Poincaré-MacMillan Equations of Motion for a Nonlinear Nonholonomic Dynamical System
Amjad Hussain1, Syed Tauseef Mohyud-Din2*, Ahmet Yildirim3,4
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
Poincaré-MacMillan Equations of Motion for a Nonlinear Nonholonomic Dynamical System
Amjad Hussain1, Syed Tauseef Mohyud-Din2*, Ahmet Yildirim3,4
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
摘要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.
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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2012, Vol. 29 
