Parameter estimation for chaotic systems with and without noise using differential evolution-based method

被引：14

作者：

Li Nian-Qiang ^{[1
]}

Pan Wei ^{[1
]}

Yan Lian-Shan ^{[1
]}

Luo Bin ^{[1
]}

Xu Ming-Feng ^{[1
]}

Jiang Ning ^{[1
]}

机构：

[1] SW Jiaotong Univ, Ctr Informat Photon & Commun, Chengdu 610031, Peoples R China

来源：

CHINESE PHYSICS B | 2011年 / 20卷 / 06期

基金：

中国国家自然科学基金;

关键词：

chaotic system; differential evolution; noise; parameter estimation; PARTICLE SWARM OPTIMIZATION; SEMICONDUCTOR-LASER; OPTICAL FEEDBACK; TIME-SERIES; SYNCHRONIZATION; IDENTIFICATION; ALGORITHM;

D O I：

10.1088/1674-1056/20/6/060502

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We present an approach in which the differential evolution (DE) algorithm is used to address identification problems in chaotic systems with or without delay terms. Unlike existing considerations, the scheme is able to simultaneously extract (i) the commonly considered parameters, (ii) the delay, and (iii) the initial state. The main goal is to present and verify the robustness against the common white Guassian noise of the DE-based method. Results of the time-delay logistic system, the Mackey-Glass system and the Lorenz system are also presented.

引用

页数：6

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