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History of Nonlinear Oscillations Theory in France (1880-1940)

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Cover of 'History of Nonlinear Oscillations Theory in France (1880-1940)'

Table of Contents

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    Book Overview
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    Chapter 1 From the Series-Dynamo Machine to the Singing Arc: Gérard-Lescuyer, Blondel, Poincaré
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    Chapter 2 The Great War and the First Triode Designs: Abraham, Bloch, Blondel, Van der Pol
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    Chapter 3 Van der Pol’s Prototype Equation: Existence and Uniqueness of the Periodic Solution Cartan, Van der Pol, Liénard
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    Chapter 4 Van der Pol’s Lectures: Towards the Concept of Relaxation Oscillations
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    Chapter 5 Andronov’s Notes: Toward the Concept of Self-Oscillations
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    Chapter 6 Response to Van der Pol’s and Andronov’s Work in France
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    Chapter 7 The First International Conference on Nonlinear Processes: Paris 1933
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    Chapter 8 The Paradigm of Relaxation Oscillations in France
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    Chapter 9 The Poincaré-Lindstedt Method: The Incompatibility with Radio Engineering
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    Chapter 10 Van der Pol’s Method: A Simple and Classic Solution
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    Chapter 11 The Krylov-Bogolyubov Method: Towards a Nonlinear Mechanics
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    Chapter 12 The Mandel’shtam-Papalexi School: The “Van der Pol-Poincaré” Method
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    Chapter 13 From Quasi-periodic Functions to Recurrent Motions
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    Chapter 14 Hadamard and His Seminary: At the Crossroads of Ideas and Theories
Attention for Chapter 6: Response to Van der Pol’s and Andronov’s Work in France
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