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Wednesday, July 8, 2020 | History

2 edition of Asymptotic methods in the theory of non-linear oscillations found in the catalog.

Asymptotic methods in the theory of non-linear oscillations

Nikolai Nikolaevich Bogoliubov

Asymptotic methods in the theory of non-linear oscillations

by Nikolai Nikolaevich Bogoliubov

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  • 12 Currently reading

Published by Hindustan Publishing in Delhi .
Written in English


Edition Notes

Statementby N.N. Bogoliubov and Y.A. Mitropolsky.
ContributionsMitropolsky, Y. A.
ID Numbers
Open LibraryOL13762900M

This book is an introduction to the perturbation theory for linear and nonlinear waves in dispersive and dissipative media. The main focus is on the direct asymptotic method which is based on the asymptotic expansion of the solution in series of one or more small parameters and demanding finiteness of the perturbations; this results in slow variation of the main-order solution. In this post, we will see the book Applied Methods in The Theory of Nonlinear Oscillations by V. M. Starzhinskii. The book is aimed at engineers with a strong mathematical background, scientists working in mechanics and applied mathematics, and undergraduate and postgraduate students of Applied Physics and Physics and Mathematics departments.

  In this post, we will see the book Applied Methods in the Theory of Nonlinear Oscillations by V. M. Starzhinskii.. About the book: The book is aimed at engineers with a strong mathematical background, scientists working in mechanics and applied mathematics, and undergraduate and postgraduate students of Applied Physics and Physics and Mathematics departments. Subjects include asymptotic methods for investigating nonlinear wave processes, application of two perturbation methods to nonlinear systems, transverse vibrations of beam bridges under action of moving bodies, and oscillations of vehicles in convoy. Lacks a subject index. Annotation c. Book News, Inc., Portland, OR () Booknews.

  The Finite Element Method, McGraw-Hill Book Company, London () Google Scholar. 2. Applied Asymptotic Method in Non-linear Oscillations, Kluwer, Dordrecht () Proceedings of the 9th World Congres on the Theory of Machines and Mechanisms (), pp. Princeton, Princeton University Press. N. N. Bogoliubov, Y. A. Mitropolsky (): Asymptotic Methods in the Theory of Non-Linear Oscillations. New York, Gordon and Breach.


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Asymptotic methods in the theory of non-linear oscillations by Nikolai Nikolaevich Bogoliubov Download PDF EPUB FB2

Asymptotic Methods in the Theory of Nonlinear Oscillations [Bogoliubov, N. N.; Mitropolsky, Y. A.] on *FREE* shipping on qualifying offers. Asymptotic Methods in the Theory of Nonlinear OscillationsCited by: Mitropolsky, Iu. Abstract.

The book concerns approximate asymptotic methods of solving problems of the theory of non-linear oscillations, which could be meet in many areas of physics and technics. The IY-th edition is is issuing with some by: 1. Asymptotic Methods Theory Non- 1st Edition by N.

Bogoliubov (Author), Y. Mitropolsky (Author) ISBN ISBN Why is ISBN important. ISBN. This bar-code number lets you verify that you're getting exactly the right version or edition of a book. The digit and digit formats both work. Asymptotic methods in the theory of non-linear oscillations.

Delhi, Hindustan Pub. Corp., [stamped: New York, Gordon and Breach Science Publishers] (OCoLC) Asymptotic methods in the theory of non-linear oscillations Published in: Proceedings of the IEEE (Volume: 51, Issue: 1, Jan.

) Article #: Page(s): - Date of Publication: Jan. ISSN Information: Print ISSN: Electronic ISSN: This book is devoted primarily to applied asymptotic methods in nonlinear oscillations which are associated with the names of N.

Krylov, N. Bogoli­ ubov and Yu. Mitropolskii. The advantages of the present methods are their simplicity, especially for computing higher approximations, and their applicability to a large class of quasi.

adshelp[at] The ADS is operated by the Smithsonian Astrophysical Observatory under NASA Cooperative Agreement NNX16AC86ACited by: Pagination or Media Count: Abstract: This book is devoted to the approximate asymptotic methods of solving the problems in the theory of nonlinear oscillations met in many fields of physics and engineering.

It is intended for the wide circle of engineering-technical and scientific workers who are concerned with oscillatory processes.

This paper features and elaborates recent developments and modifications in asymptotic techniques in solving differential equation in non linear dynamics.

These methods are proved to be powerful to. Kamel, “Perturbation method in the theory of non linear oscillations”, Celestial mechanics, 3 (), p. 90– Google Scholar L. Shulezhko, “Non linear vibration of a plate”, Approximate Methods of solving differential equations, Izd.

Akad. Nauk Ukr. 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.

Bogoliubov, N.N., Mitropolsky, Yu.A., Asymptotic methods in the theory of non-linear oscillations, Gordon and Breach, New York,   Abstract. In this contribution we study asymptotic methods for differential equation models of physiological and ecological phenomena.

In a survey of the literature special attention is given to the Hopf bifurcation, almost linear oscillations, relaxation oscillations, nonlinear reaction-diffusion and to the change in stability of an ecological system due to periodic forcing.

H.W. Hoogstraten and B. Kaper, An asymptotic theory for a class of weakly non-linear oscillations, to appear in the Arch. for Rat. Mech. and Anal. Mitropol'skii, Problems of the asymptotic theory of non-stationary vibrations, Israel Program for Scientific Translations, Jerusalem 1 9 6 5.

Chemical oscillations and instabilities: non-linear chemical kinetics / by: Gray, Peter, Published: () Asymptotic methods in the theory of plates with mixed boundary conditions / Published: ().

DOWNLOAD NOW» This monograph deals with the controlled/non-controlled nonlinear systems of differential equations. A mathematical apparatus is developed to construct stationary conditions and to carry out studies on the behaviour of integral curves in the neighbourhood of such erable coverage is given to existence and methods of finding periodic orbits and.

Description Asymptotic Wave Theory investigates the asymptotic behavior of wave representations and presents some typical results borrowed from hydrodynamics and elasticity theory. It describes techniques such as Fourier-Laplace transforms, operational calculus, special functions, and asymptotic methods.

Free Oscillation of Quasi-Linear Systems --Ch. Self-excited Oscillations --Ch. Forced Oscillations --Ch.

Parametrically-excited Oscillations --Ch. Interaction of Nonlinear Oscillations --Ch. Averaging Method --App. Principal Coordinates --App. Some Trigonometric Formulae Often Used in the Averaging Methods: Series Title.

History of Krylov-Bogoliubov-Mitropolsky Methods of Nonlinear Oscillations. Asymptotic Method s in the Theory of Nonlinear Osci llations. Introduction to Non-Linear Mechanics (3rd. ed.). This option allows users to search by Publication, Volume and Page Selecting this option will search the current publication in context.

Selecting this option will search all publications across the Scitation platform Selecting this option will search all publications for the Publisher/Society in context. The study of relaxation oscillations requires a mathematical analysis which differs strongly from the well-known theory of almost linear oscillations.

In this monograph the method of matched asymptotic expansions is employed to approximate the periodic orbit of a relaxation oscillator. As an introduction, in chapter 2 the asymptotic analysis of.

Asymptotic properties of solutions such as stability/ instability,oscillation/ nonoscillation, existence of solutions with specific asymptotics, maximum principles present a classical part in the theory of higher order functional differential equations.

The use of these equations in applications is one of the main reasons for the developments in this field. The control in the mechanical.This book describes the underlying approximation techniques and methods for finding solutions to these and other equations.

The concepts and methods covered include wave dispersion, asymptotic analysis, perturbation theory, the method of multiple scales, deep and shallow water waves, nonlinear optics including fiber optic communications, mode.