物理学报Issue(12)：1-11,11.DOI:10.7498/aps.63.120511
简化Lorenz多涡卷混沌吸引子的设计与应用
Design and application of multi-scroll chaotic attractors based on simplified Lorenz system
摘要
Abstract
Two linear systems are obtained by employing linearization technique in a simplified Lorenz system, and a two-scroll chaotic attractor is generated via the control method. Multi-scroll chaotic attractors are generated by extending the saddle-focus equilibrium points with index 2. Dynamic characteristics of the multi-scroll chaotic system are analyzed by observing the phase diagrams, bifurcation diagrams, Poincaré sections and calculating the largest Lyapunov exponent. A circuit for the multi-scroll attractor is designed and simulated. The numerical simulation result and the circuit simulation result are consistent with each other. To apply the multi-scroll chaotic systems to image encryption, an improved hybrid encryption algorithm is designed based on the multi-scroll chaotic system and advanced encryption standard (AES), and its encryption performances are analyzed. The results show that the improved hybrid encryption has a higher security.关键词
混沌/多涡卷吸引子/简化Lorenz系统/图像加密Key words
chaos/multi-scroll attractor/simplified Lorenz system/image encryption引用本文复制引用
艾星星,孙克辉,贺少波,王会海..简化Lorenz多涡卷混沌吸引子的设计与应用[J].物理学报,2014,(12):1-11,11.基金项目
国家自然科学基金(批准号:61161006,61073187)和中央高校基本科研业务费(批准号:72150050650)资助的课题.* Project supported by the National Natural Science Foundation of China (Grant Nos.61161006,61073187) and the Funda-mental Research Fund for the Central Universities, China (Grant No.72150050650) （批准号:61161006,61073187）
