Diagnostics of Chaos by Gamma Test for Function of Two Dimension | ||
Tikrit Journal of Pure Science | ||
Article 1, Volume 17, Issue 2, June 2012, Pages 217-222 | ||
Author | ||
Asmaa .ABD-Almunam | ||
Abstract | ||
In this paper we have shown that Diagnostics of Chaos for Functions of Two Dimension by Gamma Test ,when the Gamma test is used for non-linear time series analysis and we illustates the relation ship between input /output data set of the from (xi , yi) (1≤i≤m) , where and without loss of generality assume the data is described by an underlying model of the form. y= f(x)+ r =f(x1,…….., xm) + r Where f is a smooth function with bounded first and second order partial derivatives of f at the point x , defined by and with respect to x that there exist constants b1 >0 and b2>0. we accounted the (Г) test (γ=Aδ +Г) and we conclusion that the two functions we used it in this paper of dimension two is chaotic. | ||
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