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On the Range of Validity of Nonlinear Reactor Dynamics

Elias P. Gyftopoulos, Jacques Devooght

Nuclear Science and Engineering / Volume 10 / Number 4 / August 1961 / Pages 372-376

dx.doi.org/10.13182/NSE61-A15381

Space-independent, conventional, nonlinear reactor dynamics equations are derived by a second-order perturbation method. A general criterion is derived indicating the conditions under which it is purposeful to use the nonlinear equations as such. It is shown that the range of validity of nonlinear dynamics is not unlimited and in case of large deviations from equilibrium higher order perturbation terms are required.