheridan Dodds , J. Matthew Mahoney , Christopher M. Danforth

We demonstrate that chimera behavior can be observed in ensembles of phase oscillators with unidirectional coupling. For a small network consisting of only three identical oscillators (cyclic triple), tiny {\it chimera islands} arise in the…

混沌动力学 · 物理学 2021-10-27 Patrycja Jaros , Roman Levchenko , Tomasz Kapitaniak , Yuri Maistrenko

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…

无序系统与神经网络 · 物理学 2018-05-30 T. Kasimatis , J. Hizanidis , A. Provata

We observe chimeralike states in an ensemble of oscillators using a type of global coupling consisting of two components: attractive and repulsive mean-field feedback. We identify existence of two types of chimeralike states in a bistable…

混沌动力学 · 物理学 2016-01-20 Arindam Mishra , Chittaranjan Hens , Mridul Bose , Prodyot K. Roy , Syamal K. Dana

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…

适应与自组织系统 · 物理学 2016-05-10 Xin Jiang , Daniel M. Abrams

We study collective dynamics of networks of mutually coupled identical Lorenz oscillators near subcritical Hopf bifurcation. This system shows induced multistable behavior with interesting spatio-temporal dynamics including synchronization,…

混沌动力学 · 物理学 2022-07-20 Anjuman Ara Khatun , Yusra Ahmed Saeed , Nirmal Punetha , Haider Hasan Jafri

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…

混沌动力学 · 物理学 2017-04-19 Saptarshi Ghosh , Anil Kumar , Anna Zakharova , Sarika Jalan

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…

Chimera states, i.e., dynamical states composed of coexisting synchronous and asynchronous oscillations, have been reported to exist in diverse topologies of oscillators in simulations and experiments. Two-population networks with distinct…

适应与自组织系统 · 物理学 2021-11-24 Seungjae Lee , Katharina Krischer

Over the past decades chimera states have attracted considerable attention given their unexpected symmetry-breaking spatio-temporal nature, simultaneously exhibiting synchronous and incoherent behaviours under specific conditions. Despite…

Local repulsive coupling tend to a desynchronize ensembles of globally coupled oscillators, but when the repulsive coupling is nonlocal, multi-cluster chimeras can result. In this case, several groups of synchronized oscillators (the…

适应与自组织系统 · 物理学 2026-05-18 Ayushi Saxena , Sangeeta Rani Ujjwal , Ram Ramaswamy

The role of a new form of dynamic interaction is explored in a network of generic identical oscillators. The proposed design of dynamic coupling facilitates the onset of a plethora of asymptotic states including synchronous states,…

适应与自组织系统 · 物理学 2021-01-12 Shiva Dixit , Sayantan Nag Chowdhury , Awadhesh Prasad , Dibakar Ghosh , Manish Dev Shrimali

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…

适应与自组织系统 · 物理学 2018-09-10 Soumen Majhi , Dibakar Ghosh

Chimera states for the one-dimensional array of nonlocally coupled phase oscillators in the continuum limit are assumed to be stationary states in most studies, but a few studies report the existence of breathing chimera states. We focus on…

适应与自组织系统 · 物理学 2018-04-24 Yusuke Suda , Koji Okuda

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…

斑图形成与孤子 · 物理学 2017-02-01 L. A. Smirnov , G. V. Osipov , A. Pikovsky

We investigate the emergence of chimera and cluster states possessing asymmetric dynamics in globally coupled systems, where the trajectories of oscillators belonging to different subpopulations exhibit different dynamical properties. In an…

混沌动力学 · 物理学 2018-11-26 A. V. Cano , M. G. Cosenza

In a network of coupled oscillators, a symmetry-broken dynamical state characterized by the coexistence of coherent and incoherent parts can spontaneously form. It is known as a chimera state. We study chimera states in a network consisting…

适应与自组织系统 · 物理学 2023-06-21 Seungjae Lee , Katharina Krischer

In this work, we examine the conditions for the emergence of chimera-like states in Ising systems. We study an Ising chain with periodic boundaries in contact with a thermal bath at temperature T, that induces stochastic changes in spin…

无序系统与神经网络 · 物理学 2026-02-17 Alejandro de Haro García , Joaquín J. Torres

Following a short report of our preliminary results [Phys. Rev. E 79, 055203(R) (2009)], we present a more detailed study of the effects of coupling delay in diffusively coupled phase oscillator populations. We find that coupling delay…

适应与自组织系统 · 物理学 2015-05-18 Jane H. Sheeba , V. K. Chandrasekar , M. Lakshmanan