A4 Article in conference proceedings
Topology of multiplex heterogeneous networks of Hodgkin-Huxley-type of models with bistability leading to stabilization stable equilibrium (2021)

Stankevich, N., & Neittaanmäki, P. (2021). Topology of multiplex heterogeneous networks of Hodgkin-Huxley-type of models with bistability leading to stabilization stable equilibrium. In DCNA 2021 : 5th Scientific School : Dynamics of Complex Networks and their Applications (pp. 194-197). IEEE. https://doi.org/10.1109/DCNA53427.2021.9587233

JYU authors or editors

Publication details

All authors or editors: Stankevich, Nataliya; Neittaanmäki, Pekka

Parent publication: DCNA 2021 : 5th Scientific School : Dynamics of Complex Networks and their Applications

Place and date of conference: Kaliningrad, Russia, 13.-15.9.2021

eISBN: 978-1-6654-4282-4

Publication year: 2021

Publication date: 13/09/2021

Pages range: 194-197

Publisher: IEEE

Publication country: United States

Publication language: English

DOI: https://doi.org/10.1109/DCNA53427.2021.9587233

Publication open access: Not open

Publication channel open access: 

Abstract

The dynamics of a multiplex heterogeneous networks of oscillators is studied. Two types of very similar models based on the Hodgkin-Huxley formalism are used as the basic elements of the network: the first one demonstrates bursting oscillations; the second one manifests bistability between bursting oscillations and stable equilibrium. Multiplex networks were developed and investigated, assuming more active communication between models with bistability. Different topologies of the networks are studied. It is shown that in this case it is enough to have one element with bistability in the subnetworks in order to stabilize the equilibrium state in the entire network.

Keywords: neural networks (biology); oscillations; mathematical models; dynamical systems; attractors

Free keywords: network; bistability; bursting oscillations; ion channel; Hodgkin-Huxley formalism

Contributing organizations

Ministry reporting: Yes

Reporting Year: 2022

JUFO rating: 1