Genetic Engineering – Construction of a Network of Arbitrary Dimension with Periodic Attractor

Vibroengineering PROCEDIA. Vol.46: 60th International Conference on Vibroengineering 2022
Inna Samuilika, Felix Sadyrbaev

It is shown, how to construct a system of ordinary differential equations of arbitrary order, which has the periodic attractor and models some genetic network of arbitrary size. The construction is carried out by combining of multiple systems of lower dimensions with known periodic attractors. In our example the six-dimensional system is constructed, using two identical three-dimensional systems, which have stable periodic solutions.

Keywords
periodic attractor, periodic trajectories, nullclines, six-dimensional system, three-dimensional system
DOI
10.21595/vp.2022.22992
Hyperlink
https://www.extrica.com/article/22992

Samuilika, I., Sadyrbaev, F. Genetic Engineering – Construction of a Network of Arbitrary Dimension with Periodic Attractor. Vibroengineering PROCEDIA, 2022, Vol. 46, pp.67-72. ISSN 2345-0533. e-ISSN 2538-8479. Available from: doi:10.21595/vp.2022.22992

Publication language
English (en)