Abstract
A new chaotic map is proposed from the composition of the improved logistic map and the MS map. The composition is done by mapping the MS map first, where the result is then mapped by the improved logistic map. The new map as the result of the composition is chaotic. This is shown by the Lyapunov Exponent analysis, bifurcation diagrams, and the NIST randomness test. The Lyapunov Exponent results with x0 = 0.1 are non-negative for r ∈ [1,4]. Its bifurcation diagrams with p ∈ (0,4) has a better density at r ∈ 2.5. The new chaotic function also passes 10 out of 16 NIST test, with initial value and parameter values x0 = 0.1, r = 2.5, and p = 2.5.
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