Open AccessA reactor model with delay because of convection
Author(s) -
Donatas Švitra,
Kostas Bučys
Publication year - 2010
Publication title -
lietuvos matematikos rinkinys
Language(s) - English
Resource type - Journals
eISSN - 2335-898X
pISSN - 0132-2818
DOI - 10.15388/lmr.2010.44
Subject(s) - stability (learning theory) , bifurcation , control theory (sociology) , mathematics , convection , delay differential equation , differential equation , exponential stability , differential (mechanical device) , mathematical analysis , mechanics , computer science , physics , thermodynamics , nonlinear system , control (management) , quantum mechanics , machine learning , artificial intelligence
In this article a model of a nuclear reactor which is made of two differential equations with delay was analysed. There was made a linear analysis and defined the area of the asymptotic stability of the model and the area in which there appears a stable periodical solution of one frequency. The analytic form of the mentioned solution was received using the bifurcation theory.