基于改进观测器的分数阶超混沌Chen系统广义同步

陈向荣 1; 刘崇新 1; 2; 李永勋 1; 2

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基于改进观测器的分数阶超混沌Chen系统广义同步

专题研究 | 更新时间：2025-12-08

- 基于改进观测器的分数阶超混沌Chen系统广义同步
- Generalized Synchronization of Fractional Order Hyperchaotic Chen System with Improved Observer
- 西安交通大学学报 2008年42卷第2期页码：238-242
- 作者机构：
  
  1. 西安交通大学电气工程学院,西安,710049
  2. 西安交通大学电力设备电气绝缘国家重点实验室,西安,710049
- 作者简介：
- 基金信息：
- DOI：
  中图分类号： O415.5
- 网络首发：2008-02-10，
  
  纸质出版：2008
- 稿件说明：
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陈向荣 1, 刘崇新 1, 2, 等. 基于改进观测器的分数阶超混沌Chen系统广义同步[J]. 西安交通大学学报, 2008,42(2):238-242.

陈向荣 1, 刘崇新 1, 2, et al. Generalized Synchronization of Fractional Order Hyperchaotic Chen System with Improved Observer[J]. 2008, 42(2): 238-242.
陈向荣 1, 刘崇新 1, 2, 等. 基于改进观测器的分数阶超混沌Chen系统广义同步[J]. 西安交通大学学报, 2008,42(2):238-242. DOI：

陈向荣 1, 刘崇新 1, 2, et al. Generalized Synchronization of Fractional Order Hyperchaotic Chen System with Improved Observer[J]. 2008, 42(2): 238-242. DOI：

摘要

基于分数阶微积分的预估-校正算法

研究了分数阶超混沌Chen系统

并进行了数值仿真.仿真结果表明

分数阶超混沌Chen系统存在超混沌的最低阶数为3.8阶.根据分数阶稳定性理论

设计了一种改进的状态观测器

利用解析的方法求得广义同步的响应系统

从理论上证明了广义同步方法的可行性.最后

利用该同步方法实现了3.8阶超混沌Chen系统的广义同步

数值仿真结果证实了它的有效性.

Abstract

Based on fractional calculus predictor-corrector algorithm

the fractional-order hyperchaotic Chen system is investigated numerically

and the simulation results show that the lowest orders for hyperchaos in hyperchaotic Chen system gets 3.8. According to the stability theory of fractional-order system

an improved state-observer is designed

and the response system of generalized synchronization is obtained analytically

whose feasibility is proved theoretically. The synchronization method is adopted to realize the generalized synchronization of 3.8-order hyperchaotic Chen system

and the numerical simulation results verify the effectiveness.

关键词

Keywords

references

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