Mojtaba Tajik - School of Physics, Damghan University, P.O. Box ۳۶۷۱۶-۴۱۱۶۷, Damghan, Iran

In this paper, the nonlinear dynamic system of equations, a type of nuclear ssion reactor is solved analytically and numerically. Considering that the direct solution of three-dimensional dynamical systems analysis and more in order to determine the stability and instability, in terms of algebraicsystems is dificult. Using certain situations in mathematics called Hurwitz criterion, Necessary and sufficient conditions for a stable dynamical system is determined and the parameters that most in uence the quality of the dynamic behavior of a nuclear fission reactor have been determined.

nonlinear dynamical system, Hurwitz criterion, stability