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Titlebook: History of Nonlinear Oscillations Theory in France (1880-1940); Jean-Marc Ginoux Book 2017 Springer International Publishing AG 2017 Nonli

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发表于 2025-3-21 16:41:44 | 显示全部楼层 |阅读模式
书目名称History of Nonlinear Oscillations Theory in France (1880-1940)
编辑Jean-Marc Ginoux
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概述Offers the very first history of nonlinear oscillations.Supports understanding of the approach to many mathematical problems of engineering.Provides a thorough and clear documentation of this vital pi
丛书名称Archimedes
图书封面Titlebook: History of Nonlinear Oscillations Theory in France (1880-1940); Jean-Marc Ginoux Book 2017 Springer International Publishing AG 2017 Nonli
描述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 significant. Important contributions were made through both the work of French scholars from within diverse disciplines (mathematicians, physicists, engineers), and through the geographical crossroads that France provided to scientific communication at the time.. .This study includes an examination of the period before the First World War which is vital to understanding the work of the later period. By examining literature sources such as periodicals on the topic of electricity from that era, the author has unearthed a very important text by Henri Poincaré, dating from 1908. In this work Poincaré applied the concept of limit cycle (which he had introduced in 1882 through his own works) to study the stability of the oscillations of a device for radio engineering. The “discovery” of this text means that the classical perspective of the historiography
出版日期Book 2017
关键词Nonlinear Oscillations Theory; Relaxation Oscillations; Self-sustained Oscillations; Poincaré‘s Forgott
版次1
doihttps://doi.org/10.1007/978-3-319-55239-2
isbn_softcover978-3-319-85604-9
isbn_ebook978-3-319-55239-2Series ISSN 1385-0180 Series E-ISSN 2215-0064
issn_series 1385-0180
copyrightSpringer International Publishing AG 2017
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Van der Pol’s Prototype Equation: , Cartan, Van der Pol, Liénarderiod of the sound emitted by a singing arc provided by Thomson’s formula (.) should be modified, depending on a relation which he established (see . Tableau 1.1). Twenty years later, Blondel (.) and Van der Pol (.) also demonstrated that in the case of the triode the presence of resistance introduc
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Van der Pol’s Lectures: ,928a,b, ., ., ., 1938a,b) in numerous publications. It originated in the oscillatory behaviour of a radio engineering device: Abraham and Bloch’s multivibrator ( 1916a,b,c,e) (see . Part I). Indeed, for some parameter values the period of oscillations in this system, just as with the ., the ., the .
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Andronov’s Notes: ,Technical Institute, which offered specialist courses in radiotechnics. The following year, he attended lectures on physico-mathematics at the Moscow State University. In 1924 he was appointed assistant at the State Educational Institute in Moscow, where he taught Mechanics and Theoretical Physics.
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