On Modelling of Complex Networks

20th International Scientific Conference "Engineering for Rural Development": Proceedings. Vol.20 2021
Svetlana Atslega, Felix Sadyrbaev, Inna Samuilika

A network is considered, which is modelled by a system of ordinary differential equations. The dynamics of a network depends on the attracting sets in a phase space. The problem of control and management of this network is in a focus of our study. The specific case is considered, where attractors are periodic trajectories. We provide the way of controlling the network by changing of a certain group of parameters. The numerical approach combined with the analytical solutions is used. As a by-product, the existence of multiple periodic solutions is proved. They are constructed explicitly for a specific three-dimensional system. Problems of control and management of systems of this kind are challenging issues in the theory of genetic networks.

Atslēgas vārdi
nullclines, critical points, attracting sets
DOI
10.22616/ERDev.2021.20.TF223
Hipersaite
http://www.tf.llu.lv/conference/proceedings2021/Papers/TF223.pdf

Atslega, S., Sadirbajevs, F., Samuilika, I. On Modelling of Complex Networks. No: 20th International Scientific Conference "Engineering for Rural Development": Proceedings. Vol.20, Latvija, Jelgava, 26.-28. maijs, 2021. Jelgava: Latvia University of Life Sciences and Technologies, 2021, 1009.-1014.lpp. ISSN 1691-5976. Pieejams: doi:10.22616/ERDev.2021.20.TF223

Publikācijas valoda
English (en)