Open AccessAsymptotics of Solutions of the Generalized Hutchinson’s Equation
Author(s) -
С. А. Кащенко
Publication year - 2015
Publication title -
modelirovanie i analiz informacionnyh sistem
Language(s) - English
Resource type - Journals
eISSN - 2313-5417
pISSN - 1818-1015
DOI - 10.18255/1818-1015-2012-3-32-62
Subject(s) - ode , stability (learning theory) , mathematics , exponential stability , mathematical analysis , statistical physics , physics , computer science , nonlinear system , quantum mechanics , machine learning
We discuss the dynamics of the Hutchinson’s equation and its generalizations. An estimate of the global stability region of a positive steady state is obtained. The main results refer to existence, stability and asymptotics of a slow oscillating solution. New asymptotic methods are applied to a problem of dynamical properties of ODE system describing Belousov — Zhabotinsky reaction.