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首页> 外文期刊>International journal of bifurcation and chaos in applied sciences and engineering >An Improved Return Maps Method for Parameter Estimation of Chaotic Systems
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An Improved Return Maps Method for Parameter Estimation of Chaotic Systems

机译:一种改进的混沌系统参数估计的回报映射方法

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摘要

Recently, an effective method called return maps is proposed for the parameter estimation of chaotic systems. However, high time-consumption limits practical applications. In this paper, we focus on this problem, and an improved return maps method is proposed. It combines the differential evolution algorithm with the return maps method, and simplifies the calculation process of Euclidean distance. Numerical simulations are carried out on two fractional-order chaotic systems, and the other five methods are used as the comparison. Results show that the improved method can accurately estimate the parameters of chaotic systems, and it saves much time than does the classical return maps method. Furthermore, the proposed method also exhibits good anti-noise performance.
机译:最近,提出了一种称为返回地图的有效方法,用于混沌系统的参数估计。 但是,高时间消耗限制了实际应用。 在本文中,我们专注于这个问题,提出了一种改进的返回地图方法。 它将差分演化算法与返回地图方法相结合,简化了欧几里德距离的计算过程。 数值模拟在两个分数秩序混沌系统上进行,另外五种方法用作比较。 结果表明,改进的方法可以准确地估计混沌系统的参数,它节省了大量的经典回归地图方法。 此外,所提出的方法还表现出良好的抗噪声性能。

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