数学理论与应用 ›› 2025, Vol. 45 ›› Issue (2): 1-21.doi: 10.3969/j.issn.1006-8074.2025.02.001

• •    下一篇

关于希尔伯特第十六问题

李承治   

  1. 北京大学数学科学学院, 北京, 100871
  • 出版日期:2025-06-28 发布日期:2025-08-09

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

摘要: 本文拟介绍希尔伯特第十六问题(后一部分), 包括问题的提出, 它的研究历史、现状和展望, 以及困难所在. 

关键词: 希尔伯特第十六问题, 极限环, 多项式系统 , 分支

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