Perturbation Method In The Theory Of Nonlinear Oscillations PDF Download
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Author | : Georgio Eugenio Oscare Giacaglia |
Publisher | : Springer Science & Business Media |
Total Pages | : 379 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 1461264006 |
Download Perturbation Methods in Non-Linear Systems Book in PDF, ePub and Kindle
This volume is intended to provide a comprehensive treatment of recent developments in methods of perturbation for nonlinear systems of ordinary differ ential equations. In this respect, it appears to be a unique work. The main goal is to describe perturbation techniques, discuss their ad vantages and limitations and give some examples. The approach is founded on analytical and numerical methods of nonlinear mechanics. Attention has been given to the extension of methods to high orders of approximation, required now by the increased accuracy of measurements in all fields of science and technology. The main theorems relevant to each perturbation technique are outlined, but they only provide a foundation and are not the objective of these notes. Each chapter concludes with a detailed survey of the pertinent literature, supplemental information and more examples to complement the text, when necessary, for better comprehension. The references are intended to provide a guide for background information and for the reader who wishes to analyze any particular point in more detail. The main sources referenced are in the fields of differential equations, nonlinear oscillations and celestial mechanics. Thanks are due to Katherine MacDougall and Sandra Spinacci for their patience and competence in typing these notes. Partial support from the Mathematics Program of the Office of Naval Research is gratefully acknowledged.
Author | : Ahmed Aly Kamel |
Publisher | : |
Total Pages | : 60 |
Release | : 1970 |
Genre | : Nonlinear oscillations |
ISBN | : |
Download Perturbation Method in the Theory of Nonlinear Oscillations Book in PDF, ePub and Kindle
Author | : J. Henrard |
Publisher | : |
Total Pages | : 0 |
Release | : 1970 |
Genre | : Celestial mechanics |
ISBN | : |
Download Perturbation Technique in the Theory of Nonlinear Oscillations and in Celestial Mechanics Book in PDF, ePub and Kindle
Author | : Vladimir I. Nekorkin |
Publisher | : John Wiley & Sons |
Total Pages | : 264 |
Release | : 2015-04-01 |
Genre | : Science |
ISBN | : 3527685421 |
Download Introduction to Nonlinear Oscillations Book in PDF, ePub and Kindle
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.
Author | : Ronald E. Mickens |
Publisher | : CUP Archive |
Total Pages | : 234 |
Release | : 1981 |
Genre | : Science |
ISBN | : 9780521222082 |
Download An Introduction to Nonlinear Oscillations Book in PDF, ePub and Kindle
An introductory account of the equations describing nonlinear oscillations & the methods for solving them.
Author | : John Guckenheimer |
Publisher | : Springer Science & Business Media |
Total Pages | : 475 |
Release | : 2013-11-21 |
Genre | : Mathematics |
ISBN | : 1461211409 |
Download Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields Book in PDF, ePub and Kindle
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.
Author | : Ali H. Nayfeh |
Publisher | : John Wiley & Sons |
Total Pages | : 437 |
Release | : 2008-09-26 |
Genre | : Science |
ISBN | : 3527617612 |
Download Perturbation Methods Book in PDF, ePub and Kindle
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
Author | : Yoshikazu Nishikawa |
Publisher | : |
Total Pages | : 126 |
Release | : 1964 |
Genre | : Nonlinear mechanics |
ISBN | : |
Download A Contribution to the Theory of Nonlinear Oscillations Book in PDF, ePub and Kindle
Author | : Solomon Lefschetz |
Publisher | : Princeton University Press |
Total Pages | : 224 |
Release | : 2016-03-02 |
Genre | : Mathematics |
ISBN | : 1400881757 |
Download Contributions to the Theory of Nonlinear Oscillations (AM-41), Volume IV Book in PDF, ePub and Kindle
The description for this book, Contributions to the Theory of Nonlinear Oscillations (AM-41), Volume IV, will be forthcoming.
Author | : G. Seifert |
Publisher | : Princeton University Press |
Total Pages | : 302 |
Release | : |
Genre | : Nonlinear oscillations |
ISBN | : 9780691079110 |
Download Contributions to the Theory of Nonlinear Oscillations Book in PDF, ePub and Kindle
The book description for the forthcoming "Contributions to the Theory of Nonlinear Oscillations (AM-36)" is not yet available.