Open AccessNetworks Describing Dynamical Systems
Author(s) -
Eduard Brokan,
Felix Sadyrbaev
Publication year - 2018
Publication title -
tatra mountains mathematical publications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.171
H-Index - 12
eISSN - 1338-9750
pISSN - 1210-3195
DOI - 10.2478/tmmp-2018-0004
Subject(s) - mathematics , attractor , simple (philosophy) , ordinary differential equation , dynamical systems theory , pure mathematics , differential equation , mathematical analysis , philosophy , physics , epistemology , quantum mechanics
We consider systems of ordinary differential equations that arise in the theory of gene regulatory networks. These systems can be of arbitrary size but of definite structure that depends on the choice of regulatory matrices. Attractors play the decisive role in behaviour of elements of such systems. We study the structure of simple attractors that consist of a number of critical points for several choices of regulatory matrices.