Title : 
The chaotic characteristics of GM(1,1)
         
        
            Author : 
Chun-guang, Shen ; Lingling, Pei ; Zheng-wei, Lian ; Hai-ping, Shen
         
        
            Author_Institution : 
Coll. of Econ. & Manage., Nanjing Univ. of Aeronaut. & Astronaut., Nanjing, China
         
        
        
        
        
        
            Abstract : 
In this paper, taking into account the reality of the nonlinear system, we introduced nonlinear item into Unbiased model GM(1,1) and then deduce its Logistic expression. Based on the expression, we analyzed the steady state, periodic state and chaotic characteristics of Unbiased model GM(1,1). Finally, the superiority of Unbiased model GM(1,1) are well explained with chaos theory.
         
        
            Keywords : 
forecasting theory; grey systems; nonlinear systems; Chaotic Characteristics; chaos theory; logistic expression; nonlinear system; unbiased model GM(1,1); Aerodynamics; Chaos; Intelligent systems; Logistics; Nonlinear dynamical systems; Nonlinear systems; Power system modeling; Predictive models; Steady-state; Turning;
         
        
        
        
            Conference_Titel : 
Grey Systems and Intelligent Services, 2009. GSIS 2009. IEEE International Conference on
         
        
            Conference_Location : 
Nanjing
         
        
            Print_ISBN : 
978-1-4244-4914-9
         
        
            Electronic_ISBN : 
978-1-4244-4916-3
         
        
        
            DOI : 
10.1109/GSIS.2009.5408106