Shi Rong-chang, Mei Feng-xiang. On a Generalization of Bertrand’s Theorem[J]. Applied Mathematics and Mechanics, 1993, 14(6): 507-513.
	
		
			Citation: 
			 
			 
													Shi Rong-chang, Mei Feng-xiang. On a Generalization of Bertrand’s Theorem[J]. Applied Mathematics and Mechanics, 1993, 14(6): 507-513. 								 
				
			 
		 
	
 
	
		Shi Rong-chang, Mei Feng-xiang. On a Generalization of Bertrand’s Theorem[J]. Applied Mathematics and Mechanics, 1993, 14(6): 507-513.
	
		
			Citation: 
			 
			 
													Shi Rong-chang, Mei Feng-xiang. On a Generalization of Bertrand’s Theorem[J]. Applied Mathematics and Mechanics, 1993, 14(6): 507-513. 								 
				 
		 
	
  
			
				
					
						
On a Generalization of Bertrand’s Theorem 
					
					
						 
					
					
					
                        
		    		
						
							
							
							Received Date:  1992-05-20 
									 
								Publish Date: 
											1993-06-15 
									
	                     
	                  
                 
             
            
            	
                
                 
				
                    Abstract 
                        
                            Bertrand's theorem for the determination of the applied forces to a holonomic system from one of its first integrals, is extended to nonholonomic systems. Some interesting applications of this new result are also given.
                    
                     
                
                 
                
               	
	                
	                     
	                 
                
                
				
	                    References 
	                    
	
		
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					Whittaker,E.T.,A Treatise on the Analytical Dynamics of Particles and Rigid Bodies,Fourth edition,Cambridge Press(1952).
					
					 
			 
		
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					Галиллин А.С.,Мемобы Решенця Обрамных Забач Дцнамцкц,М.,Наука(1986).
					
					 
			 
		
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					Еругин Н.П.,Построение всего множества систм дмфференциалъных уравнений,имеющих заданную интегралъную крзвую,П,М,М.,16(6)(1952),659-670.
					
					 
			 
		
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					梅凤翔.《非完整系统力学基础》.北京工业学院出版社(1985).
					
					 
			 
		
  
                
                 
				
				
                     
                
				
				
				
						 
				
                 
		
		
		
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