Applied Mathematics and Mechanics (English Edition) ›› 1994, Vol. 15 ›› Issue (7): 671-677.

• Articles • Previous Articles     Next Articles

WHITTAKER’S REDUCTION METHOD FOR POINCARÉ’SDYNAMICAL EQUATIONS

Q. K. Ghori   

  1. Department of Mathematical Sciences, King Fahd University of Petroleum and Minerals Dhahran Saudi Arabia
  • Received:1993-07-12 Online:1994-07-18 Published:1994-07-18

Abstract: Whitlaker’s reduction method invokes the energy integral to reduce the order of Lagrange’s.equations of motion of aholonomic dynamical system This paper treats the coresponding result for a nonholonomic conservative system deseribed by poincar’s equations which are constructed form the standpoint of the theory of Lie groups.

Key words: energy holonomic, nonholonomic, Lie group, Poincare’sequauons, singular perturbation, nonlinear state regulator, optimal control, diagonalization technique

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