analyzing stability of neutron point kinetics equations with nine photo-neutron groups using lyapunov exponent method

Lyapunov exponent method is one of the best tools for investigating the range of stability and the transient behavior of the dynamical systems. in berylliummoderated and heavy watermoderated reactors, photoneutron plays an important role in dynamic behavior of the reactor. therefore, stability analysis for changes in the control parameters of the reactor in order to guarantee safety and control nuclear reactor is important. in this work, the range of stability has been investigated using lyapunov exponent method in response to step, ramp and sinusoidal external reactivities regarding six groups of delayed neutrons plus nine groups of photoneutrons. the qualitative results are in good agreement with quantitative results of other works