Chimeras in globally coupled oscillators: A review

A Mishra, S Saha, SK Dana - Chaos: An Interdisciplinary Journal of …, 2023 - pubs.aip.org
The surprising phenomenon of chimera in an ensemble of identical oscillators is no more
strange behavior of network dynamics and reality. By this time, this symmetry breaking self …

Multiplexing noise induces synchronization in multilayer networks

EV Rybalova, TE Vadivasova, GI Strelkova… - Chaos, Solitons & …, 2022 - Elsevier
We study numerically the spatio-temporal behavior of a two-layer multiplex network of
bistable cubic maps when the interlayer coupling is modulated by noise. We refer to this …

On the analysis of a heterogeneous coupled network of memristive Chialvo neurons

I Ghosh, SS Muni, HO Fatoyinbo - Nonlinear Dynamics, 2023 - Springer
We perform a numerical study on the application of electromagnetic flux on a heterogeneous
network of Chialvo neurons represented by a ring-star topology. Heterogeneities are …

Unbalanced clustering and solitary states in coupled excitable systems

I Franović, S Eydam, N Semenova… - … Journal of Nonlinear …, 2022 - pubs.aip.org
We discover the mechanisms of emergence and the link between two types of symmetry-
broken states, the unbalanced periodic two-cluster states and solitary states, in coupled …

Multiplexing-based control of stochastic resonance

VV Semenov, A Zakharova - Chaos: An Interdisciplinary Journal of …, 2022 - pubs.aip.org
We show that multiplexing (Here, the term “multiplexing” means a special network topology
where a one-layer network is connected to another one-layer networks through coupling …

Synchronization and chimera in a multiplex network of Hindmarsh–Rose neuron map with flux-controlled memristor

W Fan, H Wu, Z Li, Q Xu - The European Physical Journal Special Topics, 2022 - Springer
In network analysis, using discrete models, known as map models, brings advantages to the
network since such models are more flexible and efficient than continuous ones. Memristor …

Revelation and experimental verification of quasi-periodic bursting, periodic bursting, periodic oscillation in third-order non-autonomous memristive FitzHugh-Nagumo …

Y Lin, W Liu, C Hang - Chaos, Solitons & Fractals, 2023 - Elsevier
It has been declared that constructing physical hardware circuits with the reproduction of
abundant electrical activities of neurons is significant in neuron-based engineering …

An adaptive synchronization approach in a network composed of four neurons with energy diversity

F Yang, Y Wang, J Ma - Indian Journal of Physics, 2023 - Springer
Due to the diversity in excitability and some intrinsic parameters, these neurons present
different firing patterns and energy diversity becomes distinct. As a result, flexible synapses …

Delayed-feedback oscillators replicate the dynamics of multiplex networks: wavefront propagation and stochastic resonance

A Zakharova, VV Semenov - arXiv preprint arXiv:2402.16551, 2024 - arxiv.org
The widespread development and use of neural networks have significantly enriched a wide
range of computer algorithms and promise higher speed at lower cost. However, the …

Composed solutions of synchronized patterns in multiplex networks of Kuramoto oscillators

PB Jain, TT Nguyen, J Mináč, LE Muller… - … Journal of Nonlinear …, 2023 - pubs.aip.org
Networks with different levels of interactions, including multilayer and multiplex networks,
can display a rich diversity of dynamical behaviors and can be used to model and study a …