On modelling of artificial networks arising in applications

Svetlana Atslēga; Felix Sadyrbaev

doi:10.22616/ERDev.2020.19.TF430

On modelling of artificial networks arising in applications

Svetlana Atslēga
, Felix Sadyrbaev^*

^*Corresponding author for this work

University of Latvia

Latvia University of Life Sciences and Technologies
University of Latvia

Research output: Chapter in Book/Report/Conference proceeding › Conference paper › Research › peer-review

1 Citation (Scopus)

Abstract

We consider systems of two ordinary differential equations, which describe two-component Genomic Networks (GRN) and VNT (Virtual Network Topology) - controlled two dimensional telecommunication networks. VNT control over network is based on attractor selection like in biological (genomic) networks. We show that besides a set of stable critical points an attractor can be in the form of a stable periodic regime. We show the mechanism of emergence of a limit cycle through the Andronov-Hopf bifurcation. Similar attractors can appear in mathematical models with no limitations on dimensionality.

Original language	English
Title of host publication	Engineering for Rural Development
Place of Publication	Jelgava
Publisher	Latvia University of Life Sciences and Technologies Faculty of Engineering
Pages	1659-1665
Volume	19
DOIs	https://doi.org/10.22616/ERDev.2020.19.TF430
Publication status	Published - 2020

Publication series

Name	Engineering for Rural Development
Publisher	Latvia University of Life Sciences and Technologies
ISSN (Print)	1691-3043

OECD Field of Science

1.2 Computer and Information Sciences

Keywords

Attracting sets
Critical points
Nullclines

Access to Document

10.22616/ERDev.2020.19.TF430

Cite this

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title = "On modelling of artificial networks arising in applications",

abstract = "We consider systems of two ordinary differential equations, which describe two-component Genomic Networks (GRN) and VNT (Virtual Network Topology) - controlled two dimensional telecommunication networks. VNT control over network is based on attractor selection like in biological (genomic) networks. We show that besides a set of stable critical points an attractor can be in the form of a stable periodic regime. We show the mechanism of emergence of a limit cycle through the Andronov-Hopf bifurcation. Similar attractors can appear in mathematical models with no limitations on dimensionality.",

keywords = "Attracting sets, Critical points, Nullclines",

author = "Svetlana Atslēga and Felix Sadyrbaev",

year = "2020",

doi = "10.22616/ERDev.2020.19.TF430",

language = "English",

volume = "19",

series = "Engineering for Rural Development",

publisher = "Latvia University of Life Sciences and Technologies Faculty of Engineering",

pages = "1659--1665",

booktitle = "Engineering for Rural Development",

}

On modelling of artificial networks arising in applications. / Atslēga, Svetlana; Sadyrbaev, Felix.
Engineering for Rural Development. Vol. 19 Jelgava: Latvia University of Life Sciences and Technologies Faculty of Engineering, 2020. p. 1659-1665 (Engineering for Rural Development).

Research output: Chapter in Book/Report/Conference proceeding › Conference paper › Research › peer-review

TY - GEN

T1 - On modelling of artificial networks arising in applications

AU - Atslēga, Svetlana

AU - Sadyrbaev, Felix

PY - 2020

Y1 - 2020

N2 - We consider systems of two ordinary differential equations, which describe two-component Genomic Networks (GRN) and VNT (Virtual Network Topology) - controlled two dimensional telecommunication networks. VNT control over network is based on attractor selection like in biological (genomic) networks. We show that besides a set of stable critical points an attractor can be in the form of a stable periodic regime. We show the mechanism of emergence of a limit cycle through the Andronov-Hopf bifurcation. Similar attractors can appear in mathematical models with no limitations on dimensionality.

AB - We consider systems of two ordinary differential equations, which describe two-component Genomic Networks (GRN) and VNT (Virtual Network Topology) - controlled two dimensional telecommunication networks. VNT control over network is based on attractor selection like in biological (genomic) networks. We show that besides a set of stable critical points an attractor can be in the form of a stable periodic regime. We show the mechanism of emergence of a limit cycle through the Andronov-Hopf bifurcation. Similar attractors can appear in mathematical models with no limitations on dimensionality.

KW - Attracting sets

KW - Critical points

KW - Nullclines

UR - http://www.tf.llu.lv/conference/proceedings2020/Papers/TF430.pdf

UR - https://www.scopus.com/pages/publications/85088462191

U2 - 10.22616/ERDev.2020.19.TF430

DO - 10.22616/ERDev.2020.19.TF430

M3 - Conference paper

VL - 19

T3 - Engineering for Rural Development

SP - 1659

EP - 1665

BT - Engineering for Rural Development

PB - Latvia University of Life Sciences and Technologies Faculty of Engineering

CY - Jelgava

ER -

On modelling of artificial networks arising in applications

Abstract

Publication series

OECD Field of Science

Keywords

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