PERIOD DOUBLING SCENARIO EXHIBIT ON ARTIFICIAL NEURAL NETWORK MODEL

T.K. Dutta

Abstract


In this paper we consider a two dimensional nonlinear artificial neural model of memory with  as control parameter. Here we investigate the existence of dynamical behaviour of period-doubling route that leads to chaos. We create a suitable C-programming and use Mathematica software to study period doubling route to chaos. The bifurcation points have been calculated numerically and have been observed that the map follows a universal behavior that has been proposed by Feigenbaum. With the help of experimental bifurcation points the accumulation point where chaos starts has been calculated.

Keywords: Periodic points, Bifurcation, Feigenbaum universal Constant,AccumulationPoint


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References


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