南京大学学报(自然科学版) ›› 2016, Vol. 52 ›› Issue (5): 809.
蔡 丹1*,季晓勇1,史 贺1,潘家民2
Cai Dan1*,Ji Xiaoyong1,Shi He1,Pan Jiamin2
摘要: Logistic混沌映射和Tent映射是两种广泛应用于通信安全领域的混沌映射,Tent映射具有分段特性,由此联想到将Logistic混沌映射推广为分段映射.提出一种三分段相切的Logistic混沌序列的方法,不仅规避了Tent映射需施加随机扰动的过程,并改善了Logistic混沌映射的随机性能,增加了系统的复杂度和抗攻击能力.实验证明在相同的区间上,三分段相切的Logistic混沌映射更早地进入混沌状态,且在 3.57≤μ≤4时运动轨迹愈发地不稳定,Lyapunov指数为逐渐增大的正数,更复杂的非线性方程提高了系统的安全性.在相同的分叉判定阈值下,三分段相切Logistic混沌映射进入混沌状态时需要的迭代次数明显减小.因此,三分段相切的Logistic混沌序列具有更加良好的随机性和不可预测性.经过研究表明,该三分段相切的Logistic混沌映射具有良好的初值敏感性,广泛地适用于信息安全领域.
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