The Effect of Burnable Fission Products in Power Reactor Kinetics

Topological methods are used in the study of the effect of burnable fission products on power reactor kinetics. Taking as an example three different problems, it is shown that power is controlled when the amount of inserted reactivity is small: properties of stability in the large and of boundedness are found in the case of a short-lived absorbing fission product, burnable delayed neutron emitters, and the xenon-controlled reactor.