From Nonlinear Oscillations to Chaos Theory
Résumé
In this work we propose to reconstruct the historical road leading from nonlinear oscillations to chaos theory by analyzing the research performed on the following three devices: the series-dynamo machine, the singing arc and the triode, over a period ranging from the end of the XIX th century till the end of the Second World War. Thus, it will be shown that the series-dynamo machine, i.e. an electromechanical device designed in 1880 for experiments, enabled to highlight the existence of sustained oscillations caused by the presence in the circuit of a component analogous to a " negative resistance ". The singing arc, i.e. a spark-gap transmitter used in Wireless Telegraphy to produce oscillations and so to send messages, allowed to prove that, contrary to what has been stated by the historiography till recently, Poincaré made application of his mathematical concept of limit cycle in order to state the existence of sustained oscillations representing a stable regime of sustained waves necessary for radio communication. During the First World War, the singing arc was progressively replaced by the triode and in 1919, an analogy between series-dynamo machine, singing arc and triode was highlighted. Then, in the following decade, many scientists such as
Origine : Fichiers produits par l'(les) auteur(s)
Loading...