Discrete hybrid Izhikevich neuron model: Nodal and network behaviours considering electromagnetic flux coupling

SS Muni, K Rajagopal, A Karthikeyan, S Arun - Chaos, Solitons & Fractals, 2022 - Elsevier
We analyse the dynamics of the improved discretised version of the well known Izhikevich
neuron model under the action of external electromagnetic field. It is found that the improved …

Route to chaos and chimera states in a network of memristive Hindmarsh-Rose neurons model with external excitation

SS Muni, Z Njıtacke, C Feudjio, T Fozin… - Chaos Theory and …, 2022 - dergipark.org.tr
In this paper we have introduced and investigated the collective behavior of a network of
memristive Hindmarsh-Rose (HR) neurons. The proposed model was built considering the …

Complex dynamics of a heterogeneous network of Hindmarsh-Rose neurons

ZT Njitacke, SS Muni, S Seth, J Awrejcewicz… - Physica …, 2023 - iopscience.iop.org
This contribution is devoted to the study of the collective behavior of two HR neurons
followed by a network of HR neurons. The collective behavior of the two coupled neuron …

Repulsive inter-layer coupling induces anti-phase synchronization

IA Shepelev, SS Muni, E Schöll… - … Interdisciplinary Journal of …, 2021 - pubs.aip.org
We present numerical results for the synchronization phenomena in a bilayer network of
repulsively coupled 2D lattices of van der Pol oscillators. We consider the cases when the …

Transition from chimera/solitary states to traveling waves

E Rybalova, S Muni, G Strelkova - Chaos: An Interdisciplinary Journal …, 2023 - pubs.aip.org
We study numerically the spatiotemporal dynamics in a ring network of nonlocally coupled
nonlinear oscillators, each represented by a two-dimensional discrete-time model of the …

[HTML][HTML] 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 …

Anti-phase synchronization of waves in a multiplex network of van der Pol oscillators

IA Shepelev, AV Bukh, GI Strelkova - Chaos, Solitons & Fractals, 2022 - Elsevier
We study numerically the spatiotemporal dynamics and anti-phase synchronization of
complex structures in a two-layer multiplex network of bidirectionally and repulsively …

Symmetry-breaking higher-order interactions in coupled phase oscillators

D Biswas, S Gupta - Chaos, Solitons & Fractals, 2024 - Elsevier
This paper investigates the route to synchronization in an extension of the Kuramoto model,
which incorporates higher order interactions and do not preserve rotational symmetry …

Identification of single-and double-well coherence–incoherence patterns by the binary distance matrix

V dos Santos, MR Sales, SS Muni… - … in Nonlinear Science …, 2023 - Elsevier
The study of chimera states or, more generally, coherence–incoherence patterns has led to
the development of several tools for their identification and characterization. In this work, we …

[HTML][HTML] Spatiotemporal patterns and collective dynamics of bi-layer coupled Izhikevich neural networks with multi-area channels

G Wang, Y Fu - Mathematical Biosciences and Engineering, 2023 - aimspress.com
The firing behavior and bifurcation of different types of Izhikevich neurons are analyzed
firstly through numerical simulation. Then, a bi-layer neural network driven by random …