TY - JOUR
T1 - The composition of the improved logistic map and the MS map in generating a new chaotic function
AU - Satria, Yudi
AU - Suryadi, null
AU - Solihat, Ita M.
AU - Prawadika, Luqman N.
AU - Melvina, Venny
N1 - Funding Information:
This research is funded by Direktorat Riset dan Pengabdian Masyarakat Universitas Indonesia in the scheme of Hibah PITTA B based on the contract No. NKB-0672/UN2.R3.1/HKP.05.00/2019.
Publisher Copyright:
© Published under licence by IOP Publishing Ltd.
PY - 2020/6/9
Y1 - 2020/6/9
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=85088141829&partnerID=8YFLogxK
U2 - 10.1088/1742-6596/1490/1/012046
DO - 10.1088/1742-6596/1490/1/012046
M3 - Conference article
AN - SCOPUS:85088141829
SN - 1742-6588
VL - 1490
JO - Journal of Physics: Conference Series
JF - Journal of Physics: Conference Series
IS - 1
M1 - 012046
T2 - 5th International Conference on Mathematics: Pure, Applied and Computation, ICoMPAC 2019
Y2 - 19 October 2019
ER -