庞加莱被遗忘的无线电报会议
Poincare's forgotten conferences on wireless telegraphy
摘要:
在二十世纪初,亨利·庞加莱(1854-1912)已经深入参与了无线电报的发展,他于1908年应邀在高等邮电学院(今天的Sup'Télecom)做了一系列讲座。在他的演讲的最后一部分,他建立了存在的必要条件,一个稳定的制度,维持振荡的设备,无线电工程完全类似于振荡:唱歌弧,是存在于相平面的稳定极限环。这项工作的目的是证明,对应强调安德罗诺夫之间的周期解的非线性二阶微分方程和庞加莱的概念极限环已进行了庞加莱本人,二十年前在这些被遗忘的会议1908年。
英文摘要:
At the beginning of the twentieth century while Henri Poincaré (1854-1912) was already deeply involved in the developments of wireless telegraphy, he was invited, in 1908, to give a series of lectures at the École Supérieure des Postes et Télégraphes (today Sup'Télecom). In the last part of his presentation he established that the necessary condition for the existence of a stable regime of maintained oscillations in a device of radio engineering completely analogous to the triode: the singing arc, is the presence in the phase plane of stable limit cycle. The aim of this work is to prove that the correspondence highlighted by Andronov between the periodic solution of a non-linear second order differential equation and Poincaré's concept of limit cycle has been carried out by Poincaré himself, twenty years before in these forgotten conferences of 1908.
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