On the Hierarchy of Attractors in Dynamical Models of Complex Networks

AIP Conference Proceedings. Vol.2849: International Conference on Numerical Analysis and Applied Mathematics (ICNAAM 2021) 2023
Felix Sadyrbaev, Inna Samuilika

Dynamical models for evolving networks are considered. Future states of networks are tightly associated with attractors of the dynamical system in a model. We discuss, how attractors for high-dimensional systems can be constructed, using known attractors of low-dimensional systems. As an example, two dimensional systems with a parameter k are considered. Their attractors are well understood and can be visualized. Then the four-dimensional system is composed of two different two-dimensional systems. The four-dimensional attractor emerges. It can be visualized considering two-dimensional and three-dimensional projections. Systems of any dimensions can be constructed similarly with attractors which possess prescribed properties.

Keywords
attractor
DOI
10.1063/5.0163654
Hyperlink
https://pubs.aip.org/aip/acp/article-abstract/2849/1/120005/2909027/On-the-hierarchy-of-attractors-in-dynamical-models?redirectedFrom=fulltext

Sadyrbaev, F., Samuilika, I. On the Hierarchy of Attractors in Dynamical Models of Complex Networks. No: AIP Conference Proceedings. Vol.2849: International Conference on Numerical Analysis and Applied Mathematics (ICNAAM 2021), Grieķija, Rhodes, 20.-26. novembris, 2021. Melville: AIP Publishing, 2023, Article number 120005. ISSN 0094-243X. Pieejams: doi:10.1063/5.0163654

Publication language
English (en)