Applied Mathematics and Mechanics (English Edition) ›› 1992, Vol. 13 ›› Issue (4): 369-377.

• 论文 • 上一篇    下一篇

A HIERARCHY OF LIOUVILLE INTEGRABLE FINITE-DIMENSIONAL HAMILTONIAN SYSTEMS

马文秀   

  1. Institute of Mathematics, Fudan University, Shanghai
  • 收稿日期:1990-06-30 出版日期:1992-04-18 发布日期:1992-04-18

A HIERARCHY OF LIOUVILLE INTEGRABLE FINITE-DIMENSIONAL HAMILTONIAN SYSTEMS

Ma Wen-xiu   

  1. Institute of Mathematics, Fudan University, Shanghai
  • Received:1990-06-30 Online:1992-04-18 Published:1992-04-18

摘要: 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.

关键词: involutive system, integral of motion, generator, Hamiltonian system, integrability

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.

Key words: involutive system, integral of motion, generator, Hamiltonian system, integrability

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