Stability studies of D/T/H fusion system using Hurwitz method

In previous studies of muon catalyzed hybrid fusion system in mixture of three gases of D/T/H, are shown that for diluted media of deuterium and tritium, there are considerable muon multiplication enhancement in μd t branch. In theoretical consideration, the relevant non-linear dynamical equations are solved steady state condition. The stability of assumed steady state condition are considered here. For this purpose, for small perturbation like δx given for fixed points, the 5 Th order characteristic equation is analyzed by Hurwitz method. If Hurwitz conditions are satisfied the system is stable and any small perturbation on system will return it to stable condition in time