| 一个对合系的一般生成元与有限维可积系统 |
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| 引用本文： | 叶晓枫,耿献国.一个对合系的一般生成元与有限维可积系统[J].徐州师范大学学报(自然科学版),2008,26(3):34-37. |
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| 作者姓名： | 叶晓枫 耿献国 |
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| 作者单位： | 1. 华北水利水电学院,数学与信息科学学院,河南,郑州,450011
2. 郑州大学,数学系,河南,郑州,450052 |
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| 基金项目： | 国家自然科学基金，河南省高校杰出科研创新人才工程项目 |
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| 摘 要： | 共焦对合系对确定有限维Hamiltonian系统的可积结构起着重要的作用，与有限维可积系统相联系的许多对合系可由共焦生成元生成．据此，提出一个一般的对合系的生成元．作为应用，导出一类新的Liouville意义下的有限维完全可积系统．
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| 关 键 词： | 可积系统 对合系 Hamiltoian系统 非共焦对合系 |
A General Generator of Involutive Systems and Finite-dimensional Integrable Systems |
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| YE Xiao-feng,GENG Xian-guo.A General Generator of Involutive Systems and Finite-dimensional Integrable Systems[J].Journal of Xuzhou Normal University(Natural Science Edition),2008,26(3):34-37. |
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| Authors: | YE Xiao-feng GENG Xian-guo |
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| Institution: | YE Xiao-feng, GENG Xian-guo (1. College of Math ＆ Info. Sci. , North China University of Water Conservancy ＆ Electric Power, Zhengzhou, He＇nan, 450011, China 2. Department of Mathematics, Zhengzhou University, Zhengzhou, He＇nan, 450052, China) |
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| Abstract: | The confocal involutive systems play a central role for determining the integrability structure of finite-dimensional Hamiltonian systems. Based on the observation that quite a few involutive systems associated with finite-dimensional integrable systems are generated from a confocal generator, a general generator of involutive systems is proposed. As an application, a new class of finite-dimensional completely integrable systems is derived in the Liouville sense. |
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| Keywords: | integrable system involutive system Hamiltonian system nonconfocal involutive system |
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