By Lewins J. (Ed)
Considering the fact that its initiation in 1962, this sequence has awarded authoritative stories of crucial advancements in nuclear technology and engineering, from either theoretical and utilized views. additionally, many unique contributions are incorporated.
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Additional info for Advances in Nuclear Science and Technology
The Slaving Principle (Stochastic center manifold) NONLINEAR STOCHASTIC DYNAMICS 23 The theory of stochastic processes is based on the idea that complex phenomena can be analyzed and/or interpreted by a relatively small number of (spatial and/or temporal) modes. g. simulations with the use of finite difference scheme (FDS) and/or the finite element method (FEM) for the partial differential equations (PDEs). To reduce the complex governing equations to simple equation(s), there are systematic way of thinking: one of them is the idea of the slaving principle (Haken, 1980).
5(a). Though the 40 H. KONNO experimental phase pdf in Fig. 6(a) for G5 is almost uniform, a weak localization of phase is observed. So we try to fit by taking the theoretical phase pdf: (128) where W 1 is the normalization constant. 3, we get a good fit as shown in the dash-dot line in Fig. 6(a). This weak localization of phase indicates that we must account for the terms g'A * and h'(A|2A*, where g' and h' are constants and * denotes the complex conjugate. It seems from a previous qualitative analysis that the amplitude pdf for G3 is identified by the theoretical amplitude pdf (127).
Imperfect : In the case of asymmetric system due to the existence of a source term and the second-order nonlinear term, the imperfect bifurcation takes place: (36) In any case, the above nonlinear systems loose stability during the change of the value of R changing from negative to positive. The transcritical and the pitchfork bifurcations have been discussed in connection with nonlinear dynamics of nuclear power reactors by Karmeshu (1978, 1981b). From the practical point of view, the Hopf bifurcation and the imperfect bifurcation become relevant to practical power reactors as will be shown in the subsequent sections.
Advances in Nuclear Science and Technology by Lewins J. (Ed)