TITLE:
History of Krylov-Bogoliubov-Mitropolsky Methods of Nonlinear Oscillations
AUTHORS:
Agamenon R. E. Oliveira
KEYWORDS:
Nonlinear Systems, Weakly Nonlinear Systems, Nonlinear Differential Equations, Perturbation Methods
JOURNAL NAME:
Advances in Historical Studies,
Vol.6 No.1,
March
21,
2017
ABSTRACT: This paper presents and discusses the mathematical
developments of the so-called Krylov-Bogoliubov-Mitropolsky (KBM) contribution
to nonlinear dynamics. A brief biography of their common academic work at Kiev
University, initially by Krylov and Bogoliubov and afterwards by Bogoliubov and
Mitropolsky, is presented. The first book published by Krylov and Bogoliubov, Introduction
to Nonlinear Mechanics, is analyzed showing their technological concerns. A
selection of their works and books is also looked at and discussed.