Mathematical Theory and Applications ›› 2025, Vol. 45 ›› Issue (2): 1-21.doi: 10.3969/j.issn.1006-8074.2025.02.001

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On Hilbert's Sixteenth Problem

LI Chengzhi   

  1. School of Mathematical Sciences, Peking University, Beijing 100871, China
  • Online:2025-06-28 Published:2025-08-09

Abstract: This paper aims to introduce the second part of Hilbert's 16th problem, including its formulation, research history, current developments and prospects, as well as the challenges involved.

Key words: Hilbert's 16th problem, Limit cycle, Polynomial system, Bifurcation