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  • 标题:History of Krylov-Bogoliubov-Mitropolsky Methods of Nonlinear Oscillations
  • 本地全文:下载
  • 作者:Agamenon R. E. Oliveira
  • 期刊名称:Advances in Historical Studies
  • 印刷版ISSN:2327-0438
  • 电子版ISSN:2327-0446
  • 出版年度:2017
  • 卷号:06
  • 期号:01
  • 页码:40-55
  • DOI:10.4236/ahs.2017.61003
  • 语种:English
  • 出版社:Scientific Research Publishing
  • 摘要: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.
  • 关键词:Nonlinear Systems;Weakly Nonlinear Systems;Nonlinear Differential Equations;Perturbation Methods
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