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奇异奇摄动系统的几何方法
  • 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[理学—数学;理学—基础数学]
  • 作者机构：[1]华东师范大学数学系,上海200241
  • 相关基金：国家自然科学基金（11071075,11171113）; 中国科学院知识创新工程重大项目（30921064,90820307）; 上海市自然科学基金（10ZR1409200）; 上海市教委E-研究院（E03004）
作者： 陆海波[1], 倪明康[1], 武利猛[1]
关键词： 几何奇摄动, 奇异奇摄动, 交换引理, geometric singular perturbation, singular singularly perturbed, exchange lemma
中文摘要：

研究了一类奇异奇摄动系统边值问题.通过几何奇摄动理论构造了系统的奇异轨道,并用交换引理证明了解的存在性.最后用该方法研究了一个经典半导体模型.

英文摘要：

Singularly perturbed systems for which the reduced system has a manifold of solutions are called singular singularly perturbed.Boundary value problems for such systems were examined by geometric singular perturbation approach in this paper.Assumptions were derived which ensure the existence of a locally unique solution which is near a singular orbit of the dynamics of limiting fast and slow 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