Asymptotic Methods In The Theory Of Non Linear Oscillations
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Asymptotic Methods In The Theory Of Non Linear Oscillations
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Author : Nikolaĭ Nikolaevich Bogoli︠u︡bov
language : en
Publisher: CRC Press
Release Date : 1961
Asymptotic Methods In The Theory Of Non Linear Oscillations written by Nikolaĭ Nikolaevich Bogoli︠u︡bov and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1961 with Science categories.
Asymptotic Methods In The Theory Of Non Linear Oscillations
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Author : Nikolaĭ Nikolaevich Bogoli︠u︡bov
language : en
Publisher:
Release Date : 1961
Asymptotic Methods In The Theory Of Non Linear Oscillations written by Nikolaĭ Nikolaevich Bogoli︠u︡bov and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1961 with categories.
Applied Asymptotic Methods In Nonlinear Oscillations
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Author : Yuri A. Mitropolsky
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-09
Applied Asymptotic Methods In Nonlinear Oscillations written by Yuri A. Mitropolsky 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 2013-03-09 with Technology & Engineering categories.
Many dynamical systems are described by differential equations that can be separated into one part, containing linear terms with constant coefficients, and a second part, relatively small compared with the first, containing nonlinear terms. Such a system is said to be weakly nonlinear. The small terms rendering the system nonlinear are referred to as perturbations. A weakly nonlinear system is called quasi-linear and is governed by quasi-linear differential equations. We will be interested in systems that reduce to harmonic oscillators in the absence of perturbations. This book is devoted primarily to applied asymptotic methods in nonlinear oscillations which are associated with the names of N. M. Krylov, N. N. Bogoli ubov and Yu. A. Mitropolskii. The advantages of the present methods are their simplicity, especially for computing higher approximations, and their applicability to a large class of quasi-linear problems. In this book, we confine ourselves basi cally to the scheme proposed by Krylov, Bogoliubov as stated in the monographs [6,211. We use these methods, and also develop and improve them for solving new problems and new classes of nonlinear differential equations. Although these methods have many applications in Mechanics, Physics and Technique, we will illustrate them only with examples which clearly show their strength and which are themselves of great interest. A certain amount of more advanced material has also been included, making the book suitable for a senior elective or a beginning graduate course on nonlinear oscillations.
Asymptotic Methods In The Theory Of Nonlinear Oscillations
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Author : Nikolaĭ Nikolaevich Bogoli︠u︡bov
language : en
Publisher:
Release Date : 1955
Asymptotic Methods In The Theory Of Nonlinear Oscillations written by Nikolaĭ Nikolaevich Bogoli︠u︡bov and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1955 with Asymptotes categories.
Asymptotic Methods In The Theory Of Non Linear Oscillations
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Author : Nikolaj N. Bogoljubov
language : en
Publisher:
Release Date : 1985
Asymptotic Methods In The Theory Of Non Linear Oscillations written by Nikolaj N. Bogoljubov and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1985 with categories.
Asymptotic Methods In The Theory Of Non Linear Oscillations
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Author :
language : en
Publisher:
Release Date : 1961
Asymptotic Methods In The Theory Of Non Linear Oscillations written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1961 with categories.
Asymptotic Methods In The Theory Of Non Linear Oscillations
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Author : IUril Alekseevich Mitropol'skii
language : en
Publisher:
Release Date : 1961
Asymptotic Methods In The Theory Of Non Linear Oscillations written by IUril Alekseevich Mitropol'skii and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1961 with categories.
Introduction To Nonlinear Oscillations
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Author : Vladimir I. Nekorkin
language : en
Publisher: John Wiley & Sons
Release Date : 2015-04-01
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 2015-04-01 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.
An Introduction To Nonlinear Oscillations
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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.
Applied Methods In The Theory Of Nonlinear Oscillations
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Author : Vi︠a︡cheslav Mikhaĭlovich Starzhinskiĭ
language : en
Publisher:
Release Date : 1980
Applied Methods In The Theory Of Nonlinear Oscillations written by Vi︠a︡cheslav Mikhaĭlovich Starzhinskiĭ and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1980 with Differential equations categories.