TY - GEN
T1 - Genetic engineering - construction of a network of arbitrary dimension with periodic attractor
AU - Samuilik, Inna
AU - Sadyrbaev, Felix
N1 - Publisher Copyright:
© 2022 JVE International. All rights reserved.
PY - 2022/11/1
Y1 - 2022/11/1
N2 - 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.
AB - 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.
KW - nullclines
KW - periodic attractor
KW - periodic trajectories
KW - six-dimensional system
KW - three-dimensional system
UR - https://www.extrica.com/article/22992
UR - https://www.scopus.com/pages/publications/85144619548
U2 - 10.21595/vp.2022.22992
DO - 10.21595/vp.2022.22992
M3 - Conference paper
VL - 46
T3 - Vibroengineering Procedia
SP - 67
EP - 72
BT - Vibroengineering Procedia
ER -