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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

In this paper, the complete synchronization problem of linearly coupled neural networks with reaction-diffusion terms and time-varying delays via aperiodically intermittent pinning control is investigated. The coupling matrix for the…

Systems and Control · Computer Science 2016-04-13 Xiwei Liu , Zhang Chen , Lingjun Zhou

We investigate the influence of time-delayed coupling in a ring network of non-locally coupled Stuart-Landau oscillators upon chimera states, i.e., space-time patterns with coexisting partially coherent and partially incoherent domains. We…

Adaptation and Self-Organizing Systems · Physics 2017-05-03 Aleksandar Gjurchinovski , Eckehard Schöll , Anna Zakharova

Inhibitory interneurons, ubiquitous in the central nervous system, form networks connected through both chemical synapses and gap junctions. These networks are essential for regulating the activity of principal neurons, especially by…

Neurons and Cognition · Quantitative Biology 2025-05-09 Hélène Todd , Mathieu Desroches , Alex Cayco-Gajic , Boris Gutkin

We analyze partial synchronization patterns in a network of FitzHugh-Nagumo oscillators with empirical structural connectivity measured in healthy human subjects. We report a dynamical asymmetry between the hemispheres, induced by the…

Adaptation and Self-Organizing Systems · Physics 2019-07-17 Lukas Ramlow , Jakub Sawicki , Anna Zakharova , Jaroslav Hlinka , Jens Christian Claussen , Eckehard Schöll

The role of synchronous firing in sensory coding and cognition remains controversial. While studies, focusing on its mechanistic consequences in attentional tasks, suggest that synchronization dynamically boosts sensory processing, others…

Neurons and Cognition · Quantitative Biology 2019-05-07 Siavash Ghavami , Vahid Rahmati , Farshad Lahouti , Lars Schwabe

We study the influence of nonuniform motion of oscillators in a ring chain with nonlocal coupling on their collective dynamics and reveal the mechanism behind the emergence of an atypical chimera state in such systems. The mechanism relies…

Pattern Formation and Solitons · Physics 2025-12-02 Pavel A. Shcherbakov , Lev A. Smirnov , Vasily A. Kostin , Maxim I. Bolotov , Grigory V. Osipov

We investigate two types of chimera states, i.e., patterns consisting of coexisting spatially separated domains with coherent and incoherent dynamics, in ring networks of Stuart-Landau oscillators with symmetry-breaking coupling, under the…

Adaptation and Self-Organizing Systems · Physics 2016-01-27 Sarah A. M. Loos , Jens Christian Claussen , Eckehard Schöll , Anna Zakharova

We investigate the synchronization between two neurons using the stochastic version of the map-based Chialvo model. To simulate non-identical neurons, a mismatch is introduced in one of the main parameters of the model. Subsequently, the…

Chaotic Dynamics · Physics 2024-04-12 Javier Used , Jesús Seoane , Irina Bashkirtseva , Lev Ryashko , Miguel A. F. Sanjuan

Chimera states are among the most intriguing phenomena in nonlinear dynamics, characterized by the coexistence of coherent and incoherent behavior in systems of coupled identical oscillators. Many methods have been proposed to detect…

Pattern Formation and Solitons · Physics 2026-05-12 Rommel Tchinda Djeudjo , Riccardo Muolo , Thierry Njougouo , Timoteo Carletti

Synchronization of neural activity in the gamma frequency band is associated with various cognitive phenomena. Abnormalities of gamma synchronization may underlie symptoms of several neurological and psychiatric disorders such as…

Neurons and Cognition · Quantitative Biology 2024-07-02 Quynh-Anh Nguyen , Leonid L Rubchinsky

We investigated interactions within chimera states in a phase oscillator network with two coupled subpopulations. To quantify interactions within and between these subpopulations, we estimated the corresponding (delayed) mutual information…

Adaptation and Self-Organizing Systems · Physics 2019-07-09 Nicolás Deschle , Andreas Daffertshofer , Demian Battaglia , Erik A. Martens

Partial synchronization is characteristic phase dynamics of coupled oscillators on various natural and artificial networks, which can remain undetected due to the complexity of the systems. With an analogy between pairwise asynchrony of…

Disordered Systems and Neural Networks · Physics 2023-08-23 Yasuhiro Yamada , Kensuke Inaba

We consider the coupling between two networks, each having N nodes whose individual dynamics is modeled by a two-state master equation. The intra-network interactions are all to all, whereas the inter-network interactions involve only a…

Adaptation and Self-Organizing Systems · Physics 2015-08-14 Malgorzata Turalska , Adam Svenkeson , Bruce J. West

Spiking Neural Networks (SNNs) have gained increasing attention as energy-efficient neural networks owing to their binary and asynchronous computation. However, their non-linear activation, that is Leaky-Integrate-and-Fire (LIF) neuron,…

Neural and Evolutionary Computing · Computer Science 2023-05-31 Youngeun Kim , Yuhang Li , Abhishek Moitra , Ruokai Yin , Priyadarshini Panda

Optimization of mutual synchronization between a pair of limit-cycle oscillators with weak symmetric coupling is considered in the framework of the phase reduction theory. By generalizing a previous study on the optimization of…

Adaptation and Self-Organizing Systems · Physics 2019-10-09 Nobuhiro Watanabe , Yuzuru Kato , Sho Shirasaka , Hiroya Nakao

We investigate the emergence of amplitude and frequency chimera states in ring-star networks consisting of identical Chua circuits connected via nonlocal diffusive, bidirectional coupling. We first identify single-well chimera patterns in a…

Adaptation and Self-Organizing Systems · Physics 2020-08-06 S. S. Muni , A. Provata

We present an approach which enables to state about the existence of phase synchronization in coupled chaotic oscillators without having to measure the phase. This is done by observing the oscillators at special times, and analyzing whether…

Statistical Mechanics · Physics 2009-11-13 T. Pereira , M. S. Baptista , J. Kurths

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

The dynamics of a semiconductor-laser array whose individual elements are coupled in a global way through an external mirror is numerically analysed. A coherent in-phase solution is seen to be preferred by the system at intermediate values…

adap-org · Physics 2015-06-24 J. Garcia-Ojalvo , J. Casademont , C. R. Mirasso , M. C. Torrent , J. M. Sancho