Dynamical Behavior of Logistic Map for Different Parameter Values

Md. Asraful Islam, Payer Ahmed

Abstract


 In this paper we have developed dynamical behavior of logistic map. We have discussed some basic concepts of fixed point, attracting fixed point, neutral fixed point, repelling fixed point and chaos. A proposition, a theorem and a lemma are established. Chaotic behavior of logistic map considering initial seeds, iteration of logistic map, sensitivity to numerical inaccuracies of logistic map, Sensitivity analysis to initial value of logistic map,  time series analysis of logistic map are given. Finally we have shown that the attracting fixed point, neutral fixed point and repelling fixed point of logistic map for different parameter values. 


Keywords


Logistic Map; Attracting Fixed Point; Neutral Fixed point; Repelling Fixed Point; Chaos.

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References


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