吸引子
混乱的
水准点(测量)
李雅普诺夫指数
赫农地图
加密
遍历性
计算机科学
分叉
控制理论(社会学)
熵(时间箭头)
数学
算法
人工智能
非线性系统
控制(管理)
数学分析
统计
物理
大地测量学
量子力学
地理
操作系统
作者
Uğur Erkan,Abdurrahim Toktaş,Qiang Lai
标识
DOI:10.1016/j.chaos.2022.113032
摘要
The hyperchaotic systems are essentially needed for various applications, especially multimedia encryption, watermarking and communications. However, existing chaotic systems have limited chaotic performance in terms of precise chaos measuring tools like bifurcation and attractor diagrams, Lyapunov exponent (LE), 0-1 test, correlation dimension (CD) and Kolmogorov entropy (KE). In this paper, a new hyperchaotic system so-called 2D Rosenbrock map is designed by exploiting the Rosenbrock function, which has perfect swinging characteristics in modular form. In order to manage the map, two control parameters are inserted to the Rosenbrock function. The proposed 2D Rosenbrock map is self-verified and also validated over a comparison with the recently reported results. The 2D Rosenbrock map has excellent ergodicity and diversity properties. Moreover, the 2D Rosenbrock map is implemented to multimedia encryption. The findings manifest that the designed 2D Rosenbrock map owns superior chaotic capability due to its reproduction and oscillation features.
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