Download or read book Nonlinear Oscillations in a Beam Plasma System written by Jerrold Steven Levine and published by . This book was released on 1974 with total page 152 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Nonlinear Oscillations written by Ali H. Nayfeh and published by John Wiley & Sons. This book was released on 2008-09-26 with total page 720 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nonlinear Oscillations is a self-contained and thorough treatment of the vigorous research that has occurred in nonlinear mechanics since 1970. The book begins with fundamental concepts and techniques of analysis and progresses through recent developments and provides an overview that abstracts and introduces main nonlinear phenomena. It treats systems having a single degree of freedom, introducing basic concepts and analytical methods, and extends concepts and methods to systems having degrees of freedom. Most of this material cannot be found in any other text. Nonlinear Oscillations uses simple physical examples to explain nonlinear dispersive and nondispersive waves. The notation is unified and the analysis modified to conform to discussions. Solutions are worked out in detail for numerous examples, results are plotted and explanations are couched in physical terms. The book contains an extensive bibliography.
Download or read book Oscillations and Waves written by M.I Rabinovich and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 586 pages. Available in PDF, EPUB and Kindle. Book excerpt: 'Et mai - ... - si j'avait su comment en revenir. One service mathematics has rendered the je n'y semis point aUe.' human race. It has put common sense back Jules Verne where it belongs, on the topmost sheJf next to the dusty canister Iabclled 'discarded non· The series is divergent; therefore we may be sense'. Eric T. Bell able to do something with it. O. Heaviside Mathematics is a tool for thought. A highly necessary tool in a world where both feedback and non linearities abound. Similarly, all kinds of parts of mathematics serve as tools for other parts and for other sciences. Applying a simple rewriting rule to the quote on the right above one finds such statements as: 'One service topology has rendered mathematical physics .. .'; 'One service logic has rendered com puter science .. .'; 'One service category theory has rendered mathematics .. .'. All arguably true. And all statements obtainable this way form part of the raison d'etre of this series.
Download or read book Nonlinear Oscillations of a Maxwellian Plasma written by Hari K. Sen and published by . This book was released on 1970 with total page 18 pages. Available in PDF, EPUB and Kindle. Book excerpt: Exact non-linear wave solutions are obtained for waves stationary in a uniformly moving frame for the case of a Maxwellian electron plasma in a uniform ion background. It is found that there are no waves below a minimum wave velocity; anharmonic waves develop above the critical velocity, but only up to a maximum amplitude, depending on the wave velocity; frequency amplitude relations indicate that small amplitude linearized theory is not a good approximation, except for large wave velocities; and in the limit of zero amplitude, twice the frequency of oscillation given by linearized theory for any wave velocity is obtained. (Author).
Download or read book Nonlinear Theory of Electron Oscillations of a Collisionless Plasma in a Uniform Magnetic Field written by H. K. Sen and published by . This book was released on 1972 with total page 60 pages. Available in PDF, EPUB and Kindle. Book excerpt: Possibility of excitation of finite amplitude longitudinal waves in a collisionless and cold plasma in the presence of uniform magnetic field is demonstrated. Such waves are found to be anharmonic in shape, in contrast to the usual harmonic, that is, sinusoidal waves of the linear theory. These nonlinear plasma waves arise as a result of nonlinear motion and the dispersive nature of plasma media. The two competing processes, nonlinearity and dispersion in a moving plasma medium strike a balance to produce a quasi-steady state which can support finite amplitude waves. These waves are associated with large amplitude oscillating electric fields which may be responsible for coherent radio-to-microwave radiation from coronal plasma and particle acceleration during solar flares. The estimate of sporadic electromagnetic and particulate radiation is important for application to the solar flare patrol and the Air Force Communications System. (Author).
Download or read book Instabilities of Relativistic Electron Beam in Plasma written by Valery B. Krasovitskii and published by Nova Publishers. This book was released on 2008 with total page 234 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is devoted to the non-linear theory of the collective interaction between a modulated beam of relativistic charged particles and narrow electromagnetic and Langmuir wave packets in plasma or gas slow-wave systems. Regular oscillations excited by a relativistic beam under the conditions of Cherenkov resonance and the anomalous Doppler effect can be used to generate coherent microwave radiation and accelerate charged particles in plasma.
Download or read book Chaos And Structures In Nonlinear Plasmas written by C Wendell Horton, Jr and published by World Scientific. This book was released on 1996-07-03 with total page 355 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book develops the subject of nonlinear plasma physics from a general physics perspective. It begins with a description of nonlinear oscillations, the parametric instability, the pendulum, and the nonlinear island overlap criterion. The Kolomogorov-Arnold-Moser (KAM) theory is analyzed. Laboratory visualizations of the KAM theory are presented for experiments in toroidal plasma confinement and rotating fluids. The subjects of transport in E x B flows and geostrophic flows are developed in parallel, stressing the generality of the Charney-Hasegawa-Mima equation. The dual nature of wave turbulence and vortex dynamics is developed for plasmas and geophysical flows. The presentation of the subject of nonlinear maps shows how maps are related to the nonlinear dynamics in plasma physics problems. Numerous space plasma and fusion physics examples are developed throughout the book. The final chapter deals with turbulence theory, renormalized mode coupling equations, and Kolomogorov-type spectra as modified for anisotropic plasmas.
Download or read book Nuclear Science Abstracts written by and published by . This book was released on 1976 with total page 680 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Nonlinear Effects in Plasma written by V. Tsytovich and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt: For some time now there has been an interest in the nop. linear interaction of electromagnetic waves in plasma [1,2]. But only in the last few years has the theory of nonlinear wave inter action effects undergone such vigorous development as to result in the formulation of clear phYSical concepts regarding the mech anisms of interaction. This development has been engendered by attempts to solve many of the plasma-physical problems accom panying the tremendous growth of experimental research [3]. The importance of nonlinear effects in modern plasma physics is dis cussed in detail in Chap. I. At this point we merely stress the fact that today the analysis of nonlinear effects is a practical ne cessity in any experiment involving plasma instabilities. We should also point out that plasma instabilities can assert them selves extensively in solids (solid state plasma) and play an im portant part in the study of cosmic plasma. Consequently, the problems of nonlinear wave interaction in plasma are of concern to those working in widely different areas of physics. Yet it is difficult to assimilate the results of investigations on nonlinear effects, owing to the complicated way in which the results of orig inal research are presented. In the present book the author hopes in some measure to fill the need for a text on the physics of non linear effects that is accessible to a fairly general audience.
Download or read book Nonlinear Physics of Plasmas written by Mitsuo Kono and published by Springer Science & Business Media. This book was released on 2010-10-17 with total page 540 pages. Available in PDF, EPUB and Kindle. Book excerpt: A nonlinearity is one of the most important notions in modern physics. A plasma is rich in nonlinearities and provides a variety of behaviors inherent to instabilities, coherent wave structures and turbulence. The book covers the basic concepts and mathematical methods, necessary to comprehend nonlinear problems widely encountered in contemporary plasmas, but also in other fields of physics and current research on self-organized structures and magnetized plasma turbulence. The analyses make use of strongly nonlinear models solved by analytical techniques backed by extensive simulations and available experiments. The text is written for senior undergraduates, graduate students, lecturers and researchers in laboratory, space and fusion plasmas.
Download or read book Nonlinear Effects in a Beam plasma Experiment written by José Artur da Costa Cabral and published by . This book was released on 1938 with total page 188 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Nonlinear Behavior of the One dimensional Beam Plasma System written by Glenn Joyce and published by . This book was released on 1970 with total page 42 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Excitation of Oscillations in Bounded Beam plasma Systems written by Magdi M. Shoucri and published by . This book was released on 1972 with total page 382 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Fusion Energy Update written by and published by . This book was released on 1980 with total page 88 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Coherent Non linear Interaction of Waves in Plasmas written by Jan Weiland and published by Pergamon. This book was released on 1977 with total page 376 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Nonlinear Oscillations of a Maxwellian Plasma written by Hari K. Sen and published by . This book was released on 1970 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Exact non-linear wave solutions are obtained for waves stationary in a uniformly moving frame for the case of a Maxwellian electron plasma in a uniform ion background. It is found that there are no waves below a minimum wave velocity; anharmonic waves develop above the critical velocity, but only up to a maximum amplitude, depending on the wave velocity; frequency amplitude relations indicate that small amplitude linearized theory is not a good approximation, except for large wave velocities; and in the limit of zero amplitude, twice the frequency of oscillation given by linearized theory for any wave velocity is obtained. (Author)
Download or read book Dynamical Systems and Nonlinear Waves in Plasmas written by Santo Banerjee and published by CRC Press. This book was released on 2021-09-10 with total page 218 pages. Available in PDF, EPUB and Kindle. Book excerpt: Dynamical systems and Nonlinear Waves in Plasmas is written in a clear and comprehensible style to serve as a compact volume for advanced postgraduate students and researchers working in the areas of Applied Physics, Applied Mathematics, Dynamical Systems, Nonlinear waves in Plasmas or other nonlinear media. It provides an introduction to the background of dynamical systems, waves, oscillations and plasmas. Basic concepts of dynamical systems and phase plane analysis for the study of dynamical properties of nonlinear waves in plasmas are presented. Different kinds of waves in plasmas are introduced. Reductive perturbative technique and its applications to derive different kinds of nonlinear evolution equations in plasmas are discussed. Analytical wave solutions of these nonlinear evolution equations are presented using the concept of bifurcation theory of planar dynamical systems in a very simple way. Bifurcations of both small and arbitrary amplitudes of various nonlinear acoustic waves in plasmas are presented using phase plots and time-series plots. Super nonlinear waves and its bifurcation behaviour are discussed for various plasma systems. Multiperiodic, quasiperiodic and chaotic motions of nonlinear plasma waves are discussed in presence of external periodic force. Multistability of plasma waves is investigated. Stable oscillation of plasma waves is also presented in dissipative plasmas. The book is meant for undergraduate and postgraduate students studying plasma physics. It will also serve a reference to the researchers, scientists and faculties to pursue the dynamics of nonlinear waves and its properties in plasmas. It describes the concept of dynamical systems and is useful in understanding exciting features, such as solitary wave, periodic wave, supernonlinear wave, chaotic, quasiperiodic and coexisting structures of nonlinear waves in plasmas. The concepts and approaches, discussed in the book, will also help the students and professionals to study such features in other nonlinear media.
