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

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

Ginoux, Jean-Marc

Springer International Publishing AG

05/2018

381

Mole

Inglês

9783319856049

15 a 20 dias

6321

Descrição não disponível.

Part I. From sustained oscillations to relaxation oscillations.- Chapter 1. From the series-dynamo machine to the singing arc.- Chapter 2. The Great War and the first triode designs.- Chapter 3. Van der Pol's prototype equation.- Part II. From relaxation oscillations to self-oscillations.- Chapter 4. Van der Pol's lectures.- Chapter 5. Andronov's notes.- Chapter 6. Response to Van der Pol's and Andronov's work in France.- Chapter 7. The first International Conference on Nonlinear processes: Paris 1933.- Chapter 8. The paradigm of relaxation oscillations in France.- Part III. From self-oscillations to quasi-periodic oscillations.- Chapter 9. The Poincare-Lindstedt method.- Chapter 10. Van der Pol's method.- Chapter 11. The Krylov-Bogolyubov method.- Chapter 12. The Mandelstam-Papeleksi School.- Chapter 13. From quasi-periodic functions to recurrent motions.- Chapter 14. Hadamard and his seminary.

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Nonlinear Oscillations Theory;Relaxation Oscillations;Self-sustained Oscillations;Poincare's Forgotten Lectures of 1908;Wireless Telegraphy;Van der Pol;Mandelstam-Papeleksi School;mathematician Andronov;mathematical theory