Open AccessA new chaotic map development through the composition of the MS Map and the Dyadic Transformation Map
Author(s) -
Suryadi Mt,
Yudi Satria,
Venny Melvina,
Luqman N. Prawadika,
Ita M. Sholihat
Publication year - 2020
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1490/1/012024
Subject(s) - randomness , chaotic , lyapunov exponent , nist , transformation (genetics) , chaotic map , mathematics , bifurcation diagram , standard map , tent map , bifurcation , diagram , statistical physics , mathematical analysis , computer science , statistics , physics , artificial intelligence , nonlinear system , biochemistry , chemistry , quantum mechanics , natural language processing , gene
In this paper, a new chaotic map is proposed, that is obtained from the composition of two chaotic maps, that is, the MS Map and the Dyadic Transformation Map. The composition process starts from the MS Map, followed by the Dyadic Transformation Map. The resulting composition is a new chaotic function. This is shown by the bifurcation diagram analysis result, Lyapunov Exponents, and the NIST randomness test. The bifurcation diagram shows that the best densities occur at λ ∈ (0.3, 5) and r = 3.8. The Lyapunov Exponents has nonnegative values for r ∈ [1, 4]. The NIST randomness test with initial value and parameters x 0 = 0.6, r = 3.8, and λ = 3.5 shows that the new chaotic map passes 14 out of 16 NIST tests.