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 …

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

A Zakharova, VV Semenov - Neural Networks, 2025 - Elsevier
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 …

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 …

Fixed‐time synchronization in multilayer networks with delay Cohen–Grossberg neural subnets via adaptive quantitative control

F Tan, L Zhou, J Lu, H Zhang - Asian Journal of Control, 2024 - Wiley Online Library
In this paper, fixed‐time synchronization of nonlinear stochastic coupling multilayer neural
networks is studied. The neural subnets in the multilayer networks are delay Cohen …

Multiplexing-based control of wavefront propagation: The interplay of inter-layer coupling, asymmetry and noise

VV Semenov, S Jalan, A Zakharova - Chaos, Solitons & Fractals, 2023 - Elsevier
We show how multiplexing influences propagating fronts in multilayer networks of coupled
bistable oscillators. Using numerical simulation, we investigate both deterministic and noise …

Chimera states in multiplex networks: Chameleon-like across-layer synchronization

RG Andrzejak, A Espinoso - Chaos: An Interdisciplinary Journal of …, 2023 - pubs.aip.org
Different across-layer synchronization types of chimera states in multilayer networks have
been discovered recently. We investigate possible relations between them, for example, if …

Control costs of long-range interacting multi-agent systems with noise perturbation

X Yin, H Dai, L Zhao, D Zhao, R Xiao, Y Sun - Chaos, Solitons & Fractals, 2024 - Elsevier
As an important stage of collective dynamics, consensus is widespread in real-world moving
groups, where one of the long-term challenges is to optimize the control costs of reaching …

Chimera resonance in networks of chaotic maps

E Rybalova, V Nechaev, E Schöll… - … Journal of Nonlinear …, 2023 - pubs.aip.org
We explore numerically the impact of additive Gaussian noise on the spatiotemporal
dynamics of ring networks of nonlocally coupled chaotic maps. The local dynamics of …

Impact of multiplexing noise on multilayer networks of bistable maps

N Nikishina, E Rybalova, A Zakharova… - Physica D: Nonlinear …, 2024 - Elsevier
We explore numerically the complex dynamics of multilayer networks (consisting of three
and one hundred layers) of cubic maps in the presence of noise-modulated interlayer …

Introduction to focus issue: Control of self-organizing nonlinear systems

SHL Klapp, A Zakharova, I Schneider - Chaos: An Interdisciplinary …, 2024 - pubs.aip.org
Nonlinear dynamical systems far from thermodynamic equilibrium often exhibit self-
organization, ie, the spontaneous emergence of temporal, spatial, or spatiotemporal …