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Many natural systems are organized as networks, in which the nodes (be they cells, individuals or populations) interact in a time-dependent fashion. The dynamic behavior of these networks depends on how these nodes are connected, which can…

Neurons and Cognition · Quantitative Biology 2015-06-22 Anca Radulescu , Sergio Verduzco-Flores

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…

Adaptation and Self-Organizing Systems · Physics 2016-05-10 Xin Jiang , Daniel M. Abrams

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…

Pattern Formation and Solitons · Physics 2015-05-18 G. Bordyugov , A. Pikovsky , M. Rosenblum

We explore numerically the impact of additive Gaussian noise on the spatio-temporal dynamics of ring networks of nonlocally coupled chaotic maps. The local dynamics of network nodes is described by the logistic map, the Ricker map, and the…

Disordered Systems and Neural Networks · Physics 2023-07-06 Elena Rybalova , Vasilii Nechaev , Eckehard Schöll , Galina Strelkova

Chimera states, which consist of coexisting synchronous and asynchronous domains in networks of coupled oscillators, are in the focus of attention for over a decade. Although chimera morphology and properties have been investigated in a…

Chaotic Dynamics · Physics 2019-12-17 Astero Provata

Bursting neurons fire rapid sequences of action potential spikes followed by a quiescent period. The basic dynamical mechanism of bursting is the slow currents that modulate a fast spiking activity caused by rapid ionic currents. Minimal…

Chaotic Dynamics · Physics 2015-02-16 Fabiano A. S. Ferrari , Ricardo L. Viana , Sérgio R. Lopes , Ruedi Stoop

We report measurements of the brain activity of subjects engaged in behavioral exchanges with their environments. We observe brain states which are characterized by coordinated oscillation of populations of neurons that are changing rapidly…

Neurons and Cognition · Quantitative Biology 2007-05-23 Walter J. Freeman , Giuseppe Vitiello

Many biological processes involve synchronization between nonequivalent systems, i.e, systems where the difference is limited to a rather small parameter mismatch. The maintenance of the synchronized regime in this cases is energetically…

Artificial Intelligence · Computer Science 2012-04-19 A. Moujahid , A. D'Anjou , F. J. Torrealdea , C. Sarasola

Chimera states are characterized by the symmetry-breaking coexistence of synchronized and incoherent groups of oscillators in certain chains of identical oscillators. We report on the direct experimental observation of states reminiscent of…

Pattern Formation and Solitons · Physics 2017-03-14 L. Q. English , A. Zampetaki , P. G. Kevrekidis , K. Skowronski , C. B. Fritz , Saidou Abdoulkary

We show that dynamical clustering, where a system segregates into distinguishable subsets of synchronized elements, and chimera states, where differentiated subsets of synchronized and desynchronized elements coexist, can emerge in networks…

Adaptation and Self-Organizing Systems · Physics 2021-02-12 M. G. Cosenza , O. Alvarez-Llamoza , A. V. Cano

The activity of a sparse network of leaky integrate-and-fire neurons is carefully revisited with reference to a regime of a bona-fide asynchronous dynamics. The study is preceded by a finite-size scaling analysis, carried out to identify a…

Neurons and Cognition · Quantitative Biology 2020-05-06 Ekkehard Ullner , Antonio Politi , Alessandro Torcini

All the fundamental interactions (such as gravity or electromagnetic interactions) are reciprocal in nature. However, in the macroscopic world, in particular outside equilibrium, non-reciprocal or non-mutual interactions are quite…

Statistical Mechanics · Physics 2025-11-26 Shaon Mandal Chakraborty , Bibhut Sahoo , Peter Sollich , Rituparno Mandal

We consider star networks of chaotic oscillators, with all end-nodes connected only to the central hub node, under diffusive coupling, conjugate coupling and mean-field type coupling. We observe the existence of chimeras in the end-nodes,…

Chaotic Dynamics · Physics 2016-09-21 Chandrakala Meena , K. Murali , Sudeshna Sinha

Chimera states in networks of coupled oscillators occur when some fraction of the oscillators synchronise with one another, while the remaining oscillators are incoherent. Several groups have studied chimerae in networks of identical…

Chaotic Dynamics · Physics 2009-11-13 Carlo R. Laing

We put forward the dynamical study of a novel higher-order small network of Chialvo neurons arranged in a ring-star topology, with the neurons interacting via linear diffusive couplings. This model is perceived to imitate the nonlinear…

Adaptation and Self-Organizing Systems · Physics 2024-05-13 Anjana S. Nair , Indranil Ghosh , Hammed O. Fatoyinbo , Sishu S. Muni

Since the discovery of chimera states, the presence of a nonzero phase lag parameter turns out to be an essential attribute for the emergence of chimeras in a nonlocally coupled identical Kuramoto phase oscillators' network with pairwise…

Chaotic Dynamics · Physics 2022-04-22 Srilena Kundu , Dibakar Ghosh

Networks of model neurons with balanced recurrent excitation and inhibition produce irregular and asynchronous spiking activity. We extend the analysis of balanced networks to include the known dependence of connection probability on the…

Neurons and Cognition · Quantitative Biology 2014-06-02 Robert Rosenbaum , Brent Doiron

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…

Adaptation and Self-Organizing Systems · Physics 2016-03-23 Varsha Sreenivasan , Shakti N. Menon , Sitabhra Sinha

In the present article, we demonstrate the emergence and existence of the spiral wave chimera-like transient pattern in coupled ecological systems, composed of prey-predator patches, where the patches are connected in a three-dimensional…

Adaptation and Self-Organizing Systems · Physics 2022-08-02 Bidesh K. Bera , Srilena Kundu , Paulsamy Muruganandam , Dibakar Ghosh , M. Lakshmanan

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