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H. Wang, Z. Z. Han, Q. Y. Xie, et al., “Finite-Time Chaos Control of Unified Chaotic Systems with Uncertain Parameters,” Communications in Nonlinear Science and Numerical Simulation, Vol. 55, No. 4, 2009, pp. 323-328.

has been cited by the following article:

• TITLE: A Self-Adaptive Parallel Encryption Algorithm Based on Discrete 2D-Logistic Map

  AUTHORS: Jing Wang, Guoping Jiang

  KEYWORDS: 2D-Logistic Map; Pseudo-Random Matrix; Theoretical Analysis; Simulation Results

  JOURNAL NAME: International Journal of Modern Nonlinear Theory and Application, Vol.2 No.1A, March 29, 2013

  ABSTRACT: A self-adaptive parallel encryption algorithm based on discrete 2D-Logistic map is developed according to the position scrambling and diffusion of multi-direction in variable space of spatial chaos. The binary sequences b1b2b3···bn are obtained according to the user key, in which the binary sequence 0 and 1 denote distribution mode of processors and the number of binary sequence n denotes cycle number. Then the pseudorandom 2D matrix is generated by 2D-Logistic map, and adaptive segmentation is applied in image matrix and pseudorandom matrix according to the value and the number of binary sequence. The parallel operation is used among blocks to improve efficiency and meet real-time demand in transmission processes. However, the pixel permutation is applied in partitioned matrix through ergodic matrix generated by pseudo-random matrix-block to decrease the correlation of adjacent pixels. Then the pixel substitution is used for fully diffusing through cipher block chaining mode until n cycles. The proposed algorithm can meet the three requirements of parallel operation in image encryption and the real-time requirement in transmission processes. The security is proved by theoretical analysis and simulation results.