Chimera patterns in networks

A Zakharova - Springer, 2020 - Springer
Synchronization phenomena represent one of the central issues in the modern research, in
particular, on nonlinear dynamics, network science, and statistical physics with applications …

A new memristive neuron map model and its network's dynamics under electrochemical coupling

B Ramakrishnan, M Mehrabbeik, F Parastesh… - Electronics, 2022 - mdpi.com
A memristor is a vital circuit element that can mimic biological synapses. This paper
proposes the memristive version of a recently proposed map neuron model based on the …

Patterns of neuronal synchrony in higher-order networks

S Majhi, S Ghosh, PK Pal, S Pal, TK Pal, D Ghosh… - Physics of Life …, 2024 - Elsevier
Synchrony in neuronal networks is crucial for cognitive functions, motor coordination, and
various neurological disorders. While traditional research has focused on pairwise …

Birth and stabilization of phase clusters by multiplexing of adaptive networks

R Berner, J Sawicki, E Schöll - Physical review letters, 2020 - APS
We propose a concept to generate and stabilize diverse partial synchronization patterns
(phase clusters) in adaptive networks which are widespread in neuroscience and social …

Collective behavior in a two-layer neuronal network with time-varying chemical connections that are controlled by a Petri net

A Bahramian, F Parastesh, VT Pham… - … Journal of Nonlinear …, 2021 - pubs.aip.org
In this paper, we propose and study a two-layer network composed of a Petri net in the first
layer and a ring of coupled Hindmarsh–Rose neurons in the second layer. Petri nets are …

Inhibition-induced explosive synchronization in multiplex networks

S Jalan, V Rathore, AD Kachhvah, A Yadav - Physical Review E, 2019 - APS
To date, explosive synchronization (ES) in a network is shown to be originated from
considering either degree-frequency correlation, frequency-coupling strength correlation …

Interplay between solitary states and chimeras in multiplex neural networks

EV Rybalova, A Zakharova, GI Strelkova - Chaos, Solitons & Fractals, 2021 - Elsevier
We study numerically the spatiotemporal dynamics and synchronization of a heterogeneous
two-layer multiplex network where each layer is represented by a ring of nonlocally coupled …

Solitary states in multiplex neural networks: Onset and vulnerability

L Schülen, DA Janzen, ES Medeiros… - Chaos, Solitons & …, 2021 - Elsevier
We investigate solitary states in a two-layer multiplex network of FitzHugh-Nagumo neurons
in the oscillatory regime. We demonstrate how solitary states can be induced in a multiplex …

Solitary states in adaptive nonlocal oscillator networks

R Berner, A Polanska, E Schöll, S Yanchuk - The European Physical …, 2020 - Springer
In this article, we analyze a nonlocal ring network of adaptively coupled phase oscillators.
We observe a variety of frequency-synchronized states such as phase-locked, multicluster …

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 …