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

摘要:

以Logistic映射为物理模型，计算了噪声混沌系统的Lyapunov指数谱，并利用其分析了噪卢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．若陔区间的平均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。

Abstract:

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,a estimate method of time threshold based on statistics analysis was proposed and estimated time thresholds of Logistic map.