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相关论文: Multifaceted dynamics of Janus oscillator networks

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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

Many of the amazing functional capabilities of the brain are collective properties stemming from the interactions of large sets of individual neurons. In particular, the most salient collective phenomena in brain activity are oscillations,…

神经元与认知 · 定量生物学 2022-06-29 Victor Buendía , Pablo Villegas , Raffaella Burioni , Miguel A. Muñoz

Many natural systems including the brain comprise coupled non-uniformly stimulated elements. In this paper we show that heterogeneously driven networks of excitatory-inhibitory units exhibit striking collective phenomena, including…

适应与自组织系统 · 物理学 2016-03-23 Varsha Sreenivasan , Shakti N. Menon , Sitabhra Sinha

We study the evolution of heterogeneous networks of oscillators subject to a state-dependent interconnection rule. We find that heterogeneity in the node dynamics is key in organizing the architecture of the functional emerging networks. We…

适应与自组织系统 · 物理学 2015-07-27 Francesco Scafuti , Takaaki Aoki , Mario di Bernardo

We consider an adaptive network, whose connection weights co-evolve in congruence with the dynamical states of the local nodes that are under the influence of an external stimulus. The adaptive dynamical system mimics the adaptive synaptic…

无序系统与神经网络 · 物理学 2022-04-06 S. Thamizharasan , V. K. Chandrasekar , M. Senthilvelan , Rico Berner , Eckehard Schoell , D. V. Senthilkumar

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,…

We demonstrate that chimera behavior can be observed in nonlocally coupled networks of excitable systems in the presence of noise. This phenomenon is distinct from classical chimeras, which occur in deterministic oscillatory systems, and it…

适应与自组织系统 · 物理学 2016-07-06 Nadezhda Semenova , Anna Zakharova , Vadim Anishchenko , Eckehard Schöll

Oscillator networks display intricate synchronization patterns. Determining their stability typically requires incorporating the symmetries of the network coupling. Going beyond analyses that appeal only to a network's automorphism group,…

动力系统 · 数学 2020-12-14 J. Emenheiser , A. Salova , J. Snyder , J. P. Crutchfield , R. M. D'Souza

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…

动力系统 · 数学 2016-10-10 Christian Bick , Peter Ashwin

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

Recently a novel dynamical state, called the {\it chimera death}, is discovered in a network of non locally coupled identical oscillators [A. Zakharova, M. Kapeller, and E. Sch\"oll, Phy.Rev.Lett. 112, 154101 (2014)], which is defined as…

混沌动力学 · 物理学 2014-09-30 Tanmoy Banerjee

The tools of weakly coupled phase oscillator theory have had a profound impact on the neuroscience community, providing insight into a variety of network behaviours ranging from central pattern generation to synchronisation, as well as…

适应与自组织系统 · 物理学 2016-04-05 Peter Ashwin , Stephen Coombes , Rachel Nicks

We show that subsets of interacting oscillators may synchronize in different ways within a single network. This diversity of synchronization patterns is promoted by increasing the heterogeneous distribution of coupling weights and/or…

斑图形成与孤子 · 物理学 2017-04-05 Daniel Malagarriga , Alessandro E. P. Villa , Jordi García-Ojalvo , Antonio J. Pons

We report enhancing of complete synchronization in identical chaotic oscillators when their interaction is mediated by a mismatched oscillator. The identical oscillators now interact indirectly through the intermediate relay oscillator. The…

混沌动力学 · 物理学 2017-07-06 Ranjib Banerjee , Bidesh K. Bera , Dibakar Ghosh , Syamal Kumar Dana

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…

适应与自组织系统 · 物理学 2019-05-23 Wenhao Wang , Qionglin Dai , Hongyan Cheng , Haihong Li , Junzhong Yang

The effects of disorder in external forces on the dynamical behavior of coupled nonlinear oscillator networks are studied. When driven synchronously, i.e., all driving forces have the same phase, the networks display chaotic dynamics. We…

混沌动力学 · 物理学 2009-11-11 Sebastian F. Brandt , Babette K. Dellen , Ralf Wessel

Different aspects of synchronization emerging in dynamical networks of coupled oscillators have been examined prominently in the last decades. Nevertheless, little attention has been paid on the emergence of this imperative collective…

适应与自组织系统 · 物理学 2019-01-09 Soumen Majhi , Dibakar Ghosh , Jürgen Kurths

We present the emergence of chimeras, a state referring to coexistence of partly coherent, partly incoherent dynamics in networks of identical oscillators, in a multiplex network consisting of two non-identical layers which are…

混沌动力学 · 物理学 2017-11-17 Saptarshi Ghosh , Anna Zakharova , Sarika Jalan

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…

斑图形成与孤子 · 物理学 2022-11-09 P. Ebrahimzadeh , M. Schiek , Y. Maistrenko

We report on a self-emerging chimera state in a homogeneous chain of nonlocally and nonlinearly coupled oscillators. This chimera, i.e. a state with coexisting regions of complete and partial synchrony, emerges via a supercritical…

斑图形成与孤子 · 物理学 2015-05-18 G. Bordyugov , A. Pikovsky , M. Rosenblum