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Klein-Gordon-Schrdinger格点系统全局吸引子的分形维数
  • ISSN号：0254-3079
  • 期刊名称：应用数学学报
  • 时间：0
  • 页码：443-451
  • 语言：中文
  • 分类：O175.7[理学—数学;理学—基础数学]
  • 作者机构：[1]上海师范大学应用数学系,上海200234
  • 相关基金：国家自然科学基金（10771139）; 教育部博士点专项基金（200802700002）; 上海市教委（08ZZ70）资助项目
  • 相关项目：非自治格点系统与非牛顿流体方程组的渐近行为
作者： 黄锦舞|周盛凡|赵艳菊|
关键词： 分形维数, 全局吸引子, Klein-Gordon-Schr(o|¨)dinger方程, 格点动力系统, fractal dimension, global attractor, Klein-Gordon-Schrodinger equation, lattice dynamical system
中文摘要：

本文利用估计Hilbert空间中紧子集的分形维数的准则,得到了Klein-Gordon-Schrdinger格点系统的全局吸引子的分形维数的一个上界.

英文摘要：

In this paper,an upper bound of fractal dimension of global attractor for the Klein-Gordon-Schrodinger lattice system is obtained by applying a criteria for estimating the fractal dimension of a compact subset of a Hilbert space.

同期刊论文项目
非自治格点系统与非牛顿流体方程组的渐近行为
期刊论文 44
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期刊信息
  • 《应用数学学报》
  • 中国科技核心期刊
  • 主管单位:中国科学院
  • 主办单位:中国数学会 中国科学院数学与系统科学研究院
  • 主编：丁夏畦
  • 地址：北京市海淀区中关村东路55号
  • 邮编：100190
  • 邮箱：
  • 电话：
  • 国际标准刊号：ISSN：0254-3079
  • 国内统一刊号：ISSN：11-2040/O1
  • 邮发代号:2-822
  • 获奖情况:
  • 1996、2000年获“中科院优秀科技期刊”三等奖,1997年获“第二届全国优秀科技期刊”三等奖,2001年入选“双效期刊”（中国期刊方阵）
  • 国内外数据库收录:
  • 俄罗斯文摘杂志,美国数学评论（网络版）,德国数学文摘,日本日本科学技术振兴机构数据库,中国中国科技核心期刊,中国北大核心期刊（2004版）,中国北大核心期刊（2008版）,中国北大核心期刊（2011版）,中国北大核心期刊（2014版）,中国北大核心期刊（2000版）
  • 被引量:6864