Behavioral Geometries of Nonlinear Reactor Dynamics
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Statespace characterizations of two examples of a set of generalized, finite-dimensional, nonlinear reactor dynamics are presented. A power-law representation of reactivity feedback which captures some important kinetic characteristics is used. It is shown that the time domain of R3 statespace reactor dynamics-which incorporates prompt neutrons, delayed neutrons, and fuel temperature dynamics-affords an interesting and relevant set of new dynamic results and apparently does not admit evolution into compact trajectory trapping geometries; the latter suggests that the appearance of "chaotic" dynamical behavior is unlikely at this level of description.
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