中国物理B ›› 2015, Vol. 24 ›› Issue (10): 100501-100501.doi: 10.1088/1674-1056/24/10/100501
曹绿晨a, 罗玉玲a, 丘森辉a, 刘俊秀b
Cao Lv-Chen (曹绿晨)a, Luo Yu-Ling (罗玉玲)a, Qiu Sen-Hui (丘森辉)a, Liu Jun-Xiu (刘俊秀)b
摘要:
Perturbation imposed on a chaos system is an effective way to maintain its chaotic features. A novel parameter perturbation method for the tent map based on the Lyapunov exponent is proposed in this paper. The pseudo-random sequence generated by the tent map is sent to another chaos function – the Chebyshev map for the post processing. If the output value of the Chebyshev map falls into a certain range, it will be sent back to replace the parameter of the tent map. As a result, the parameter of the tent map keeps changing dynamically. The statistical analysis and experimental results prove that the disturbed tent map has a highly random distribution and achieves good cryptographic properties of a pseudo-random sequence. As a result, it weakens the phenomenon of strong correlation caused by the finite precision and effectively compensates for the digital chaos system dynamics degradation.
中图分类号: (Nonlinear dynamics and chaos)