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Monday, May 4, 2020 | History

3 edition of Contributions to the theory of nonlinear oscillations found in the catalog.

Contributions to the theory of nonlinear oscillations

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  • 23 Currently reading

Published by Princeton University Press in Princeton, N.J .
Written in English

    Subjects:
  • Oscillations non linéaires,
  • Nonlinear oscillations

  • Edition Notes

    SeriesAnnals of mathematics studies -- 36
    Classifications
    LC ClassificationsQA3 .P15 vol 36
    The Physical Object
    Paginationvii, 285 p. :
    Number of Pages285
    ID Numbers
    Open LibraryOL24932150M
    OCLC/WorldCa25085168

    This book is devoted to the study of nonlinear oscillations in certain types of physical systems and consists of three chapters. The first two chapters describe the generation ofhigher-harmonicoscillations which predominantly occur in some electrical systems. Chapter 1 is . Nonlinear oscillations in physical systems. by: Hayashi, Chihiro. Published: () Contributions to the theory of nonlinear oscillations.


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Contributions to the theory of nonlinear oscillations by Solomon Lefschetz Download PDF EPUB FB2

Contributions to the theory of nonlinear oscillations. Princeton, Princeton University Press, (OCoLC) Online version: Lefschetz, Solomon, Contributions to the theory of nonlinear oscillations.

Princeton, Princeton University Press, (OCoLC) Document Type: Book: All Authors / Contributors. The description for this book, Contributions to the Theory of Nonlinear Oscillations (AM), Volume IV, will be forthcoming.

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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.

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Read this book using Google Play Books app on your PC, android, iOS devices. Download for offline reading, highlight, bookmark or take notes while you read Contributions to the Theory of Nonlinear Oscillations (AM), Volume IV. Contributions to the Theory of Nonlinear Oscillations (AM), Volume II Book Description: These two new collections, numbers 28 and 29 respectively in the Annals of Mathematics Studies, continue the high standard set by the earlier Annals Studies 20 and 24 by bringing together important contributions to the theories of games and of nonlinear.

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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.

Contributions to the Theory of Nonlinear Oscillations, Volume I (Annals of Mathematics Studies, Number 20) Lefschetz, Solomon, editor Published by Princeton University Press (). History of Nonlinear Oscillations Theory in France () (Archimedes) [Jean-Marc Ginoux] on *FREE* Contributions to the theory of nonlinear oscillations book on qualifying offers.

This book reveals the French scientific contribution to the Contributions to the theory of nonlinear oscillations book theory of nonlinear oscillations and its development. The work offers a critical examination of sources with a focus on the twentieth century.

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Series: Book Book Series. Frontmatter. Pages i-iv. Download PDF. Free Access; PREFACE. Pages v-viii. FORCED OSCILLATIONS IN NONLINEAR SYSTEMS. Cartwright, M. Pages Get Access to Full Text. [Request] Solomon Lefschetz: Contributions to the Theory of Nonlinear Oscillations (AM), Volume II, Princeton University Press, Close Posted by 2 minutes ago.

from nonlinear oscillations to chaos theory by analyzing the researc h performed on the following three devices: the series-dynamo machine, the singing arc and the triode, o ver a perio d Author: Jean-Marc Ginoux.

Contributions to the Theory of Nonlinear Oscillations (AM), Volume II. Series:Annals of Book Book Series. Frontmatter.

Pages i-iv. Download PDF. Free Access; Free Access; I. Van der Pol’s Equation for Relaxation Oscillations. Cartwright, M. Pages Get Access to Full Text. Perturbations of Linear Systems with Constant. This book reveals the French scientific contribution to the mathematical theory of nonlinear oscillations and its development.

The work offers a critical examination of sources with a focus on the twentieth century, especially the period between the wars. 5 Forced Oscillations Introduction Forced Oscillations of Linear Systems Combination Tones Subharmonic Oscillations Iteration Methods for Harmonic Oscillations without Damping Perturbation Theory Applied to Forced Oscillations Worked Examples Using the Perturbation Method This book reveals the French scientific contribution to the mathematical theory of nonlinear oscillations and its development.

The work offers a critical examination of sources with a focus on the twentieth century, especially the period between the wars. Readers will see that, contrary to what is often written, France's role has been : Springer International Publishing. Nonlinear Oscillations is a quarterly peer-reviewed mathematical journal that was established in It is published by Springer Science+Business Media on behalf of the Institute of Mathematics, National Academy of Sciences of covers research in the qualitative theory of differential or functional differential includes the qualitative analysis of differential Discipline: Mathematics.

Contributions to the Theory of Nonlinear Oscillations 英文书摘要. 查看全文信息(Full Text Information) Contributions to the Theory of Nonlinear Oscillations.

A self-contained and thorough treatment of the vigorous research that has occurred in nonlinear mechanics since 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. The book collects the most relevant results from the INdAM Workshop "Shocks, Singularities and Oscillations in Nonlinear Optics and Fluid Mechanics" held in Rome, SeptemberThe contributions discuss recent major advances in the study of nonlinear hyperbolic systems, addressing general theoretical issues such as symmetrizability.

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An Introduction to Nonlinear Oscillations. Ronald E. Mickens Basic Theorems of the Theory of SecondOrder. limit cycle linear second-order linearly independent Mathematical McGraw-Hill multi-time nonlinear differential equation nonlinear equation Nonlinear Oscillations obtain periodic solutions Ordinary Differential Equations.

Contributions to the Theory of Nonlinear Oscillations (Am), Volume IV by Solomon Lefschetz (Editor) avg rating — 0 ratings — published — 2 editions. Contributions. In a career spanning four decades, he made important contributions to a number of fields, including perturbation techniques, nonlinear oscillations, aerodynamics, flight mechanics, acoustics, ship motions, hydrodynamic stability, nonlinear waves, structural dynamics, experimental dynamics, linear and nonlinear control, and micromechanics, and fluid dynamics.

The relation between the theory of oscillations and waves, non-linear dynamics and synergetics is discussed. One of the purposes of this book is to convince reader of the necessity of a thorough study popular branches of of the theory of oscillat ions and waves, and to show that such science as non-linear dynamics, synergetics, soliton theory.

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$ where and are -dimensional vectors methods of the local qualitative theory of differential equations of the form (4) (cf. Qualitative theory of differential equations) and methods of the theory of Lyapunov stability of motion have broad application.

A very important result in the theory of non-linear oscillations was obtained by A.N. Kolmogorov and his followers (see). A major book has also been published on gyroscopic systems, and in general one notes a lively interest in the study of dynamical systems and celestial mechanics.

APPENDIX. A TECHNICAL APPRAISAL This report is an analysis of recent major Soviet contributions Cited by: 7. In particular, the displace- NONLINEAR OSCILLATIONS ment in function space is made in so that the known solution H0 of the corresponding linear problem ((16), (17) with - 0) is taken as a new origin.

63 EQ, k = 1, By this and other devices, and the use of computer, it was shown in [7] for the quartz, and other data as actually encountered in.

There is some overlap between the results, and the interested reader is referred to the original papers, most of which are contained in volumes II and IV of the "Contributions to the Theory of Nonlinear Oscillations," Princeton University Press, Annals of Mathematics Studies, and the papers of Diliberto mentioned : Jack K.

Hale. The Leroy P. Steele Prizes are awarded every year by the American Mathematical Society, for distinguished research work and writing in the field of there has been a formal division into three categories.

The prizes have been given sincefrom a bequest of Leroy P. Steele, and were set up in honor of George David Birkhoff, William Fogg Osgood and William Caspar. "Nonlinear Oscillations in Mechanical Engineering" explores the effects of nonlinearities encountered in applications in that field.

Since the nonlinearities are caused, first of all, by contacts between different mechanical parts, the main part of this book is devoted to oscillations in mechanical systems with discontinuities caused by dry.

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It begins with a description of nonlinear oscillations, the parametric instability, the pendulum, and the nonlinear island overlap criterion.

The Kolomogorov-Arnold-Moser (KAM) theory is analyzed.Contributions include chapters on linear and nonlinear oscillations by Solomon Lefschetz, on hyperbolic partial differential equations and applications by Richard .