000780973 000__ 04681cam\a2200493Ii\4500 000780973 001__ 780973 000780973 005__ 20230306143210.0 000780973 006__ m\\\\\o\\d\\\\\\\\ 000780973 007__ cr\nn\nnnunnun 000780973 008__ 170421s2017\\\\sz\a\\\\ob\\\\001\0\eng\d 000780973 019__ $$a984301567$$a984594692$$a985283742$$a985373637$$a985475510 000780973 020__ $$a9783319552392$$q(electronic book) 000780973 020__ $$a3319552392$$q(electronic book) 000780973 020__ $$z9783319552385 000780973 020__ $$z3319552384 000780973 035__ $$aSP(OCoLC)ocn983465965 000780973 035__ $$aSP(OCoLC)983465965$$z(OCoLC)984301567$$z(OCoLC)984594692$$z(OCoLC)985283742$$z(OCoLC)985373637$$z(OCoLC)985475510 000780973 040__ $$aN$T$$beng$$erda$$epn$$cN$T$$dGW5XE$$dN$T$$dYDX$$dEBLCP$$dUAB 000780973 049__ $$aISEA 000780973 050_4 $$aQA867.5 000780973 08204 $$a531/.32$$223 000780973 1001_ $$aGinoux, Jean-Marc,$$eauthor. 000780973 24510 $$aHistory of nonlinear oscillations theory in France (1880-1940) /$$cJean-Marc Ginoux. 000780973 264_1 $$aCham, Switzerland :$$bSpringer,$$c2017. 000780973 300__ $$a1 online resource (xxxvii, 381 pages) :$$billustrations. 000780973 336__ $$atext$$btxt$$2rdacontent 000780973 337__ $$acomputer$$bc$$2rdamedia 000780973 338__ $$aonline resource$$bcr$$2rdacarrier 000780973 4901_ $$aArchimedes,$$x1385-0180 ;$$vvolume 49 000780973 504__ $$aIncludes bibliographical references and indexes. 000780973 5050_ $$aForeword; Preface; Translator's Preface; Acknowledgments; Contents; List of Figures; List of Tables; Introduction; Part I From Sustained Oscillations to Relaxation Oscillations; 1 From the Series-Dynamo Machine to the Singing Arc: Gérard-Lescuyer, Blondel, Poincaré; 1.1 The Series Dynamo Machine: The Expression of Nonlinearity; 1.1.1 Jean-Marie-Anatole Gérard-Lescuyer's Paradoxical Experiment; 1.1.2 Théodose du Moncel's Electrokinetic Interpretation of the Paradox; 1.1.3 Aimé Witz's Geometrical Interpretationof the Paradox; 1.1.3.1 Principle of Witz's Construction 000780973 5058_ $$a1.1.4 Paul Janet's Incomplete Equation Modeling (I)1.2 The Singing Arc: Sustained Oscillations; 1.2.1 William Du Bois Duddell's Revision of Thomson's Formula; 1.2.1.1 Conditions for Starting the Oscillations Sustained by the Singing Arc; 1.2.1.2 Frequency of the Oscillations Sustained by the Singing Arc; 1.2.2 Edlund and Luggin's Work On the Concept of ``Negative Resistance''; 1.2.3 André Blondel's Work and the Non-existenceof a c.e.m.f.; 1.3 The ``Arc Hysteresis'' Phenomenon: Hysteresis Cycles or Limit Cycles?; 1.3.1 The Static and Dynamic Characteristics of the Arc 000780973 5058_ $$a1.3.1.1 Characteristic of the Direct Current Arc1.3.1.2 Dynamic Characteristic of the Alternating Current Arc; 1.3.2 Hertha Ayrton's Works; 1.3.3 André Blondel's Work On the Singing ArcPhenomenon; 1.3.4 Théodore Simon's Work: The Hysteresis Cycle; 1.3.5 Heinrich Barkhausen's Work; 1.3.6 Ernst Ruhmer's Work; 1.4 Henri Poincaré's ``Forgotten'' Lectures: The Limit Cycles in 1908; 1.4.1 Setting into Equation the Oscillations Sustained by the Singing Arc; 1.4.2 The Singing Arc's Electromotive Force; 1.4.3 Stability of the Sustained Oscillations and LimitCycles 000780973 5058_ $$a1.4.4 ``Poincaré Stability'' and ``Lyapunov Stability''2 The Great War and the First Triode Designs: Abraham, Bloch, Blondel, Van der Pol; 2.1 The Great War and the Rise of Wireless Telegraphy: The T.M. Valve and the Multivibrator; 2.1.1 General Ferrié: From Wireless Telegraphy to the Eiffel Tower; 2.1.2 The T.M. Valve: Télégraphie Militaire; 2.1.3 The Multivibrator: From the Thomson-Type Systems to Relaxation Systems; 2.2 The Three-Electrode Valve or Triode: Sustained Oscillations; 2.2.1 Paul Janet's Work: Analogy and Incomplete Equation Modeling (II) 000780973 5058_ $$a2.2.2 André Blondel: The Anteriority of the Writing of the Triode Equation2.2.2.1 Modeling; 2.2.2.2 Writing the Equation; 2.2.2.3 Calculating the Fundamental's Period and Amplitude; 2.2.2.4 Classifying Oscillations; 2.3 Balthasar Van der Pol's Equation for the Triode; 2.3.1 Modeling; 2.3.2 Writing the Equation; 2.3.3 Calculating the Period and Amplitudeof the Oscillations; 3 Van der Pol's Prototype Equation: Existence and Uniqueness of the Periodic Solution Cartan, Van der Pol, Liénard; 3.1 Janet and Cartan's Work; 3.1.1 Janet's Preface 000780973 506__ $$aAccess limited to authorized users. 000780973 588__ $$aOnline resource; title from PDF title page (SpringerLink, viewed April 26, 2017). 000780973 650_0 $$aNonlinear oscillations$$xHistory. 000780973 77608 $$iPrint version:$$z3319552384$$z9783319552385$$w(OCoLC)972773414 000780973 830_0 $$aArchimedes (Dordrecht, Netherlands) ;$$vv. 49. 000780973 852__ $$bebk 000780973 85640 $$3SpringerLink$$uhttps://univsouthin.idm.oclc.org/login?url=http://link.springer.com/10.1007/978-3-319-55239-2$$zOnline Access$$91397441.1 000780973 909CO $$ooai:library.usi.edu:780973$$pGLOBAL_SET 000780973 980__ $$aEBOOK 000780973 980__ $$aBIB 000780973 982__ $$aEbook 000780973 983__ $$aOnline 000780973 994__ $$a92$$bISE