Dynamics of a two-layer neuronal network with asymmetry in coupling

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F62690094%3A18450%2F23%3A50019759" target="_blank" >RIV/62690094:18450/23:50019759 - isvavai.cz</a>

Result on the web

<a href="http://www.aimspress.com/article/doi/10.3934/mbe.2023137" target="_blank" >http://www.aimspress.com/article/doi/10.3934/mbe.2023137</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.3934/mbe.2023137" target="_blank" >10.3934/mbe.2023137</a>

Result language

angličtina

Original language name

Dynamics of a two-layer neuronal network with asymmetry in coupling

Original language description

Investigating the effect of changes in neuronal connectivity on the brain&apos;s behavior is of interest in neuroscience studies. Complex network theory is one of the most capable tools to study the effects of these changes on collective brain behavior. By using complex networks, the neural structure, function, and dynamics can be analyzed. In this context, various frameworks can be used to mimic neural networks, among which multi-layer networks are a proper one. Compared to single-layer models, multi-layer networks can provide a more realistic model of the brain due to their high complexity and dimensionality. This paper examines the effect of changes in asymmetry coupling on the behaviors of a multi-layer neuronal network. To this aim, a two-layer network is considered as a minimum model of left and right cerebral hemispheres communicated with the corpus callosum. The chaotic model of Hindmarsh-Rose is taken as the dynamics of the nodes. Only two neurons of each layer connect two layers of the network. In this model, it is assumed that the layers have different coupling strengths, so the effect of each coupling change on network behavior can be analyzed. As a result, the projection of the nodes is plotted for several coupling strengths to investigate how the asymmetry coupling influences the network behaviors. It is observed that although no coexisting attractor is present in the Hindmarsh-Rose model, an asymmetry in couplings causes the emergence of different attractors. The bifurcation diagrams of one node of each layer are presented to show the variation of the dynamics due to coupling changes. For further analysis, the network synchronization is investigated by computing intra-layer and inter-layer errors. Calculating these errors shows that the network can be synchronized only for large enough symmetric coupling. ©2023 the Author(s).

Czech name

—

Czech description

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Type

J_imp - Article in a specialist periodical, which is included in the Web of Science database

CEP classification

—

OECD FORD branch

10103 - Statistics and probability

Project

—

Continuities

S - Specificky vyzkum na vysokych skolach

Publication year

2023

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

Mathematical Biosciences and Engineering

ISSN

1547-1063

e-ISSN

1551-0018

Volume of the periodical

20

Issue of the periodical within the volume

2

Country of publishing house

US - UNITED STATES

Number of pages

12

Pages from-to

2908-2919

UT code for WoS article

000944657100050

EID of the result in the Scopus database

2-s2.0-85143887383