噪声引导混沌同步的同步时间分析

Analysis of Synchronization Time Based on Noise-induced Chaotic Synchronization

以Logistic映射为物理模型,计算了噪声混沌系统的Lyapunov指数谱,并利用其分析了噪声分布区间与同步时间的关系,发现同步时间与噪声分布区间内的平均Lyapunov指数直接相关,若该区间的平均Lyapunov指数越小,则同步时间越短。最后,提出了一种基于统计分析的时间阈值估算方法,并用该方法估算了Logistic系统在不同同步精度下的时间阈值。

Taken Logistic map as physical model, this article calculated Lyapunov exponents of noise chaotic system and analysed the relation of noise distributed-interval and synchronization time. It found that synchronization time is related directly to the mean Lyapunov exponent which is due to noise distributed-interval. The synchronization time becomes smaller as the mean exponent becomes smaller. Finally, an estimate method of time threshold based on statistics analysis was proposed and estimated time thresholds of Logistic map.