AI Chat Paper
Note: Please note that the following content is generated by AMiner AI. SciOpen does not take any responsibility related to this content.
{{lang === 'zh_CN' ? '文章概述' : 'Summary'}}
{{lang === 'en_US' ? '中' : 'Eng'}}
Chat more with AI
Powered by AMiner. Clicking this button will take you away from SciOpen.
Home Networks and Heterogeneous Media Article
PDF (3.2 MB)
Cite
EndNote(RIS) BibTeX
Collect
Submit Manuscript AI Chat Paper
Show Outline
Outline
Show full outline
Hide outline
Outline
Show full outline
Hide outline
Research Article | Open Access

An effective numerical method for simulating a class of fractional-order chaotic system

Hai Yan Zhang1, Wei Zhang2( )
School of Physics and Electronic Information Engineering, Jining Normal University, Ulanqab, Inner Mongolia 012000, China
Institute of Economics and Management, Jining Normal University, Ulanqab, Inner Mongolia 012000, China
Show Author Information

Abstract

This paper investigates the chaotic dynamics and control of fractional-order chaotic systems. A high-precision numerical method based on the Grünwald–Letnikov definition is developed to explore the system's dynamics. We also design linear feedback and adaptive control strategies to achieve chaotic synchronization and system stabilization. Numerical simulations validate the effectiveness of our methods, showing successful synchronization and control of the chaotic system.

Keywords

numerical methodstability analysisadaptive controlfractional-order chaotic system

References

【1】
【1】
 
 
Crossref Google Scholar
Networks and Heterogeneous Media
Volume 20 Issue 4,
October 2025
Pages 1087-1107
DOI: 10.3934/nhm.2025047

{{item.num}}

Comments on this article

Go to comment

< Back to all reports

Review Status: {{reviewData.commendedNum}} Commended , {{reviewData.revisionRequiredNum}} Revision Required , {{reviewData.notCommendedNum}} Not Commended Under Peer Review

Review Comment

Cite this Report
Close
Close
Cite this article:
Zhang HY, Zhang W. An effective numerical method for simulating a class of fractional-order chaotic system. Networks and Heterogeneous Media, 2025, 20(4): 1087-1107. https://doi.org/10.3934/nhm.2025047

107

Views

4

Downloads

1

Crossref

1

Web of Science

1

Scopus
Received: 09 August 2025
Revised: 24 September 2025
Accepted: 10 October 2025
Published: 15 October 2025
©2025 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)