A perturbation method to the tent map based on Lyapunov exponent and its application

• 作者: 丘森辉 刘俊秀 曹绿晨 罗玉玲
• 来源期刊: 中国物理B（英文版）
• 关键词: perturbation tent map Lyapunov exponent finite precision
• 年，卷（期）: 2015,（10）
• 页码范围: 100501-1-100501-8
• 页数: 1页
• 语种: 英文
• DOI: 10.1088/1674-1056/24/10/100501

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.