A mathematical model of a nuclear reactor with delay depending on the power of the reactor

Abstract

There is analysed the problem of the stability of the reactor using a nonlinear mathematical model. By the method of D-decomposition there is done linear analysis and obtained a region of asymptotic stability D₀ and the region D₂ in which there appear a stable periodical solution. The nonlinear analysis of the model was done with the help of the theory of bifurcations. There is received an approximate periodical solution of one frequency of the model and determined the `degree of harmonicity'' of the solution.