Andronov, A. A. 1901-1952,

Theory of oscillators / by A.A. Andronov, A.A. Vitt, and S.E. Khaikin ; translated from the Russian by F. Immirzi ; the translation edited and abridged by W. Fishwick. - xxxii, 815 pages : illustrations ; 22 cm. - Dover books on engineering . - Dover books on engineering. .

Translation of: Teorii︠a︡ kolebaniĭ. Reprint. Originally published: Oxford ; New York : Pergamon Press, 1966. (International series of monographs in physics ; volume 4).

Includes bibliographical references (pages 801-811) and index.

Preface to second Russian edition -- Note from the English editor -- Introduction -- 1. Linear systems -- 2. Non-linear conservative systems -- 3. Non-conservative systems -- 4. Dynamic systems with a first order differential equation -- 5. Dynamic systems of the second order -- 6. Fundamentals of the qualitative theory of differential equations of the second order -- 7. Systems with a cylindrical phase surface -- 8. The method of the point of transformation in piece-wise linear systems -- 9. Non-linear systems with approximately sinusoidal oscillations -- 10. Discontinuous oscillations -- 11. Comments on more recent works -- Appendix : Basic theorems of the theory of differential equations.

Widely considered one of the classic books on nonlinear oscillators, this comprehensive volume offers a uniquely detailed and thorough discussion of an important branch of mathematics. Indeed, for mathematicians seeking the physical foundations of the theory of nonlinear oscillations, it is a veritable encyclopedia. Translated from the Russian by F. Immirzi, this edition is especially faithful to the flavor and detail of the original work; the translation has been further edited and abridged by Professor W. Fishwick for maximum clarity and usefulness. In addition, there are many practical examples of the most detailed use of the theory, and although the many electrical circuits investigated use thermionic vacuum tubes rather than transistors, the methods demonstrated are applicable to all similar types of equations. --From cover.

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Oscillations.
Oscillations.

Oscillation Science Theory math physics oscillator Khaikin, S.E.