| Nikolay Bogolyubov |
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Nikolai Nikolaevich Bogoliubov ( 21 August 1909 , Nizhny Novgorod – 13 February 1992 , Moscow ) was a Russian - Ukrainian mathematician and theoretical physicist known for his work in statistical field theory and Dynamical Systems . He was awarded the Dirac Medal in 1992. He was a student of Nikolay Mitrofanovich Krylov . Born in Nizhny Novgorod , his family moved to Kiev in 1921 , where after graduation from a high school Nikolai began independent study of mathematics and physics, participating in seminars at Kiev University . In 1924 he wrote his first published scientific paper. In 1925 he entered PhD program at the Academy of Science of Ukrainian SSR, from which he graduated in 1929 . Krylov and Bogoliubov are key figures in what has been called the Kiev School of nonlinear oscillation research. Their cooperation began when they published the paper "On the quasiperiodic solutions of the equations of nonlinear mechanics" in 1934 and the book ''Introduction to nonlinear mechanics'' in 1937 (translated into English in 1947). Distinctive features of the Kiev School approach were: an emphasis on the computation of solutions (not just proof of existence), on the approximation of periodic solutions, on invariant manifolds in phase space, and on applying similar methods to many different applications. From a Control Engineering point of view, the key achievement of the Kiev School was the development of the Describing Function method for the analysis of nonlinear control problems. REFERENCES EXTERNAL LINKS |