A novel lyapunov exponent approach for stability analysis of the simple nuclearreactor

Stability monitoring of nuclear reactors has been extensively investigated in the last few decades. however, theidentification methods and proposed intelligent control systems are not appropriate for real cases [1]. in this studystability analyses of nuclear reactors have been done by using a dynamical system approach. we elaborated therelation between nuclear fission and spatial chaos. the relation among neutron effective multiplication coefficientk, concentration rate of uranium and chemical shim, indicates that the nuclear self-sustaining chain fission and nuclearfusion have literally spatial nonlinear dynamical behavior. stability boundaries are obtained in several three andtwo-dimensional parameter spaces. we have found the absolutely stable area of nuclear reactor, which is markedlydifferent from the formerly mentioned areas.