On the higher-order smallest ring-star network of Chialvo neurons under diffusive couplings

Simple item page
dc.citation.issue7
dc.citation.volume34
dc.contributor.authorNair AS
dc.contributor.authorGhosh I
dc.contributor.authorFatoyinbo HO
dc.contributor.authorMuni SS
dc.coverage.spatialUnited States
dc.date.accessioned2024-10-20T23:09:26Z
dc.date.available2024-10-20T23:09:26Z
dc.date.issued2024-07-18
dc.description.abstractNetwork dynamical systems with higher-order interactions are a current trending topic, pervasive in many applied fields. However, our focus in this work is neurodynamics. We numerically study the dynamics of the smallest higher-order network of neurons arranged in a ring-star topology. The dynamics of each node in this network is governed by the Chialvo neuron map, and they interact via linear diffusive couplings. This model is perceived to imitate the nonlinear dynamical properties exhibited by a realistic nervous system where the neurons transfer information through multi-body interactions. We deploy the higher-order coupling strength as the primary bifurcation parameter. We start by analyzing our model using standard tools from dynamical systems theory: fixed point analysis, Jacobian matrix, and bifurcation patterns. We observe the coexistence of disparate chaotic attractors. We also observe an interesting route to chaos from a fixed point via period-doubling and the appearance of cyclic quasiperiodic closed invariant curves. Furthermore, we numerically observe the existence of codimension-1 bifurcation points: saddle-node, period-doubling, and Neimark-Sacker. We also qualitatively study the typical phase portraits of the system, and numerically quantify chaos and complexity using the 0-1 test and sample entropy measure, respectively. Finally, we study the synchronization behavior among the neurons using the cross correlation coefficient and the Kuramoto order parameter. We conjecture that unfolding these patterns and behaviors of the network model will help us identify different states of the nervous system, further aiding us in dealing with various neural diseases and nervous disorders.
dc.description.confidentialfalse
dc.edition.edition2024
dc.format.pagination073135-
dc.identifier.author-urlhttps://www.ncbi.nlm.nih.gov/pubmed/39038467
dc.identifier.citationNair AS, Ghosh I, Fatoyinbo HO, Muni SS. (2024). On the higher-order smallest ring-star network of Chialvo neurons under diffusive couplings.. Chaos. 34. 7. (pp. 073135-).
dc.identifier.doi10.1063/5.0217017
dc.identifier.eissn1089-7682
dc.identifier.elements-typejournal-article
dc.identifier.issn1054-1500
dc.identifier.number073135
dc.identifier.pii3303765
dc.identifier.urihttps://mro.massey.ac.nz/handle/10179/71773
dc.languageeng
dc.publisherAmerican Institute of Physics
dc.publisher.urihttps://pubs.aip.org/aip/cha/article/34/7/073135/3303765/On-the-higher-order-smallest-ring-star-network-of
dc.relation.isPartOfChaos
dc.rights(c) The author/sen
dc.rights.licenseCC BYen
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/en
dc.subjectNon linear dynamics
dc.subjectSignal processing
dc.subjectGraph theory
dc.subjectPhase space methods
dc.subjectNerve cells
dc.subjectNervous system
dc.subjectNeurodynamics
dc.titleOn the higher-order smallest ring-star network of Chialvo neurons under diffusive couplings
dc.typeJournal article
pubs.elements-id490917
pubs.organisational-groupOther
Files
Original bundle
Now showing 1 - 1 of 1
Thumbnail Image
Name:
Published version.pdf
Size:
4.19 MB
Format:
Adobe Portable Document Format
Description:
490917 PDF.pdf
Download
License bundle
Now showing 1 - 1 of 1
Thumbnail Image
Name:
license.txt
Size:
9.22 KB
Format:
Plain Text
Description:
Download
Collections
Journal Articles