Applied Mathematics and Mechanics (English Edition) ›› 1994, Vol. 15 ›› Issue (8): 755-765.

• 论文 • 上一篇    下一篇

INTEGRAL INVARIANTS OF A HOLONOMIC DYNAMICAL STSTEM

Naseer Ahmed   

  1. Mathematics Department, Quaid-i-Azam University, Islamabad, Pakistan
  • 收稿日期:1993-10-29 出版日期:1994-08-18 发布日期:1994-08-18

INTEGRAL INVARIANTS OF A HOLONOMIC DYNAMICAL STSTEM

Naseer Ahmed   

  1. Mathematics Department, Quaid-i-Azam University, Islamabad, Pakistan
  • Received:1993-10-29 Online:1994-08-18 Published:1994-08-18

摘要: This paper uses Poincare's formalism to study the integral invariants of a conservative holonomic dynamical system. Introducing new parameters for the asrnchronous variation, a generalization of the Poincare and Poincare-Cartan integral invariants is presented.

关键词: space of double complex variables, boundary element method of fluid, space conformal transform, orthogonal double complex variable, analysis mechanics, holonomic dynamical system, integral invariants, synchronous, asynchronous

Abstract: This paper uses Poincare's formalism to study the integral invariants of a conservative holonomic dynamical system. Introducing new parameters for the asrnchronous variation, a generalization of the Poincare and Poincare-Cartan integral invariants is presented.

Key words: space of double complex variables, boundary element method of fluid, space conformal transform, orthogonal double complex variable, analysis mechanics, holonomic dynamical system, integral invariants, synchronous, asynchronous

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