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Calculation of travelling chimera speeds for dynamical systems with ring topologies
P. 61–64.
Travelling chimera states are a dynamical regime in homogeneous networks where coherent and incoherent domains coexist and the latter moves across the network with time. For such travelling chimeras we can define its speed as a number of elements by which an incoherent domain is shifted per unit time. In this paper, we propose a new approach to calculate the speed of such traveling chimeras. We validate our method by computing the travelling chimera speed in a ring of type-II Morris-Lecar neurons with asymmetrical nonlocal inhibitory connectivity. The main advantage of our approach is that all computations of the speed can be done automatically, opening new opportunities for large-scale scanning and analysis of parametric regions in dynamic systems.
Khorunzheva K., Postnikov E., Zakharov D., Chaos, Solitons and Fractals 2026 Vol. 212 No. 2 Article 118958
Identification of coherent states of spiking neural networks is a fundamental problem of
synchronization theory but conventional methods are computationally expensive. We apply
the crystallographic ideas of processing periodic structures to the analysis of various
states of spiking neuronal networks. In particular, the introduced approach is based on
the application of two-dimensional Fourier transform to rasterplots. By the position ...
Added: August 13, 2026
D. Radushev, O. Dogonasheva, B. Gutkin et al., Chaos 2026 Vol. 36 No. 5 Article 053145
In recent decades, analysis of dynamic states in neural networks has become an important direction of the synchronization theory. One of the most interesting neuronal network states is the chimera state, in which coherent and incoherent activity clusters coexist. While chimera states have been shown to exist in various networks, their precise automatic identification in ...
Added: May 13, 2026
Рудавин Н. В., Ящук В. Ю., Феимов А. А. et al., Журнал технической физики 2026 Т. 96 № 2 С. 341–356
В коммерческих устройствах квантового распределения ключей (КРК) высокая точность синхронизации между генераторами опорных частот передатчика и приемника играет ключевую роль для обеспечения их функционирования. Предложена реализация системы коррекции разницы частот генераторов для устройства КРК. Подробно описаны оптическая схема системы синхронизации, двухступенчатый метод коррекции частот и помехоустойчивый метод автоматического определения момента старта приема и передачи квантовых ...
Added: January 12, 2026
Daniil Radushev, Dogonasheva O., Gutkin B. et al., Chaos, Solitons and Fractals 2026 Vol. 203 Article 117645
The formation of coherent activity patterns in neuronal populations presents challenges to synchronization theory. These patterns
are often involved in cognitive tasks and typically last for short durations [2,3]. Furthermore, they do not involve all neurons in
the network, but only the subsets required for specific computations.
Numerous approaches exist to classify synchronous regimes in neuronal networks using ...
Added: November 28, 2025
Cham: Springer, 2025.
This book constitutes the refereed proceedings of 34th International Workshops which were held in conjunction with the 34th International Conference on Artificial Neural Networks and Machine Learning, ICANN 2025, held in Kaunas, Lithuania, September 9–12, 2025.
The 20 full papers and 8 abstracts included in this workshop volume were carefully reviewed and selected from 42 submissions. ...
Added: September 29, 2025
Lubashevsky I., Yashina M., Lubashevskiy V., Synchroinfo Journal 2025 Vol. 11 No. 1 P. 34–40
We propose a novel model of oscillatory chains that generalizes the contour discrete model of Buslaev nets. The model offers a continuous description of conflicts in system dynamics, interpreted as interactions between neighboring oscillators when their phases lie within defined interaction sectors. The size of the interaction sector can be seen as a measure of vehicle density within clusters ...
Added: September 23, 2025
Makovkin S., Kozinov E., Ivanchenko M. et al., Scientific Reports 2022 Vol. 12 No. 1 P. 0
Recent in vitro and in vivo experiments demonstrate that astrocytes participate in the maintenance of cortical gamma oscillations and recognition memory. However, the mathematical understanding of the underlying dynamical mechanisms remains largely incomplete. Here we investigate how the interplay of slow modulatory astrocytic signaling with fast synaptic transmission controls coherent oscillations in the network of ...
Added: April 9, 2025
Olesia Dogonasheva, Boris Gutkin, Denis Zakharov, European Physical Journal: Special Topics 2025 Vol. 234 P. 4453–4467
In this paper we consider a pyramidal-interneuron gamma (PING) network consisting of interacting subnetworks of pyramidal cells and interneurons. The main question we have addressed is the dependence of cluster formation processes on the chemical synapse weights and the ionic currents (AHP- and M-current) of the pyramidal neurons that underlie the frequency adaptation and the ...
Added: March 15, 2025
Pospelov N., Chertkov A., Beketov M. et al., Neurocomputing 2025 Vol. 618 Article 129070
Elements of neural networks, both biological and artificial, can be described by their selectivity for specific cognitive features. Understanding these features is important for understanding the inner workings of neural networks. For a living system, such as a neuron, whose response to a stimulus is unknown and not differentiable, the only way to reveal these ...
Added: December 14, 2024
Fedorova A., Jovišić N., Vallverdù J. et al., Advanced Electronic Materials 2024 Vol. 10 No. 12 Article 2400258
The energy efficiency of Artificial Intelligence (AI) systems is a crucial and actual issue that may have an important impact on an ecological, economic and technological level. Spiking Neural Networks (SNNs) are strongly suggested as valid candidates able to overcome Artificial Neural Networks (ANNs) in this specific contest. In this study, the proposal involves the ...
Added: December 12, 2024
Киселев А. Р., Посненкова О. М., Караваев А. С. et al., Biomedicines 2024 Vol. 12 No. 9 Article 2088
Heart rate variability (HRV) and photoplethysmographic waveform variability (PPGV) are available approaches for assessing the state of cardiovascular autonomic regulation. The goal of our study was to compare the frequency-domain features and low-frequency (LF) synchro nization of the PPGV and HRV with increasing severity of cardiovascular diseases. Methods—Our study included 998 electrocardiogram (ECG) and finger ...
Added: November 25, 2024
Latypov I., Dautova T., Социологические исследования 2024 № 10 С. 15–24
The article offers a review of the sociological concepts of time in order to systematize the available theoretical resources. An analysis of empirical studies of time on the subject of the life course is also given. Social time differs from other types of time that are typical for other disciplines. Time in sociology is understood ...
Added: November 18, 2024
Olesia Dogonasheva, Daniil Radushev, Boris Gutkin et al., Communications in Nonlinear Science and Numerical Simulation 2025 Vol. 140 Article 108321
Methods that distinguish dynamical regimes in networks of active elements make it possible to design the dynamics of models of realistic networks. A particularly salient example of such dynamics is partial synchronization, which may play a pivotal role in emergent behaviors of biological neural networks. Such emergent partial synchronization in structurally homogeneous networks is commonly ...
Added: August 31, 2024
Lazarevich I., Prokin I., Гуткин Б. С. et al., PLoS Computational Biology 2023 Vol. 19 No. 1 P. 1–18
Modern well-performing approaches to neural decoding are based on machine learning
models such as decision tree ensembles and deep neural networks. The wide range of algorithms
that can be utilized to learn from neural spike trains, which are essentially time-series
data, results in the need for diverse and challenging benchmarks for neural decoding, similar
to the ones in the ...
Added: March 18, 2024