摘要
根据椭圆反射腔物理模型 ,提出了一种改变系统演化轨道的切延迟操作方法 ,导出了基于该方法的一类离散混沌映射系统 .实验表明 ,这类离散混沌系统最大Lyapunov指数恒大于零 ,状态变量等概率分布且与参数和初值无关 ,全域零相关性 ,切延迟 1单位时存在一个稳定不变的方形吸引子 ,切延迟大于 1单位时走向各态遍历 .这类离散混沌系统可以产生两个独立的伪随机序列 。
Based on the physical model of ellipse reflecting cavity, the tangent_delay operation is proposed to change the evolution route of the systems, and a new class of discrete chaotic map systems is deduced based on the tangent_delay operation. Simulation experiments show that the discrete chaotic systems have many special properties such as the maximum Lyapunov exponent is over zero, unchangeable equiprobability distribution and zero correlation in total field, there exists a square chaotic attractor when tangent delays one unit, and become ergodic state when tangent delays more units than one. The discrete chaotic systems can generate 2 independent pseudo_random sequences together. All of the properties suggest that the class of chaos systems possesses the potential application in encryption.
出处
《物理学报》
SCIE
EI
CAS
CSCD
北大核心
2004年第9期2871-2876,共6页
Acta Physica Sinica
基金
湖南省自然科学基金 (批准号 :0 1JJY2 110 )资助的课题~~
