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Saturday, August 1, 2020 | History

5 edition of Multifrequency oscillations of nonlinear systems found in the catalog.

Multifrequency oscillations of nonlinear systems

by A. M. Samoĭlenko

  • 129 Want to read
  • 1 Currently reading

Published by Kluwer Academic Publishers in Dordrecht, Boston .
Written in English

    Subjects:
  • Nonlinear oscillations.

  • Edition Notes

    Includes bibliographical references (p. 297-317).

    Statementby A. Samoilenko and R. Petryshyn.
    SeriesMathematics and its applications -- v. 567, Mathematics and its applications (Kluwer Academic Publishers) -- v. 567.
    ContributionsPetryshyn, R.
    Classifications
    LC ClassificationsQA867.5 .S62 2004
    The Physical Object
    Paginationvi, 317 p. ;
    Number of Pages317
    ID Numbers
    Open LibraryOL21802276M
    ISBN 101402020309, 1402020317
    LC Control Number2004051546

      Book Search tips Selecting this option will search all publications across the Scitation platform Selecting this option will search all publications for the Publisher Some further studies of nonlinear oscillations in chemical systems J. Chem. Phys. 58, ( Nonlinear Oscillation (Van Nostrand, Princeton, N.J. By focusing on ordinary differential equations that contain a small parameter, this concise graduate-level introduction provides a unified approach for obtaining periodic solutions to nonautonomous and autonomous differential equations. An indispensable resource for engineers and mathematicians with a knowledge of elementary differential equations and matrices, the text features numerous clear.

    Treats systems having a single degree of freedom, introducing basic concepts and analytical methods; extends concepts and methods to systems having degrees of freedom. Most of this material cannot be found in any other text. Uses simple physical examples to explain nonlinear dispersive and nondispersive waves. This book offers a fundamental explanation of nonlinear oscillations in physical systems. Originally intended for electrical engineers, it remains an important reference for the increasing numbers of researchers studying nonlinear phenomena in physics, chemical engineering, biology, medicine, and other fields. Originally published in

    Try the new Google Books. Check out the new look and enjoy easier access to your favorite features. Try it now. No thanks. Try the new Google Books Get print book. No eBook available An introductory account of the equations describing nonlinear oscillations & the methods for solving them. nonlinear thermodynamics, that such behavior could occur in nonlinear systems maintained sufficiently far from equilibrium, were now being brought to reality in specific systems. A crucial step was the development by Field, Ko¨ro¨s, and Noyes (FKN) of a detailed chemical mechanism14 for the BZ .


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Multifrequency oscillations of nonlinear systems by A. M. Samoĭlenko Download PDF EPUB FB2

Multifrequency Oscillations of Nonlinear Systems (Mathematics and Its Applications Book ) - Kindle edition by Samoilenko, Anatolii M., Petryshyn, R. Download it once and read it on your Kindle device, PC, phones or tablets. Use features like bookmarks, note taking and highlighting while reading Multifrequency Oscillations of Nonlinear Systems (Mathematics and Its Applications Book Cited by: In the process of evolution, systems of this type can pass from one resonance state into another.

This fact considerably complicates the investigation of nonlinear oscillations. In the present monograph, a new approach based on exact uniform estimates of oscillation integrals is proposed.

In contrast to other books devoted to the averaging method and the method of integral manifolds, in the present book we study oscillation systems with many varying frequencies. In the process of evolution, systems of this type can pass from one resonance state into another. This fact considerably complicates the investigation of nonlinear Author: Anatolii M.

Samoilenko, R. Petryshyn. Get this from a library. Multifrequency oscillations of nonlinear systems. [A M Samoĭlenko; R Petryshyn] -- "This book is intended for a wide circle of research workers, experts, and engineers interested in oscillation processes, as well as for students and.

Get this from a library. Multifrequency oscillations of nonlinear systems. [A M Samoĭlenko; R Petryshyn] -- In contrast to other books devoted to the averaging method and the method of integral manifolds, in the present book we study oscillation systems with many varying frequencies.

In. Multifrequency Oscillations of Nonlinear Systems integral manifolds of resonance oscillation systems are studied. This book is intended for a wide circle of research workers, experts, and.

By focusing on ordinary differential equations that contain a small parameter, this concise graduate-level introduction to the theory of nonlinear oscillations provides a unified approach to obtaining periodic solutions to nonautonomous and autonomous differential equations.

It also indicates key relationships with other related procedures and probes the consequences of the methods of. Although the realm of nonlinear oscillations is enormous, the book relies on the concept of minimum knowledge for maximum understanding.

This unique tool is the method of stationarization, or one frequency approximation of parametric resonance problem analysis in linear time-variant dynamic systems.

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. His expertise is in the areas of the dynamics of nonlinear systems, neurodynamics, nonlinear waves, and bifurcation theory.

Table of Contents. GO TO PART. From the reviews: "This book is concerned with the application of methods from dynamical systems and bifurcation theories to the study of nonlinear oscillations.

Chapter 1 provides a review of basic results in the theory of dynamical systems, covering both ordinary differential equations and discrete mappings. The succeeding chapters deal with the free oscillations in linear isolated systems. These topics are followed by discussions on self-oscillations in linear systems.

Other chapters describe the self-oscillations in non-linear systems, the influence of linear elements on frequency of oscillations, and the electro mechanical oscillators. Multifrequency Oscillations of Nonlinear Systems (Mathematics and Its Applications (closed)) (1st Edition) by Anatolii M.

Samoilenko, R. Petryshyn, Anatoliĭ Mikhaĭlovich Samoĭlenko Hardcover, Pages, Published ISBN / ISBN / Need it Fast. 2 day shipping options In contrast to other books devoted to the. Nonlinear control theory is the area of control theory which deals with systems that are nonlinear time - variant, or both.

Control theory is an interdisciplina. Kluwer Academic Publishers, p. ISBN: This volume is text book in the field of Oscilations and Waves, and one of the early text books on the nonlinear aspect of the unified theory of oscillations and waves.

An important part of the book is in its. Purchase Oscillating Heterogeneous Catalytic Systems, Volume 86 - 1st Edition.

Print Book & E-Book. ISBNMulti-frequency oscillations in self-excited systems Article (PDF Available) in Nonlinear Dynamics 48() January with 53 Reads How we measure 'reads'. Multifrequency Oscillations of Nonlinear Systems (Mathematics and Its Applications) (Volume ) (Reprint Edition) by Anatolii M.

Samoilenko, R. Petryshyn Paperback, Pages, Published ISBN / ISBN / Need it Fast. 2 day shipping options In contrast to other books devoted to the averaging method and the method of. Non-linear Oscillators The study of non-linear oscillators has been important in the development of the theory of dynamical systems.

Van der Pol and Van der Mark () [1] studying a simple non-linear electronic circuit (a neon tube was the non-linear element) experimentally found, but were not much interested in, “noisy behavior” that we.

We have discussed a non-linear vibration system with constant frequency and amplitude. In a friction-involved system, transient or non-stationary phenomena could occur due to the instantly dynamic transition of coupling of two components under external operational conditions or under system interactions, in addition to the conventional time-varying properties such as stiffness or friction.

This book offers a fundamental explanation of nonlinear oscillations in physical systems. Originally intended for electrical engineers, it remains an important reference for the increasing numbers of researchers studying nonlinear phenomena in physics, chemical engineering, biology, medicine, and other ally published in The Princeton Legacy Library uses the latest print-on.

Nonlinear Oscillation Up until now, we’ve been considering the di erential equation for the (damped) harmonic oscillator, y + 2 y_ +!2y= L y= f(t): (1) Due to the linearity of the di erential operator on the left side of our equation, we were able to make use of a large number of .Mitropolsky also authored the following books: Nonstationary process in nonlinear oscillatory systems (), Problems in the asymptotic theory of nonstationary oscillations (), Lectures on the method of averaging in nonlinear mechanics (), The method of averaging in nonlinear mechanics (), Nonlinear mechanics.

Asymptotic methods.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 and .