Dynamic model of the nuclear reactor's nonlinear oscillation

The dynamic model of a nuclear reactor is considered by means of the nonlinear differential equations where the feedback by power and temperature were taken into account. Analytical solutions of equations are achieved applying Hopf's theory. Nonlinear oscillatory functions of power and temperature of the reactor for real time are obtained. Solution of function graphs with corresponding maximum cycles are constructed. The periods of nonlinear fluctuations of power and temperature are calculated as well