Introduction To Nonlinear Oscillations
DOWNLOAD
Download Introduction To Nonlinear Oscillations PDF/ePub or read online books in Mobi eBooks. Click Download or Read Online button to get Introduction To Nonlinear Oscillations book now. This website allows unlimited access to, at the time of writing, more than 1.5 million titles, including hundreds of thousands of titles in various foreign languages. If the content not found or just blank you must refresh this page
An Introduction To Nonlinear Oscillations
DOWNLOAD
Author : Ronald E. Mickens
language : en
Publisher: CUP Archive
Release Date : 1981
An Introduction To Nonlinear Oscillations written by Ronald E. Mickens and has been published by CUP Archive this book supported file pdf, txt, epub, kindle and other format this book has been release on 1981 with Science categories.
An introductory account of the equations describing nonlinear oscillations & the methods for solving them.
Nonlinear Oscillations
DOWNLOAD
Author : Ali H. Nayfeh
language : en
Publisher: John Wiley & Sons
Release Date : 2008-09-26
Nonlinear Oscillations written by Ali H. Nayfeh and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-09-26 with Science categories.
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.
Introduction To Nonlinear Oscillations
DOWNLOAD
Author : Vladimir I. Nekorkin
language : en
Publisher: John Wiley & Sons
Release Date : 2016-05-02
Introduction To Nonlinear Oscillations written by Vladimir I. Nekorkin and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-05-02 with Science categories.
A systematic outline of the basic theory of oscillations, combining several tools in a single textbook. The author explains fundamental ideas and methods, while equally aiming to teach students the techniques of solving specific (practical) or more complex problems. Following an introduction to fundamental notions and concepts of modern nonlinear dynamics, the text goes on to set out the basics of stability theory, as well as bifurcation theory in one and two-dimensional cases. Foundations of asymptotic methods and the theory of relaxation oscillations are presented, with much attention paid to a method of mappings and its applications. With each chapter including exercises and solutions, including computer problems, this book can be used in courses on oscillation theory for physics and engineering students. It also serves as a good reference for students and scientists in computational neuroscience.
Classical Mechanics
DOWNLOAD
Author : V. B. Bhatia
language : en
Publisher: Alpha Science Int'l Ltd.
Release Date : 1997
Classical Mechanics written by V. B. Bhatia and has been published by Alpha Science Int'l Ltd. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997 with Reference categories.
The book covers the traditional classical mechanics and then introduces nonlinear oscillations and chaos. These subjects, particularly chaos, have become very important in the recent years and are now being included in courses in Physics and elsewhere. Even within classical mechanics subjects such as nearly circular orbits, virial theorem, anharmonic oscillator and precession and nutation of the earth have been included to make the book suit varied requirements. The book can be adopted for foundation courses on classical mechanics at graduate and post-graduate levels in physics, mathematics and astronomy and wherever else classical mechanics may be a requirement.A large number of problems interspersed throughout the text will induce the students to test the knowledge they had acquired before proceeding further. Another important feature is the appendix which contains some computer programs with essential instructions for solving integrals and differential equations and for plotting phase trajectories and strange attractors on the computer screen so that a student could draw these graphs independently.The short biographical sketches of great scientists and mathematicians who made important contributions to the subject might inspire some readers to look up the detailed biographies to gain some insight the way the science develops.
Introduction To Nonlinear Dynamics For Physicists
DOWNLOAD
Author : H D I Abarbanel
language : en
Publisher: World Scientific
Release Date : 1993-06-23
Introduction To Nonlinear Dynamics For Physicists written by H D I Abarbanel and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993-06-23 with Science categories.
This series of lectures aims to address three main questions that anyone interested in the study of nonlinear dynamics should ask and ponder over. What is nonlinear dynamics and how does it differ from linear dynamics which permeates all familiar textbooks? Why should the physicist study nonlinear systems and leave the comfortable territory of linearity? How can one progress in the study of nonlinear systems both in the analysis of these systems and in learning about new systems from observing their experimental behavior? While it is impossible to answer these questions in the finest detail, this series of lectures nonetheless successfully points the way for the interested reader. Other useful problems have also been incorporated as a study guide. By presenting both substantial qualitative information about phenomena in nonlinear systems and at the same time sufficient quantitative material, the author hopes that readers would learn how to progress on their own in the study of such similar material hereon. Contents:IntroductionNonlinear Oscillator without DissipationEquilibrium States of a Nonlinear Oscillator with DissipationOscillations in Systems with Nonlinear Dissipation-GeneratorsThe Van der Pol GeneratorThe Poincaré MapSlow and Fast Motions in Systems with One Degree of FreedomForced Nonlinear Oscillators: Linear and Nonlinear ResonancesForced Generator: SynchronizationCompetition of ModesPoincaré Indices and Bifurcations of Equilibrium StatesResonance Interactions between OscillatorsSolitonsSteady Propagation of Shock WavesFormation of Shock WavesSolitons. Shock Waves. Wave Interaction. The Spectral ApproachWeak Turbulence. Random Phase ApproximationRegular Patterns in Dissipative MediaDeterministic Chaos. Qualitative DescriptionDescription of a Circuit with Chaos. Chaos in MapsBifurcations of Periodic Motions. Period DoublingControlled Nonlinear Oscillator. IntermittencyScenarios of the Onset of Chaos. Chaos through Quasi-PeriodicityCharacteristics of Chaos. Experimental Observation of ChaosMultidimensional Chaos. Discrete Ginzburg-Landau ModelProblems to Accompany the Lectures Readership: Physicists. keywords: “These lecture notes briefly introduce the reader to new ideas, so would be a useful addition to a library or a source of ideas for lectures or projects; a good student may also find this text useful as a quick introduction to many new ideas.” Contemporary Physics “Introduction to Nonlinear Dynamics for Physicists … is a compact and fairly terse high-level set of 24 lectures.” New Scientist
Introduction To Non Linear Mechanics
DOWNLOAD
Author : Nicolai Minorsky
language : en
Publisher:
Release Date : 1947
Introduction To Non Linear Mechanics written by Nicolai Minorsky and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1947 with Mechanics, Analytic categories.
Strongly Nonlinear Oscillators
DOWNLOAD
Author : Livija Cveticanin
language : en
Publisher: Springer
Release Date : 2014-05-22
Strongly Nonlinear Oscillators written by Livija Cveticanin and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-22 with Science categories.
This book provides the presentation of the motion of pure nonlinear oscillatory systems and various solution procedures which give the approximate solutions of the strong nonlinear oscillator equations. The book presents the original author’s method for the analytical solution procedure of the pure nonlinear oscillator system. After an introduction, the physical explanation of the pure nonlinearity and of the pure nonlinear oscillator is given. The analytical solution for free and forced vibrations of the one-degree-of-freedom strong nonlinear system with constant and time variable parameter is considered. Special attention is given to the one and two mass oscillatory systems with two-degrees-of-freedom. The criteria for the deterministic chaos in ideal and non-ideal pure nonlinear oscillators are derived analytically. The method for suppressing chaos is developed. Important problems are discussed in didactic exercises. The book is self-consistent and suitable as a textbook for students and also for professionals and engineers who apply these techniques to the field of nonlinear oscillations.
Nonlinear Oscillations And Waves In Dynamical Systems
DOWNLOAD
Author : P.S Landa
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-06-29
Nonlinear Oscillations And Waves In Dynamical Systems written by P.S Landa and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-06-29 with Mathematics categories.
A rich variety of books devoted to dynamical chaos, solitons, self-organization has appeared in recent years. These problems were all considered independently of one another. Therefore many of readers of these books do not suspect that the problems discussed are divisions of a great generalizing science - the theory of oscillations and waves. This science is not some branch of physics or mechanics, it is a science in its own right. It is in some sense a meta-science. In this respect the theory of oscillations and waves is closest to mathematics. In this book we call the reader's attention to the present-day theory of non-linear oscillations and waves. Oscillatory and wave processes in the systems of diversified physical natures, both periodic and chaotic, are considered from a unified poin t of view . The relation between the theory of oscillations and waves, non-linear dynamics and synergetics is discussed. One of the purposes of this book is to convince reader of the necessity of a thorough study popular branches of of the theory of oscillat ions and waves, and to show that such science as non-linear dynamics, synergetics, soliton theory, and so on, are, in fact , constituent parts of this theory. The primary audiences for this book are researchers having to do with oscillatory and wave processes, and both students and post-graduate students interested in a deep study of the general laws and applications of the theory of oscillations and waves.
An Introduction To Nonlinear Chemical Dynamics
DOWNLOAD
Author : Irving R. Epstein
language : en
Publisher: Oxford University Press
Release Date : 1998-10-22
An Introduction To Nonlinear Chemical Dynamics written by Irving R. Epstein and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998-10-22 with Science categories.
Just a few decades ago, chemical oscillations were thought to be exotic reactions of only theoretical interest. Now known to govern an array of physical and biological processes, including the regulation of the heart, these oscillations are being studied by a diverse group across the sciences. This book is the first introduction to nonlinear chemical dynamics written specifically for chemists. It covers oscillating reactions, chaos, and chemical pattern formation, and includes numerous practical suggestions on reactor design, data analysis, and computer simulations. Assuming only an undergraduate knowledge of chemistry, the book is an ideal starting point for research in the field. The book begins with a brief history of nonlinear chemical dynamics and a review of the basic mathematics and chemistry. The authors then provide an extensive overview of nonlinear dynamics, starting with the flow reactor and moving on to a detailed discussion of chemical oscillators. Throughout the authors emphasize the chemical mechanistic basis for self-organization. The overview is followed by a series of chapters on more advanced topics, including complex oscillations, biological systems, polymers, interactions between fields and waves, and Turing patterns. Underscoring the hands-on nature of the material, the book concludes with a series of classroom-tested demonstrations and experiments appropriate for an undergraduate laboratory.
Truly Nonlinear Oscillations
DOWNLOAD
Author : Ronald E. Mickens
language : en
Publisher: World Scientific
Release Date : 2010
Truly Nonlinear Oscillations written by Ronald E. Mickens and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010 with Mathematics categories.
This unique book provides a concise presentation of many of the fundamental strategies for calculating approximations to the oscillatory solutions of "truly nonlinear" (TNL) oscillator equations. The volume gives a general overview of the author's work on harmonic balance, iteration and combined linearization-averaging methods. However, full discussions are also presented on parameter expansion procedures and a first-order averaging technique for TNL oscillators. The calculational basis of each method is clarified by applying them to a set of standard TNL oscillator equations. This allows a direct comparison to be made among the various methods. The book is self-contained and therefore suitable for both classroom use and self-study by students and professionals who desire to learn, understand, and apply this technique to the field of nonlinear oscillations.