English
Related papers

Related papers: Alternating chimeras in networks of ephaptically c…

200 papers

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

We show that amplitude-mediated phase chimeras and amplitude chimeras can occur in the same network of nonlocally coupled identical oscillators. These are two different partial synchronization patterns, where spatially coherent domains…

Adaptation and Self-Organizing Systems · Physics 2021-12-08 Tanmoy Banerjee , Debabrata Biswas , Debarati Ghosh , Eckehard Schoell , Anna Zakharova

Inhibitory neurons play a crucial role in maintaining persistent neuronal activity. Although connected extensively through electrical synapses (gap-junctions), these neurons also exhibit interactions through chemical synapses in certain…

Neurons and Cognition · Quantitative Biology 2021-04-08 R. Janaki , A. S. Vytheeswaran

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

We study the transition from a silent state to a bursting state by varying the dc stimulus in the Hindmarsh-Rose neuron under quasiperiodic stimulation. For this quasiperiodically forced case, a new type of strange nonchaotic (SN) bursting…

Biological Physics · Physics 2011-11-01 Woochang Lim , Sang-Yoon Kim

We consider two coupled populations of leaky integrate-and-fire neurons. Depending on the coupling strength, mean fields generated by these populations can have incommensurate frequencies, or become frequency locked. In the observed 2:1…

Adaptation and Self-Organizing Systems · Physics 2016-03-23 M. I. Bolotov , G. V. Osipov , A. Pikovsky

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…

Chaotic Dynamics · Physics 2017-11-17 Saptarshi Ghosh , Anna Zakharova , Sarika Jalan

We report the emergent dynamics of a community structured modular network of chaotic Hindmarsh-Rose (HR) neurons with inhibitory synapses. We find the inhibitory coupling between the neuronal modules lead to complete synchronization of…

Chaotic Dynamics · Physics 2018-03-23 Kunal Mozumdar , G. Ambika

Chimera states are dynamical patterns in networks of coupled oscillators in which regions of synchronous and asynchronous oscillation coexist. Although these states are typically observed in large ensembles of oscillators and analyzed in…

Pattern Formation and Solitons · Physics 2016-02-03 Mark J. Panaggio , Daniel M. Abrams , Peter Ashwin , Carlo R. Laing

The emergence of order in nature manifests in different phenomena, with synchronization being one of the most representative examples. Understanding the role played by the interactions between the constituting parts of a complex system in…

Pattern Formation and Solitons · Physics 2025-10-22 Riccardo Muolo , Joseph D. O'Brien , Timoteo Carletti , Malbor Asllani

We study the dynamics of mobile, locally coupled identical oscillators in the presence of coupling delays. We find different kinds of chimera states, in which coherent in-phase and anti-phase domains coexist with incoherent domains. These…

Adaptation and Self-Organizing Systems · Physics 2018-01-29 Gabriela Petrungaro , Koichiro Uriu , Luis G. Morelli

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…

Adaptation and Self-Organizing Systems · Physics 2023-06-21 Seungjae Lee , Katharina Krischer

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…

Chaotic Dynamics · Physics 2017-04-19 Saptarshi Ghosh , Anil Kumar , Anna Zakharova , Sarika Jalan

Chimera states and bump states are collective synchronization phenomena observed independently (at different parameter regions) in networks of coupled nonlinear oscillators. And while chimera states are characterized by coexistence of…

Chaotic Dynamics · Physics 2024-10-21 Astero Provata , Yannis Almirantis , Wentian Li

We study networks of non-locally coupled electronic oscillators that can be described approximately by a Kuramoto-like model. The experimental networks show long complex transients from random initial conditions on the route to network…

Adaptation and Self-Organizing Systems · Physics 2014-10-03 David P. Rosin , Damien Rontani , Nicholas D. Haynes , Eckehard Schöll , Daniel J. Gauthier

Nonlinear systems possessing nonattracting chaotic sets, such as chaotic saddles, embedded in their state space may oscillate chaotically for a transient time before eventually transitioning into some stable attractor. We show that these…

Chaotic Dynamics · Physics 2023-07-14 Everton S. Medeiros , Oleh Omel'chenko , Ulrike Feudel

Chimera-like states are manifested through the coexistence of synchronous and asynchronous dynamics and have been observed in various systems. To analyze the role of network topology in giving rise to chimera-like states we study a…

Pattern Formation and Solitons · Physics 2017-04-20 Bo Li , David Saad

Chimera state is a recently discovered dynamical phenomenon in arrays of nonlocally coupled oscillators, that displays a self-organized spatial pattern of co-existing coherence and incoherence. We discuss the appearance of the chimera…

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…

Chaotic Dynamics · Physics 2021-10-27 Patrycja Jaros , Roman Levchenko , Tomasz Kapitaniak , Yuri Maistrenko

We study numerically the development of chimera states in networks of nonlocally coupled oscillators whose limit cycles emerge from a Hopf bifurcation. This dynamical system is inspired from population dynamics and consists of three…