多稳态
吸引子
加密
混乱的
洛伦兹系统
分岔图
相空间
控制理论(社会学)
非线性系统
参数空间
李雅普诺夫指数
分叉
计算机科学
控制器(灌溉)
数学
统计物理学
人工智能
数学分析
控制(管理)
物理
统计
量子力学
生物
农学
热力学
操作系统
作者
Gervais Dolvis Leutcho,Huihai Wang,T. Fonzin Fozin,Kehui Sun,Zeric Tabekoueng Njitacke,Jacques Kengne
标识
DOI:10.1142/s0218127422500018
摘要
Using an effective nonlinear feedback controller, a novel 4D hyperchaotic Lorenz system is built. Dynamical analyses show that it has interesting properties. Using some well-known analysis tools like Lyapunov spectrum, bifurcation analysis, chaos diagram, and phase space trajectories, it is found that several bifurcations enable the hyperchaotic dynamics to occur in the introduced model. Also, many windows of heterogeneous multistability are found in the parameter space (i.e. coexistence of a pair of chaotic attractors, coexistence of a periodic and a chaotic attractor). Besides, DSP implementation is successfully used to support the results of the theoretical prediction. Finally, a judicious image encryption algorithm based on the hyperchaotic Lorenz system is proposed with detailed analysis. The effectiveness of the proposed approach is confirmed via several security analyses, which yields a secure image encryption application.
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