These are the Van der Pol method, Krylov-Bogolyubov method, Bogolyubov-Zubarev method and their hierarchical versions. The methods of the second type include the method of slowly varying amplitudes, the method of averaged characteristics, the methods of averaged kinetic and quasihydrodynamic equations, and some others.
These methods are intended for asymptotic integration of non-linear differential equations with partial derivatives and multifrequency including multi-scale right hand parts. Detailed calculative technologies for practical application of all mentioned methods are illustrated by examples of real electrodynamic systems free electron lasers, undulative induction accelerators, systems for transformation of laser signals, etc. The hierarchical one-particle and self-consistent theory of Undulative Eletrodynamic Systems of different types is set forth.
Hierarchical Methods Undulative Electrodynamical Systems
The self-consistent nonlinear hierarchical theory of parametrical and two-stream superheterodyne FELs is developed. Special attention is paid to phenomena such as explosive instability, phase and polarization discrimination, nonlinear generation of electric and magnetic fields, superheterodyne amplification of electromagnetic waves. The nonlinear theory of multi-harmonic two-stream superheterodyne FELs is given as a demonstration of high practical efficacy of the presented hierarchical methods. The monograph is intended, mainly, for students and postgraduates who specialize in computer calculations in the field of physical electronics, plasma physics and radio physics, optical and electronic engineering, acceleration and various space technologies, as well as applied mechanics.
However, the book will also be of great interest to experts, since a significant part is dedicated to a relatively new point of view of some calculation technologies and discusses some new applied systems.
Hunter , Stanley Jeffers , J. It was a sequel to a similar sym posium entitled Victor V. Kulish - - Science - Limited preview Hierarchic Electrodynamics and Free Electron Lasers: Concepts, Calculations, and Practical Applications presents intriguing new fundamental concepts in the phenomenon of hierarchical electrodynamics as a new direction in physics. Concentrating on The KGB, despite changes in name, remains a Russell Targ , J. The legacy of Aristotle is that we think that things must be either true or untrue. Thus we tend to think in terms of Targ reveals how the experiments were conducted and how subjects were able to describe remote In this timely book, Russell Targ shows readers how to quiet this noise and see into the far reaches of time and space through remote viewing.
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