Noise and Nonlinear Phenomena in Nuclear Systems

I. Introduction: Basic Concepts.- A Glimpse into the World of Random Walks.- Stochastic Bifurcations in a Generic Dynamical System: A Qualitative Analysis.- Unified Theory of Fluctuations and Parametric Noise.- An Influence Functional Approach for the Elimination of Variables in Stochastic Processes.- Mixing Properties and Resonances in Chaotic Dynamical Systems.- II. Stochastic Processes in Linear Nuclear Systems: Theory.- Application of Stochastic Transport Theory to the Determination of the Statistical Descriptors Used in Noise Analysis.- Determination of Kinetics Parameters Using Stochastic Methods in a 252Cf Driven System.- Solving Low Power Stochastic Equations: Nonlinear Studies.- Contribution to the Discussion.- Exact and Inexact, Explicit and Implicit Solution Techniques for the Forward and Backward Kolgomorow Equations.- III: Stochastic Processes in Linear Nuclear Systems: Applications.- Some Applications of Stochastic Processes in Neutron Coincidence: Measurements Used in Nuclear Safeguards.- Application of Statistical Correlation Techniques for Measurement of the Keff of Highly Subcritical Systems.- Stochastic Aspects of Neutron Multiplication in Fusion Blanket Materials and Spallation Targets.- Stochastic Calculations of the Effective Density Factor.- Statistical Correlation Calculation of the Time Constant Alpha in Monte Carlo Simulation of Subcritical Assemblies.- IV. Stochastic Processes in Nonlinear Nuclear System: Theory.- Nonlinear Stochastic Theory and Identification of Nonlinearity in Nuclear Reactors.- Stochastic Nonlinear Dynamics of Nuclear Power Plants: Noise Effects on Nonlinear Stability.- The Role of Fluctuations in Nuclear Reactor Transients.- The Effect of Fuel Depletion on Stochastic Behaviour in Supercritical Systems.- Contribution to theDiscussion: Backward Kolgomorov Equations with Feedback.- Steady State Dynamics of Nonlinear Nuclear Reactor Systems.- Nonlinear Effects in Structural Vibration Induced Fluctuations.- V. Stochastic Processes in Nonlinear Nuclear Systems: Applications.- Bispectrum Estimation Using Overlapped Segments.- Nonlinear AR-Noise Investigated Via a Kalman Filter.- Characteristics of Adaptiveness and Self-Organizing as Applied to the Nonlinear Nuclear Systems.- The Monte Carlo Simulation of Thermal Noise in Fast Reactors.- Pump Induced Linear and Nonlinear Vibrations at PWR.- VI. Nonlinear Dynamics and Transition to Chaos in Nuclear Systems. Part I.- Variational Methods for Analyzing Limit Cicles in BWR.- Nonlinear Dynamics and Chaos in Boiling Water Reactors.- Nonlinear Dynamics of Three-Dimensional Point Fission Reactors.- Phase Plane Analysis of Nuclear-Coupled Density-Wave Oscillations.- VII. Nonlinear Dynamics and Transition to Chaos in Nuclear Systems. Part II.- Nonlinear Dynamics of the Nuclear Breeding Process.- Nonlinear Xenon Oscillations.- Nonlinear Reactor Stability Analysis with Arbitrary Feedback.- A Stochastic Method for Nuclear Power Plant Diagnosis.- Stochastic Nuclear Reactor Theory: Breit-Wigner Nuclear Noise.