Asymptotic Methods in the Theory of Non-linear Oscillations
Author: Nikolaĭ Nikolaevich Bogoli︠u︡bov
Publisher: CRC Press
Published: 1961
Total Pages: 556
ISBN-13: 9780677200507
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Author: Nikolaĭ Nikolaevich Bogoli︠u︡bov
Publisher: CRC Press
Published: 1961
Total Pages: 556
ISBN-13: 9780677200507
DOWNLOAD EBOOKAuthor: Nikolaĭ Nikolaevich Bogoli︠u︡bov
Publisher:
Published: 1955
Total Pages: 898
ISBN-13:
DOWNLOAD EBOOKAuthor: N. N. Bogoliubov
Publisher:
Published: 1961
Total Pages: 0
ISBN-13:
DOWNLOAD EBOOKAuthor: Nikolaj N. Bogoljubov
Publisher:
Published: 1985
Total Pages: 537
ISBN-13:
DOWNLOAD EBOOKAuthor:
Publisher:
Published: 1961
Total Pages: 537
ISBN-13:
DOWNLOAD EBOOKAuthor: IUril Alekseevich Mitropol'skii
Publisher:
Published: 1961
Total Pages:
ISBN-13:
DOWNLOAD EBOOKAuthor: Central Intelligence Agency
Publisher: Hassell Street Press
Published: 2021-09-09
Total Pages: 464
ISBN-13: 9781013912900
DOWNLOAD EBOOKThis work has been selected by scholars as being culturally important and is part of the knowledge base of civilization as we know it. This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. To ensure a quality reading experience, this work has been proofread and republished using a format that seamlessly blends the original graphical elements with text in an easy-to-read typeface. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
Author: Yuri A. Mitropolsky
Publisher: Springer Science & Business Media
Published: 2013-03-09
Total Pages: 352
ISBN-13: 9401588473
DOWNLOAD EBOOKMany 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.
Author: Vladimir I. Nekorkin
Publisher: John Wiley & Sons
Published: 2015-04-01
Total Pages: 264
ISBN-13: 3527685421
DOWNLOAD EBOOKA 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: I. F. Budagyan
Publisher:
Published: 1966
Total Pages: 7
ISBN-13:
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