可精确计算的混沌系统不稳定周期轨的潜在影响

文章从理论分析与数值仿真两个途径,考查了一类一维混沌映射系统的不稳定周期点,指出由于技术实现的绝对精确,不稳定不动点或不稳定周期轨会表现出长期稳定性。在利用混沌系统产生伪随机序列或进行类似应用时,它是导致混沌序列收敛或出现短周期行为的另一潜在原因。提出了避免其发生的方法。

Unstable Periodic Orbits of the Chaos Map Systems

In this paper,unstable periodic orbits of a class of one-dimensional chaotic map systems have been investigated based on in both the stability theory and the numerical simulation.The results show that those orbits are stable based on accurate numerical computation.When using chaotic system to generate pseudorandom sequences or to do the similar application,it will be another reason to lead the chaos sequences converge or appearing short periods.The way to avoid it has been proposed.