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分数阶时滞金融混沌系统的完全同步

黄承代 汪华南 刘恒

信阳师范学院学报(自然科学版)2025,Vol.38Issue(1):87-91,5.
信阳师范学院学报(自然科学版)2025,Vol.38Issue(1):87-91,5.DOI:10.3969/j.issn.2097-583X.2025.01.012

分数阶时滞金融混沌系统的完全同步

Complete synchronization of time delayed fractional-order chaotic financial system

黄承代 1汪华南 1刘恒2

作者信息

  • 1. 信阳师范大学数学与统计学院,河南信阳 464000
  • 2. 广西民族大学数学与物理学院,广西南宁 530006
  • 折叠

摘要

Abstract

The problem of complete synchronization for a novel class of fractional-order (FO) delayed financial chaotic systems was discussed. Three feedback gain controllers with time delay were designed in the response system. Based on FO Razumikhin theorem and fractional inequality,a sufficient condition for the complete synchronization of the drive-response system was obtained. The results showed that the state of the response system would be complete synchronized with the state of the drive system,and the state of the error system would be stable,which shows that the design of the controller is effective. Ultimately,numerical verifications were given to verify the correctness of the results obtained.

关键词

分数阶/时滞金融混沌系统/完全同步/分数阶拉兹密辛定理

Key words

fractional-order(FO)/delayed financial chaotic system/complete synchronization/fractionalorder Razumikhin theorem

分类

数理科学

引用本文复制引用

黄承代,汪华南,刘恒..分数阶时滞金融混沌系统的完全同步[J].信阳师范学院学报(自然科学版),2025,38(1):87-91,5.

基金项目

国家自然科学基金项目(12261009) (12261009)

信阳师范大学研究生科研创新基金项目(2024KYJJ005) (2024KYJJ005)

信阳师范学院学报(自然科学版)

1003-0972

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