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非保守动力系统的Lie对称性代数
  • ISSN号：0258-7971
  • 期刊名称：《云南大学学报：自然科学版》
  • 时间：0
  • 分类：O41[理学—理论物理;理学—物理]
  • 作者机构：[1]商丘师范学院物理系,河南商丘476000, [2]浙江理工大学数学物理研究所,浙江杭州310018
  • 相关基金：国家自然科学基金资助项目（10672143）;河南省自然科学基金资助项目（072300440220）;河南省高等教育教学改革研究资助项目（2006178）.
作者： 刘翠梅[1], 李彦敏[1], 傅景礼[2]
关键词： 李代数, 对称性, 无限小变换, 非完整动力系统, Lie algebra, symmetry, infinitesimal transformation, nonconserved dynamical system
中文摘要：

研究非保守动力系统的Lie对称性代数．利用1-1影射的方法，从线性运动方程的2个解出发，给出了系统的Lie点对称性代数和Lie接触对称性代数．

英文摘要：

Lie symmetry algebra of liflear nonconservative dynamical systems is studied. By using 1 - 1 mapping, the Lie point and Lie contact symmetry algebras are obtained from two independent solutions of the linear equations of motion.

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期刊信息
  • 《云南大学学报：自然科学版》
  • 中国科技核心期刊
  • 主管单位:云南省教育厅
  • 主办单位:云南大学
  • 主编：张力
  • 地址：昆明市呈贡新区
  • 邮编：650500
  • 邮箱：yndxxb@ynu.edu.cn
  • 电话：0871-5033829 5031498 5031662
  • 国际标准刊号：ISSN：0258-7971
  • 国内统一刊号：ISSN：53-1045/N
  • 邮发代号:64-29
  • 获奖情况:
  • 1999年荣获全国优秀高校自然科学学报及教育部优秀...,1997年荣获全国第二届优秀科技期刊评比二等奖,1995年全国重点大学优秀科技期刊评比二等奖
  • 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）,英国农业与生物科学研究中心文摘,波兰哥白尼索引,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）
  • 被引量:11696