American Institute of Mathematical Sciences

Advanced
2005, 2005(Special): 258-267. doi: 10.3934/proc.2005.2005.258

Dynamics of the discrete Chaplygin sleigh

Yuri N. Fedorov 1, and  Dmitry V. Zenkov 2,

1. 

Department de Matemàtica I, Universitat Politecnica de Catalunya, Barcelona E-08028, Spain
2. 

Department of Mathematics, North Carolina State University, Raleigh, NC 27695, United States

Received  September 2004 Revised  March 2005 Published  September 2005

This paper studies the dynamics of the discrete Chaplygin sleigh. Properties such as discrete momentum and measure conservation are explored.
Keywords: momentum conservation., Discrete mechanics, variational integrators.
Mathematics Subject Classification: Primary: 37J60, 70E18, 70F2.
Citation: Yuri N. Fedorov, Dmitry V. Zenkov. Dynamics of the discrete Chaplygin sleigh. Conference Publications, 2005, 2005 (Special) : 258-267. doi: 10.3934/proc.2005.2005.258
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