A New Fractional-order Chaotic System and Its Synchronization

WANG Hui; BAI Chen-xi

Chinese

您当前的位置：

首页 >

文章列表页 >

A New Fractional-order Chaotic System and Its Synchronization

更新时间：2026-09-04

- A New Fractional-order Chaotic System and Its Synchronization
- Vol. 28, Issue 1, Pages: 64-68(2011)
- 作者机构：
  
  1. 1 河南大学机构图书馆,河南,开封,457004
  2. 2 河南大学计算中心,河南,开封,457004
- 作者简介：
- 基金信息：
- DOI：
  CLC：
- Published：2011
- 稿件说明：
移动端阅览
王慧, 白晨希. 新的分数阶混沌系统及其同步控制[J]. 微电子学与计算机, 2011, 28(1): 64-68.

WANG Hui, BAI Chen-xi. A New Fractional-order Chaotic System and Its Synchronization[J]. 2011, 28(1): 64-68.
王慧, 白晨希. 新的分数阶混沌系统及其同步控制[J]. 微电子学与计算机, 2011, 28(1): 64-68. DOI：

WANG Hui, BAI Chen-xi. A New Fractional-order Chaotic System and Its Synchronization[J]. 2011, 28(1): 64-68. DOI：

摘要

研究了一个新的分数阶系统的混沌动力学行为.基于分数阶微积分理论和数值模拟

发现在该新的分数阶系统中存在混沌

并且得出该分数阶系统能产生混沌吸引子的最低阶数为2.49阶.根据分数阶动力系统稳定性理论

通过设计非线性控制器

实现了新的分数阶混沌系统的投影同步

该方法设计简便

并且不需要计算Lyapunov指数

数值模拟结果验证了该同步方法的有效性.

Abstract

The chaotic behaviors in a new fractional-order system are investigated in this paper.By applying the fractional calculus theory and computer simulations

it is found that chaos does exist in the new fractional-order three-dimensional system with order less than 3.The lowest order to yield chaos in this system is 2.49.Further

based on the stability theory of the fractional-order system

projective synchronization of the new fractional-order chaotic system through designing the suitable nonlinear controller is studied.The proposed scheme is rather simple and need not compute the conditional Lyapunov exponents.Numerical results are performed to verify the effectiveness of the proposed synchronization scheme.

关键词

Keywords

references

Views

下载量

CSCD

Alert me when the article has been cited

提交

Tools

Publicity Resources

Steganography model guided by attention mechanism and improved dense convolution

A high-efficiency charge pump for ultra-low voltage boost systems

Monte carlo analysis of V-layout trench SiC neutron detector

Lightweight countermeasures against Spectre attacks on the branch prediction unit

Aerial vehicle detection algorithm based on multi-scale fusion and small-object enhancement

Related Author

No data

Related Institution

No data

AI问答

Postal code：100079
Tel：（010）53879206 Email：tmw@bjxintong.com.cn
Technical support is provided by Beijing Founder electronics co., LTD 京ICP备09082226号-64 京公网安备11010602201714号
It is recommended to read the content of this site in Chrome&IE9+. Please switch to extreme mode in browser 360.
Cookies We use cookies to help provide and enhance our service and tailor content. By continuing, you agree to the use of cookies.

⁰