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
VIRTA submission year: 2022
JUFO rating: 1