We consider a nonholonomic model of the dynamics of an omni-wheel vehicle on a plane and a sphere. An elementary derivation of equations is presented, the dynamics of a free system is investigated, a relation to control problems is shown.	
		
	
	
												
												Keywords:
												
												omni-wheel, roller-bearing wheel, nonholonomic constraint, dynamical system, invariant measure, integrability, controllability							
						
						
							
	
	Citation:
	
	Borisov A. V., Kilin A. A., Mamaev I. S., An omni-wheel vehicle on a plane and a sphere, Rus. J. Nonlin. Dyn.,	
	2011, 	Vol. 7, No. 4,
	 pp.  785-801
	
	
	
	
	
		
		DOI:10.20537/nd1104004