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has been cited by the following article:

• 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.