Poincaré-MacMillan Equations of Motion for a Nonlinear Nonholonomic Dynamical System

¹Department of Mathematics, Zhejiang University, Hangzhou 310027
²Department of Mathematics, HITEC University, Taxila Cantt Pakistan
³Department of Mathematics, Ege University, 35100 Bornova Izmir, Turkey
⁴University of South Florida, Department of Mathematics and Statistics, Tampa, FL 33620-5700, USA

Received Date: November 22, 2011

Revised Date: December 31, 1899

Published Date: February 29, 2012

Abstract

MacMillan's equations are extended to Poincaré's formalism, and MacMillan's equations for nonlinear nonholonomic systems are obtained in terms of Poincaré parameters. The equivalence of the results obtained here with other forms of equations of motion is demonstrated. An illustrative example of the theory is provided as well.

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