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

Research output: Contribution to journalConference article

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 languageEnglish
Article number012024
JournalJournal of Physics: Conference Series
Volume1490
Issue number1
DOIs
Publication statusPublished - 9 Jun 2020
Event5th International Conference on Mathematics: Pure, Applied and Computation, ICoMPAC 2019 - Surabaya, Indonesia
Duration: 19 Oct 2019 → …

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