Self-excited oscillations: from Poincaré to Andronov

Titre :

Self-excited oscillations: from Poincaré to Andronov

Sujet :

Télégraphie sans fil

Description :

In 1908 Henri Poincaré gave a series of ‘forgotten lectures’ on wireless telegraphy in which he demonstrated the existence of a stable limit cycle in the phase plane. In 1929 Aleksandr Andronov published a short note in the Comptes Rendus in which he stated that there is a correspondence between the periodic solution of self-oscillating systems and the concept of stable limit cycles introduced by Poincaré. In this article Jean-Marc Ginoux describes these two major contributions to the development of non-linear oscillation theory and their reception in France.

Créateur :

Ginoux, Jean-Marc

Date :

2012-09

Droits :

Nieuw Archief voor Wieskunde

Relation :

https://hal-univ-tln.archives-ouvertes.fr/hal-01101632v2

Format :

image/jpeg

Langue :

en

Type :

Article de revue ; Texte

Description

In 1908 Henri Poincaré gave a series of ‘forgotten lectures’ on wireless telegraphy in which he demonstrated the existence of a stable limit cycle in the phase plane. In 1929 Aleksandr Andronov published a short note in the Comptes Rendus in which he stated that there is a correspondence between the periodic solution of self-oscillating systems and the concept of stable limit cycles introduced by Poincaré. In this article Jean-Marc Ginoux describes these two major contributions to the development of non-linear oscillation theory and their reception in France.

Auteur

Ginoux, Jean-Marc

Date

2012-09

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