数学物理学报 ›› 1998, Vol. 18 ›› Issue (3): 241-245.

• 论文 •    下一篇

弱横截与弱混沌

张剑峰1, 谢向东2   

  1. 1. 福州大学数学系 福州 350002;
    2. 福建宁德师范专科学校 宁德 452100
  • 收稿日期:1996-04-29 修回日期:1997-11-10 出版日期:1998-09-26 发布日期:1998-09-26
  • 基金资助:
    国家自然科学基金和福建省自然科学基金资助

Weak Transverse and Weak Chaos

Zhang Jianfeng1, Xie Xiangdong2   

  1. 1. Fuzhou University, Fuzhou 350002;
    2. Ningde Teachers College, Ningde 352100
  • Received:1996-04-29 Revised:1997-11-10 Online:1998-09-26 Published:1998-09-26

摘要: 在保留混沌基本特征的前提下,该文引进弱横截与弱混沌概念.证明了弱横截的平面微分同胚必产生弱混沌.

关键词: 横截, 混沌, 弱横截, 弱混沌

Abstract: On the premise of unchange the fundamental characteristic of chaos, the article introduce the concept of weak transverse and weak chaos and prove that the diffeomorphism is weak chaotic if it have weak transverse homoclinic point.

Key words: Transverse, Chaos, Weak transverse, Weak chaos