By Jeffery Lewins, Martin Becker
In view that its initiation in 1962, this sequence has offered authoritative stories of crucial advancements in nuclear technology and engineering, from either theoretical and utilized views. furthermore, many unique contributions are incorporated.
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Additional info for Advances in Nuclear Science and Technology: Volume 26 (Advances in Nuclear Science & Technology)
1994a, 1994b) from experimental and theoretical points of view. 34 H. , 1984). It has been recognized that there is no apparent experimental indication of void formation when the power oscillation was observed. However, weak power oscillations (the amplitude is about 4 percent to the total power) have been observed in cases when (a) the reactor was operated at a stationary high power level; (b) the diffuser pumps are turned on or off; and (c) the temperature of the water in the reactor pool is relatively high.
24 H. KONNO A theory of NTR for stochastic partial differential equations (PDEs) has not been developed, in contrast to the advancement of the theory of nonlinear transformation in nonlinear PDEs. A few examples are given in the article by Fox (1978). Exact solutions for stochastic KdV equation (Wadati, 1983) and stochastic Burgers equation (Konno, 1995a) under the influence of spatially uniform Gaussian-white noise are obtained with the aid of a NTR. Now let us take the Logistic-Verhulst equation in population growth which is equivalent to the simplest model for power reactor dynamics in nuclear reactors (10) where Λ is the effective neutron lifetime, ρ is the reactivity that is inserted to keep the reactor power constant and γ is the feedback coefficient.
The stability of the two fixed points alters at the transcritical bifurcation point. NONLINEAR STOCHASTIC DYNAMICS Table I 27 Classification of the stability of the fixed points 1. saddle-node: 2. transcritical: 3. pitchfork: 4. Hopf: 5. imperfect: In terms of conventional reactor physics, this transition point u0 = 0 is “the just critical state” where the generation of neutrons and the loss of neutrons is balanced in the zero power state. On the other hand, the steady state in the sense of nonlinear dynamics is called “the critical state”.
Advances in Nuclear Science and Technology: Volume 26 (Advances in Nuclear Science & Technology) by Jeffery Lewins, Martin Becker