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高维鞍焦点同宿环的稳定性
  • ISSN号：1000-5641
  • 期刊名称：《华东师范大学学报：自然科学版》
  • 时间：0
  • 分类：O175.13[理学—数学;理学—基础数学]
  • 作者机构：[1]井冈山大学数理学院,江西吉安343009, [2]张家口职业技术学院基础部,河北张家口075000
  • 相关基金：国家自然科学基金项目（10671069）
作者： 黄璇[1], 王丽英[2]
关键词： 高维系统, 鞍焦点, 同宿环, 首次回归映射, higher dimensional system, saddle-focus, homoclinic loop, first recurrent map
中文摘要：

在给出了维数大于3的空间中连接鞍焦点的同宿环的稳定性定义的基础上，对一类高维系统连接双曲鞍焦点的同宿环给出了稳定性判据．

英文摘要：

By establis：hing a new stability definition suitable for the orbit homoclinic to a saddle-focus in a space with dimensions larger than 3, the stability criterion was given for the homoclinic orbit to a hyperbolic saddle-focus in a class of higher dimensional systems.

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期刊信息
  • 《华东师范大学学报：自然科学版》
  • 中国科技核心期刊
  • 主管单位:中华人民共和国教育部
  • 主办单位:华东师范大学
  • 主编：郑伟安
  • 地址：上海中山北路3663号
  • 邮编：200062
  • 邮箱：xblk@xb.ecnu.edu.cn
  • 电话：021-62233703
  • 国际标准刊号：ISSN：1000-5641
  • 国内统一刊号：ISSN：31-1298/N
  • 邮发代号:4-359
  • 获奖情况:
  • 中国综合性科技类核心期刊
  • 国内外数据库收录:
  • 俄罗斯文摘杂志,美国化学文摘（网络版）,美国数学评论（网络版）,德国数学文摘,美国剑桥科学文摘,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:6600