一族Liouville可积的有限维Hamilton系统

马文秀

一族Liouville可积的有限维Hamilton系统

马文秀

复旦大学数学研究所上海

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出版历程
- 收稿日期: 1990-01-31
- 刊出日期: 1992-04-15

A Hierarchy of Liouville Integrable Finite-Dimensional Hamiltonian Systems

Ma Wen-xiu

Institute of Mathematics, Fudan University, Shanghai

摘要

摘要: 本文生成了一族Liouville可积的Hamilton相流彼此可交换的有限维Hamilton系统,并且给出了一串对合的显式公共运动积分及其一组对合的显式生成元.
- 对合系 /
- 运动积分 /
- 生成子 /
- Hamilton系统 /
- 可积性
Abstract: A hierarchy of Liouville integrable finite-dimensional Hamiltonian systems whose Hamiltonian phase flows commute with each other is generated and an infinite number of involutive explicit common integrals of motion and a set of its involutive explicit generators are given.
- involutive system /
- integral of motion /
- generator /
- Hamiltonian system /
- integrability

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参考文献(15)

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