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高维空间鞍点同宿环的稳定性
  • ISSN号：0253-2395
  • 期刊名称：《山西大学学报：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]华东师范大学理工学院数学系,上海200062, [2]张家口职业技术学院基础部,河北张家口075000, [3]井冈山学院数理学院数学系,江西吉安343009
  • 相关基金：国家自然科学基金（10671069）;
作者： 王丽英[1,2], 黄璇[3], 朱德明[1]
关键词： 高维系统, 同宿环, 稳定性, space system, homoclinic cycle, stability
中文摘要：

考虑高维空间连接双曲鞍点的同宿环的稳定性,在可定义回复映射的条件下给出了同宿环在其部分邻域是渐近稳定的判据,将文献[9]中关于3维系统同宿环的结果推广到（m＋2）维空间.

英文摘要：

The stability of homoclinic cycles connecting hyperbolic saddle in higher-dimensional systems is discussed. After constructing the recurrent map, a criterion for determing the asymptotical stability of homoclinic cycles confined to their part neighvorhood is given. The result given in this paper partly includes and extends the result obtained in [9].

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期刊信息
  • 《山西大学学报：自然科学版》
  • 北大核心期刊（2011版）
  • 主管单位:山西省教育厅
  • 主办单位:山西大学
  • 主编：杨斌盛
  • 地址：太原市坞城路92号
  • 邮编：030006
  • 邮箱：xbbjb@sxu.edu.cn
  • 电话：0351-7010455
  • 国际标准刊号：ISSN：0253-2395
  • 国内统一刊号：ISSN：14-1105/N
  • 邮发代号:22-42
  • 获奖情况:
  • 边疆七年获山西省一级期刊荣誉（1993-1999）
  • 国内外数据库收录:
  • 俄罗斯文摘杂志,美国化学文摘（网络版）,英国动物学记录,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）
  • 被引量:5651