A new chaotic map development through the composition of the MS Map and the Dyadic Transformation Map

M. T. Suryadi; Yudi Satria; Venny Melvina; Luqman N. Prawadika; Ita M. Sholihat

doi:10.1088/1742-6596/1490/1/012024

A new chaotic map development through the composition of the MS Map and the Dyadic Transformation Map

M. T. Suryadi, Yudi Satria, Venny Melvina, Luqman N. Prawadika, Ita M. Sholihat

Department of Mathematics

Research output: Contribution to journal › Conference article › peer-review

2 Citations (Scopus)

Abstract

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 ? ? (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 ? = 3.5 shows that the new chaotic map passes 14 out of 16 NIST tests.

Original language	English
Article number	012024
Journal	Journal of Physics: Conference Series
Volume	1490
Issue number	1
DOIs	https://doi.org/10.1088/1742-6596/1490/1/012024
Publication status	Published - 9 Jun 2020
Event	5th International Conference on Mathematics: Pure, Applied and Computation, ICoMPAC 2019 - Surabaya, Indonesia Duration: 19 Oct 2019 → …

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title = "A new chaotic map development through the composition of the MS Map and the Dyadic Transformation Map",

abstract = "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 ? ? (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 ? = 3.5 shows that the new chaotic map passes 14 out of 16 NIST tests.",

author = "Suryadi, {M. T.} and Yudi Satria and Venny Melvina and Prawadika, {Luqman N.} and Sholihat, {Ita M.}",

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AU - Suryadi, M. T.

AU - Satria, Yudi

AU - Melvina, Venny

AU - Prawadika, Luqman N.

AU - Sholihat, Ita M.

N1 - Publisher Copyright: © Published under licence by IOP Publishing Ltd.

PY - 2020/6/9

Y1 - 2020/6/9

N2 - 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 ? ? (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 ? = 3.5 shows that the new chaotic map passes 14 out of 16 NIST tests.

AB - 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 ? ? (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 ? = 3.5 shows that the new chaotic map passes 14 out of 16 NIST tests.

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T2 - 5th International Conference on Mathematics: Pure, Applied and Computation, ICoMPAC 2019

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A new chaotic map development through the composition of the MS Map and the Dyadic Transformation Map

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