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 (Pure and Applied Mathematics: A Wiley Series of Texts, Monographs and Tracts)

Science & Math

Nayfeh, Ali H.

Mook, Dean T.

History & Philosophy

Wiley-VCH

Introduction to Perturbation Techniques

Similarities, differences, advantages and limitations of perturbation techniques are pointed out concisely. The techniques are described by means of examples that consist mainly of algebraic and ordinary differential equations. Each chapter contains a number of exercises.

Mathematics

A self-contained and thorough treatment of the vigorous research that has occurred in nonlinear mechanics since 1970. Begins with fundamental concepts and techniques of analysis and progresses through recent developments. Provides an overview that abstracts and introduces main nonlinear phenomena. Treats systems having a single degree of freedom, introducing basic concepts and analytical methods; extends concepts and methods to systems having degrees of freedom. Most of this material cannot be found in any other text. Uses simple physical examples to explain nonlinear dispersive and nondispersive waves. Unifies notation and modifies analysis to conform to discussions. Solutions are worked out in detail for numerous examples and results are plotted and explanations are couched in physical terms. Contains an extensive bibliography.

Nonlinear Oscillations

Physics

Nonlinear Interactions provides a coherent and unified treatment of analytical, computational, and experimental methods and concepts of modal interactions. This book is an obvious extension of Ali Nayfeh's well-known book Applied Nonlinear Dynamics (with Bala Balachandran). These methods are used to explore and unfold in a unified manner the fascinating complexities in nonlinear dynamical systems. The systems discussed are drawn from fluid mechanics and structural dynamics. Nonlinear interactions between high-frequency and low-frequency modes are of great practical importance. Through the mechanisms discussed in this book, energy from high-frequency sources can be transferred to the low-frequency modes of supporting structures and foundations, and the result can be harmful large-amplitude oscillations that decrease their fatigue lives. On the other hand, these mechanisms can be exploited to transfer the energy from a system to a sacrificial subsystem and hence decrease considerably the vibrations of the main system and increase its fatigue life.

Nonlinear Interactions: Analytical, Computational, and Experimental Methods (Wiley Series in Nonlinear Science)

Earth Sciences

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 &amp; 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 &amp; Norman R. Draper Evolutionary Operation: A Statistical Method for Process Improvement George E. P. Box &amp; 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 &amp; 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 &amp; D. Hilbert Methods of Mathematical Physics, Volume I Richard Courant &amp; 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 &amp; Irving Reiner Representation Theory of Finite Groups and Associative Algebras Charles W. Curtis &amp; Irving Reiner Methods of Representation Theory with Applications to Finite Groups and Orders, Volume I Charles W. Curtis &amp; 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

Perturbation Methods

Biological Sciences

A unified and coherent treatment of analytical, computational and experimental techniques of nonlinear dynamics with numerous illustrative applications. Features a discourse on geometric concepts such as Poincare maps. Discusses chaos, stability and bifurcation analysis for systems of differential and algebraic equations. Includes scores of examples to facilitate understanding.

Applied Nonlinear Dynamics: Analytical, Computational, and Experimental Methods

Balachandran, Balakumar

* Explains the physical meaning of linear and nonlinear structural mechanics. * Shows how to perform nonlinear structural analysis. * Points out important nonlinear structural dynamics behaviors. * Provides ready-to-use governing equations.

Linear & Nonlinear Structural Mechanics

Pai, P. Frank

Perturbation Methods (Pure and Applied Mathematics)

This self-contained volume explains perturbation techniques by means of solved problems. Ideal for self-study, it provides 360 solved problems and an almost equal number of supplementary problems.

Problems in Perturbation

Wiley-Interscience

See the best price to sell, buy, or rent books by Nayfeh, Ali H.. BookScouter helps to compare book prices from 25+ online bookstores and 30+ buyback vendors with a single search.

Books by Nayfeh, Ali H.

See the best price to sell, buy, or rent books by Nayfeh, Ali H.. BookScouter helps to compare book prices from 25+ online bookstores and 30+ buyback vendors with a single search.

Nonlinear Oscillations (Pure and Applied Mathematics: A Wiley Series of Texts, Monographs and Tracts)

Introduction to Perturbation Techniques

Nonlinear Oscillations

Nonlinear Interactions: Analytical, Computational, and Experimental Methods (Wiley Series in Nonlinear Science)

Introduction to Perturbation Techniques

Perturbation Methods

Applied Nonlinear Dynamics: Analytical, Computational, and Experimental Methods

Linear & Nonlinear Structural Mechanics

Perturbation Methods (Pure and Applied Mathematics)

Problems in Perturbation