Alexander Alexandrovich Andronov

from Wikipedia, the free encyclopedia

Aleksandr Andronov ( Russian Александр Александрович Андронов , scientific transliteration. Aleksandr Aleksandrovich Andronov , March 29 * . Jul / 11. April  1901 greg. In Moscow , † 31 October 1952 in Gorky ) was a Soviet physicist and member of the Soviet Academy of Sciences .

Life

Andronow studied electrical engineering from 1920 at the Moscow Technical University and from 1923 to 1925 theoretical physics at the Lomonossow University . 1926-29 he continued his studies with Leonid Isaakowitsch Mandelstam , while he also taught at the Second Moscow University. In 1930 he received his doctorate (candidate). From 1931 he was a professor in Nizhny Novgorod (then Gorky). At the same time he was at the Institute for Automation of the Soviet Academy of Sciences.

Andronow worked on quantum mechanical statistics and, above all, on nonlinear vibrations. His book about it, written in 1937 with Alexander Adolfowitsch Witt and Semen Emmanuilowitsch Chaikin , became a standard work on perturbation theory of nonlinear systems. He also investigated bifurcations , stability and topology of the solutions of dynamic systems , partly with Lev Pontryagin (1937). He founded his own scientific school in the field of dynamic systems and their application in a variety of areas (mechanics, control engineering, economics, biology, etc.). The Hopf bifurcation is sometimes also named after him. The roots of the theory of the Hopf bifurcation go back to Henri Poincaré (around 1892); it was discussed in detail in the works of Andronow, Witt and Chaikin in the 1930s and by Eberhard Hopf in 1942.

The Andronov crater on the moon is named after him.

He also worked with the mathematician Evgenija Alexandrowna Leontowitsch (later Leontowitsch-Andronowa), with whom he was married.

The mathematician Dmitri Andreevich Gudkow is one of his doctoral students .

He was elected to the Supreme Soviet of the Russian Soviet Republic in 1947 and the USSR in 1950 and was also on the Presidium of the Supreme Soviet of the Russian republic. In 1952 he died of complications from high blood pressure.

Fonts

  • А. А. Андронов, А. А. Витт, С. Э. Хайкин: Теория колебаний. 2 volumes. ред. техн.-теоретич. лит-ры, Москва / Ленинград 1937 (German: Andronov, AA Witt, S. Ė. Chaikin: Theory of vibrations. Edited by Fritz Wiegmann. 2 volumes. Akademie-Verlag, Berlin, 1965).
  • with EA Leontovich u. a. Qualitative Theory of Second-order Dynamic Systems , Wiley 1973
  • with EA Leontovich, II Gordon, AG Maier: Theory of Bifurcations of Dynamical Systems on a Plane , Israel Program Sci. Transl. 1971

Web links

Individual evidence

  1. Yuri Kuznetsov, Andronov-Hopf Bifurcation , Scholarpedia
  2. ^ Marsden, McCracken, The Hopf Bifurcation and its applications , Springer 1976, foreword
  3. EA Leontovich in mathnet.ru