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

• Κύριος συγγραφέας: Ginoux, Jean-Marc (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Cham : Springer International Publishing : Imprint: Springer, 2017.
• Σειρά: Archimedes, New Studies in the History and Philosophy of Science and Technology, 49
• Θέματα: Engineering.; Mathematics.; History.; Engineering design.; Engineering Design.; Philosophical and Historical Foundations of Science.; History of Mathematical Sciences.

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 o...

Πίνακας περιεχομένων:

• 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 Poincaré-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.