Sigmoidal Functions in Network Theories
Latvijas Universitātes Matemātikas un Informātikas Institūta zinātniskie raksti
2017
Diana Ogorelova,
Felix Sadyrbaev,
Inna Samuilika,
Valentin SENGILEYEV
We investigate dynamical system of the form
x0
i = f(§Wijxj) ¡ xi;
where f(s) is sigmoid (monotone and bounded) function and 2 £ 2 matrix Wij consists of entries that take values from the set f¡1; 0; 1g: We study the attracting sets and make comparison of several sigmoid functions. Systems of this kind appear in gene regulatory theory. The structure of attracting sets is studied.
Ogorelova, D., Sadyrbaev, F., Samuilika, I., SENGILEYEV, V. Sigmoidal Functions in Network Theories. Latvijas Universitātes Matemātikas un Informātikas Institūta zinātniskie raksti, 2017, Vol. 17, No. 1, 52.-71.lpp. ISSN 1691-8134.
Publikācijas valoda
English (en)