NDLI: Generalized fractional logistic map suitable for data encryption

Content Provider	IEEE Xplore Digital Library
Author	Ismail, S.M. Said, L.A. Radwan, A.G. Madian, A.H. Abu-ElYazeed, M.F. Soliman, A.M.
Copyright Year	2015
Description	Author affiliation: Electron. & comm. Eng. Dept., Cairo Univ., Cairo, Egypt (Abu-ElYazeed, M.F.; Soliman, A.M.) \|\| Dept. of Eng. Math. & Phys., Cairo Univ., Cairo, Egypt (Radwan, A.G.) \|\| Fac. of IET, German Univ. in Cairo, Cairo, Egypt (Ismail, S.M.; Said, L.A.) \|\| NISC Res. Center, Nile Univ., Cairo, Egypt (Madian, A.H.)
Abstract	This paper presents a generalized form of the fractional logistic map. Two general parameters a and b are added to the classical fractional logistic equation. The effect of such parameters on the map is studied explicitly, in combination with the fractional order parameter α, which offers an extra degree of freedom increasing the design flexibility and adding more controllability on the design. The vertical and the zooming map are two special maps that arise as a result of the added parameters. Moreover, different design problems are offered in this work, as a resultant of the control of all these parameters at hand. This shows that any application specific map can be designed, highlighting the flexibility and integrity of the design. The combination of the added extra parameters a and b in addition to the system parameter ρ and the initial condition x0, as well as the fractional order parameter α makes the proposed generalized fractional logistic map the most favorable in constructing more efficient encryption keys.
Starting Page	336
Ending Page	341
File Size	607734
Page Count	6
File Format	PDF
e-ISBN	9781467376709
DOI	10.1109/TICST.2015.7369382
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2015-11-04
Publisher Place	Thailand
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Logistic map Chaotic communication Bifurcation Stability analysis Fractional Encryption Fractional calculus Logistics
Content Type	Text
Resource Type	Article

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