Nonlinear Oscillations

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Nonlinear Oscillations

Ali H. Nayfeh,Dean T. Mook
Nonlinear Oscillations Book PDF

Author : Ali H. Nayfeh,Dean T. Mook
Publisher : John Wiley & Sons
Page : 720 pages
File Size : 53,8 Mb
Release : 2008-09-26
Category : Science
ISBN : 9783527617593

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Nonlinear Oscillations by Ali H. Nayfeh,Dean T. Mook Pdf

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.

Nonlinear Oscillations

Ivana Kovacic
Nonlinear Oscillations Book PDF

Author : Ivana Kovacic
Publisher : Springer Nature
Page : 278 pages
File Size : 41,8 Mb
Release : 2020-08-14
Category : Technology & Engineering
ISBN : 9783030531720

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Nonlinear Oscillations by Ivana Kovacic Pdf

This book presents exact, closed-form solutions for the response of a variety of nonlinear oscillators (free, damped, forced). The solutions presented are expressed in terms of special functions. To help the reader understand these `non-standard' functions, detailed explanations and rich illustrations of their meanings and contents are provided. In addition, it is shown that these exact solutions in certain cases comprise the well-known approximate solutions for some nonlinear oscillations.

Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields

John Guckenheimer,Philip Holmes
Nonlinear Oscillations Dynamical Systems and Bifurcations of Vector Fields Book PDF

Author : John Guckenheimer,Philip Holmes
Publisher : Springer Science & Business Media
Page : 475 pages
File Size : 50,8 Mb
Release : 2013-11-21
Category : Mathematics
ISBN : 9781461211402

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Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields by John Guckenheimer,Philip Holmes Pdf

An application of the techniques of dynamical systems and bifurcation theories to the study of nonlinear oscillations. Taking their cue from Poincare, the authors stress the geometrical and topological properties of solutions of differential equations and iterated maps. Numerous exercises, some of which require nontrivial algebraic manipulations and computer work, convey the important analytical underpinnings of problems in dynamical systems and help readers develop an intuitive feel for the properties involved.

Nonlinear Oscillations and Waves in Dynamical Systems

P.S Landa
Nonlinear Oscillations and Waves in Dynamical Systems Book PDF

Author : P.S Landa
Publisher : Springer Science & Business Media
Page : 550 pages
File Size : 46,9 Mb
Release : 2013-06-29
Category : Mathematics
ISBN : 9789401587631

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Nonlinear Oscillations and Waves in Dynamical Systems by P.S Landa Pdf

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 Oscillations

Ronald E. Mickens
An Introduction to Nonlinear Oscillations Book PDF

Author : Ronald E. Mickens
Publisher : CUP Archive
Page : 234 pages
File Size : 47,9 Mb
Release : 1981
Category : Science
ISBN : 0521222087

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An Introduction to Nonlinear Oscillations by Ronald E. Mickens Pdf

An introductory account of the equations describing nonlinear oscillations & the methods for solving them.

Nonlinear Oscillations of Hamiltonian PDEs

Massimiliano Berti
Nonlinear Oscillations of Hamiltonian PDEs Book PDF

Author : Massimiliano Berti
Publisher : Springer Science & Business Media
Page : 191 pages
File Size : 47,5 Mb
Release : 2007-10-01
Category : Mathematics
ISBN : 9780817646806

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Nonlinear Oscillations of Hamiltonian PDEs by Massimiliano Berti Pdf

Many partial differential equations (PDEs) that arise in physics can be viewed as infinite-dimensional Hamiltonian systems. This monograph presents recent existence results of nonlinear oscillations of Hamiltonian PDEs, particularly of periodic solutions for completely resonant nonlinear wave equations. The text serves as an introduction to research in this fascinating and rapidly growing field. Graduate students and researchers interested in variational techniques and nonlinear analysis applied to Hamiltonian PDEs will find inspiration in the book.

Introduction to Nonlinear Oscillations

Vladimir I. Nekorkin
Introduction to Nonlinear Oscillations Book PDF

Author : Vladimir I. Nekorkin
Publisher : John Wiley & Sons
Page : 264 pages
File Size : 44,9 Mb
Release : 2015-04-01
Category : Science
ISBN : 9783527685424

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Introduction to Nonlinear Oscillations by Vladimir I. Nekorkin Pdf

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.

Nonlinear Oscillations in Physical Systems

Chihiro Hayashi
Nonlinear Oscillations in Physical Systems Book PDF

Author : Chihiro Hayashi
Publisher : Princeton University Press
Page : 405 pages
File Size : 54,9 Mb
Release : 2014-07-14
Category : Science
ISBN : 9781400852871

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Nonlinear Oscillations in Physical Systems by Chihiro Hayashi Pdf

This book offers a fundamental explanation of nonlinear oscillations in physical systems. Originally intended for electrical engineers, it remains an important reference for the increasing numbers of researchers studying nonlinear phenomena in physics, chemical engineering, biology, medicine, and other fields. Originally published in 1986. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.

Oscillations in Nonlinear Systems

Jack K. Hale
Oscillations in Nonlinear Systems Book PDF

Author : Jack K. Hale
Publisher : Courier Dover Publications
Page : 192 pages
File Size : 43,6 Mb
Release : 2015-03-24
Category : Mathematics
ISBN : 9780486803265

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Oscillations in Nonlinear Systems by Jack K. Hale Pdf

By focusing on ordinary differential equations that contain a small parameter, this concise graduate-level introduction provides a unified approach for obtaining periodic solutions to nonautonomous and autonomous differential equations. 1963 edition.

Nonlinear Oscillations in Mechanical Engineering

Alexander Fidlin
Nonlinear Oscillations in Mechanical Engineering Book PDF

Author : Alexander Fidlin
Publisher : Springer
Page : 0 pages
File Size : 43,9 Mb
Release : 2010-02-12
Category : Technology & Engineering
ISBN : 3642066348

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Nonlinear Oscillations in Mechanical Engineering by Alexander Fidlin Pdf

"Nonlinear Oscillations in Mechanical Engineering" explores the effects of nonlinearities encountered in applications in that field. Since the nonlinearities are caused, first of all, by contacts between different mechanical parts, the main part of this book is devoted to oscillations in mechanical systems with discontinuities caused by dry friction and collisions. Another important source of nonlinearity which is covered is that caused by rotating unbalanced parts common in various machines as well as variable inertias occurring in all kinds of crank mechanisms. This book is written for advanced undergraduate and postgraduate students, but it may be also helpful and interesting for both theoreticians and practitioners working in the area of mechanical engineering at universities, in research labs or institutes and especially in the R and D departments within industrial firms.

Contributions to the Theory of Nonlinear Oscillations

Lamberto Cesari,J. LaSalle,Solomon Lefschetz
Contributions to the Theory of Nonlinear Oscillations Book PDF

Author : Lamberto Cesari,J. LaSalle,Solomon Lefschetz
Publisher : Princeton University Press
Page : 302 pages
File Size : 45,7 Mb
Release : 1960-01-21
Category : Mathematics
ISBN : 0691079331

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Contributions to the Theory of Nonlinear Oscillations by Lamberto Cesari,J. LaSalle,Solomon Lefschetz Pdf

Classic contributions to the theory of nonlinear oscillations from the acclaimed Annals of Mathematics Studies series Princeton University Press is proud to have published the Annals of Mathematics Studies since 1940. One of the oldest and most respected series in science publishing, it has included many of the most important and influential mathematical works of the twentieth century. The series continues this tradition as Princeton University Press publishes the major works of the twenty-first century. To mark the continued success of the series, all books are available in paperback and as ebooks.

Perturbation Methods

Ali H. Nayfeh
Perturbation Methods Book PDF

Author : Ali H. Nayfeh
Publisher : John Wiley & Sons
Page : 437 pages
File Size : 41,8 Mb
Release : 2008-09-26
Category : Science
ISBN : 9783527617616

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Perturbation Methods by Ali H. Nayfeh Pdf

The Wiley Classics Library consists of selected books that have become recognized classics in their respective fields. With these new unabridged and inexpensive editions, Wiley hopes to extend the life of these important works by making them available to future generations of mathematicians and scientists. Currently available in the Series: T. W. Anderson The Statistical Analysis of Time Series T. S. Arthanari & Yadolah Dodge Mathematical Programming in Statistics Emil Artin Geometric Algebra Norman T. J. Bailey The Elements of Stochastic Processes with Applications to the Natural Sciences Robert G. Bartle The Elements of Integration and Lebesgue Measure George E. P. Box & Norman R. Draper Evolutionary Operation: A Statistical Method for Process Improvement George E. P. Box & George C. Tiao Bayesian Inference in Statistical Analysis R. W. Carter Finite Groups of Lie Type: Conjugacy Classes and Complex Characters R. W. Carter Simple Groups of Lie Type William G. Cochran & Gertrude M. Cox Experimental Designs, Second Edition Richard Courant Differential and Integral Calculus, Volume I RIchard Courant Differential and Integral Calculus, Volume II Richard Courant & D. Hilbert Methods of Mathematical Physics, Volume I Richard Courant & D. Hilbert Methods of Mathematical Physics, Volume II D. R. Cox Planning of Experiments Harold S. M. Coxeter Introduction to Geometry, Second Edition Charles W. Curtis & Irving Reiner Representation Theory of Finite Groups and Associative Algebras Charles W. Curtis & Irving Reiner Methods of Representation Theory with Applications to Finite Groups and Orders, Volume I Charles W. Curtis & Irving Reiner Methods of Representation Theory with Applications to Finite Groups and Orders, Volume II Cuthbert Daniel Fitting Equations to Data: Computer Analysis of Multifactor Data, Second Edition Bruno de Finetti Theory of Probability, Volume I Bruno de Finetti Theory of Probability, Volume 2 W. Edwards Deming Sample Design in Business Research

Analytical Methods in Nonlinear Oscillations

Ebrahim Esmailzadeh,Davood Younesian,Hassan Askari
Analytical Methods in Nonlinear Oscillations Book PDF

Author : Ebrahim Esmailzadeh,Davood Younesian,Hassan Askari
Publisher : Springer
Page : 286 pages
File Size : 53,5 Mb
Release : 2018-06-29
Category : Technology & Engineering
ISBN : 9789402415421

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Analytical Methods in Nonlinear Oscillations by Ebrahim Esmailzadeh,Davood Younesian,Hassan Askari Pdf

This book covers both classical and modern analytical methods in nonlinear systems. A wide range of applications from fundamental research to engineering problems are addressed. The book contains seven chapters, each with miscellaneous problems and their detailed solutions. More than 100 practice problems are illustrated, which might be useful for students and researchers in the areas of nonlinear oscillations and applied mathematics. With providing real world examples, this book shows the multidisciplinary emergence of nonlinear dynamical systems in a wide range of applications including mechanical and electrical oscillators, micro/nano resonators and sensors, and also modelling of global warming, epidemic diseases, sociology, chemical reactions, biology and ecology.

Stability and Oscillations of Nonlinear Pulse-Modulated Systems

Arkadii Kh. Gelig,Alexander N. Churilov
Stability and Oscillations of Nonlinear Pulse Modulated Systems Book PDF

Author : Arkadii Kh. Gelig,Alexander N. Churilov
Publisher : Springer Science & Business Media
Page : 367 pages
File Size : 41,9 Mb
Release : 2012-12-06
Category : Technology & Engineering
ISBN : 9781461217602

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Stability and Oscillations of Nonlinear Pulse-Modulated Systems by Arkadii Kh. Gelig,Alexander N. Churilov Pdf

There are two main fields of application of pulse-modulated sys tems, communications and control. Communication is not a subject of our concern in this book. Controlling by a pulse-modulated feed attracted our efforts. The peculiarity of this book is that all back the sampled-data systems are considered in continuous time, so no discrete time schemes are presented. And finally, we pay a little at tention to pulse-amplitude modulation which was treated in a vast number of publications. The primary fields of our interest are pulse width, pulse-frequency, and pulse-phase modulated control systems. The study of such systems meets with substantial difficulties. An engineer, who embarks on theoretical investigations of a pulse-mo dulated control, is often embarrassed by the sophisticated mathe matical tools he needs to know. When a mathematician, who looks for practical applications of his mathematical machinery, meets with these systems, he faces a lot of of complicated technical schemes and terms. Probably this is the reason why publications on pulse modu lation are seldom in scientific journals. As for books on this subject (save on amplitude modulation), the significant part of them is in Russian and hardly available for a non-Russian reader.

Truly Nonlinear Oscillations

Ronald E. Mickens
Truly Nonlinear Oscillations Book PDF

Author : Ronald E. Mickens
Publisher : World Scientific
Page : 261 pages
File Size : 45,9 Mb
Release : 2010
Category : Mathematics
ISBN : 9789814291668

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Truly Nonlinear Oscillations by Ronald E. Mickens Pdf

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 these technique to the field of nonlinear oscillations.