Open AccessIMAGE ENCRYPTION BASED ON TWO-DIMENSIONAL FRACTIONAL QUADRIC POLYNOMIAL MAP
Author(s) -
Zeyu Liu,
Tiecheng Xia,
Hua-Rong Feng,
Chao Ma
Publication year - 2021
Publication title -
fractals
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.654
H-Index - 44
eISSN - 1793-6543
pISSN - 0218-348X
DOI - 10.1142/s0218348x21400417
Subject(s) - quadric , lyapunov exponent , mathematics , logistic map , phase portrait , encryption , chaotic map , chaotic , image (mathematics) , polynomial , algorithm , bifurcation , nonlinear system , pure mathematics , computer science , mathematical analysis , artificial intelligence , physics , quantum mechanics , operating system
A new fractional two-dimensional quadric polynomial discrete chaotic map (2D-QPDM) with the discrete fractional difference is proposed. Afterwards, the new dynamical behaviors are observed, so that the bifurcation diagrams, the largest Lyapunov exponent plot and the phase portraits of the proposed map are given, respectively. The new discrete fractional map is exploited into color image encryption algorithm and it is illustrated with several examples. The proposed image encryption algorithm is analyzed in six aspects which indicates that the proposed algorithm is superior to other known algorithms as a conclusion.