6533b871fe1ef96bd12d2251

RESEARCH PRODUCT

Dynamical Models of Interrelation in a Class of Artificial Networks

Felix SadyrbaevEduard BrokanSvetlana Atslega

subject

Class (set theory)Matrix (mathematics)Dynamical systems theoryOrdinary differential equationAttractorGene regulatory networkApplied mathematicsSigmoid functionLinear combinationMathematics

description

The system of ordinary differential equations that models a type of artificial networks is considered. The system consists of a sigmoidal function that depends on linear combinations of the arguments minus the linear part. The linear combinations of the arguments are described by the regulatory matrix W. For the three-dimensional cases, several types of matrices W are considered and the behavior of solutions of the system is analyzed. The attractive sets are constructed for most cases. The illustrative examples are provided. The list of references consists of 12 items.

yearjournalcountryeditionlanguage
2020-01-01
https://doi.org/10.1007/978-3-030-56323-3_18