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陈吸引子一个“奇怪”性质的研究
  • ISSN号：1006-6330
  • 期刊名称：《应用数学与计算数学学报》
  • 时间：0
  • 分类：O175.2[理学—数学;理学—基础数学] O174.12[理学—数学;理学—基础数学]
  • 作者机构：[1]上海大学应用数学与力学研究所,上海200072, [2]上海大学数学系,上海200444
  • 相关基金：国家自然科学面上项目基金（项目编号,10372054）、重点项目基金（项目编号,70431002）资助.
作者： 李莹[1], 刘曾荣[2]
关键词： 陈系统, 奇怪吸引子, 吸引盆, 筛形, Chen systems, strange attractor, basin of attraction, riddled property
中文摘要：

本本文主要是用几何的方法研究了陈吸引子任一邻域内存在正测度的排斥集，从而得出其吸引盆有“奇怪”的筛形性质

英文摘要：

In this paper, we mainly discuss that any neighborhood of the Chen attractor contains a repelled set with positive Lebesque measure by geometric analysis, which educes the ‘strange＇ riddled property of the basin of attracttion of the Chen attractor.

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期刊信息
  • 《应用数学与计算数学学报》
  • 主管单位:上海市教育委员会
  • 主办单位:上海大学
  • 主编：马和平
  • 地址：上海市上大路99号121信箱上海大学期刊社
  • 邮编：200444
  • 邮箱：camc@oa.shu.edu.cn
  • 电话：021-66137602
  • 国际标准刊号：ISSN：1006-6330
  • 国内统一刊号：ISSN：31-1436/O1
  • 邮发代号:
  • 获奖情况:
  • 国内外数据库收录:
  • 美国数学评论（网络版）,德国数学文摘
  • 被引量:1282