Applied Mathematics and Mechanics (English Edition) ›› 1988, Vol. 9 ›› Issue (10): 937-952.

• 论文 • 上一篇    下一篇

APPLICABILITY OF HAMILTON-JACOBI METHOD TO NONLINEAR NONHOLONOMIC SYSTEMS

Q.K.Ghori, Naseer Ahmed   

  1. Mathematics Department, Quaid-i-Azam University, Islamabad, Pakistan
  • 收稿日期:1987-10-15 出版日期:1988-10-18 发布日期:1988-10-18

APPLICABILITY OF HAMILTON-JACOBI METHOD TO NONLINEAR NONHOLONOMIC SYSTEMS

Q.K.Ghori, Naseer Ahmed   

  1. Mathematics Department, Quaid-i-Azam University, Islamabad, Pakistan
  • Received:1987-10-15 Online:1988-10-18 Published:1988-10-18

摘要: This paper uses Poincare formalism to obtain a generalization of the Hamilton-Jacobi method of integrating dynamical systems moving with nonlinear nonholonomic constraints. Necessary and sufficient conditions are investigated for the applicability of this method to such systems. The method is illustrated by considering some concrete examples of nonholonomic systems.

Abstract: This paper uses Poincare formalism to obtain a generalization of the Hamilton-Jacobi method of integrating dynamical systems moving with nonlinear nonholonomic constraints. Necessary and sufficient conditions are investigated for the applicability of this method to such systems. The method is illustrated by considering some concrete examples of nonholonomic systems.

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