利用分形-分数算子对有竞争的爱情动态进行混沌研究

IF 1.5 4区 工程技术 Q3 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS Engineering Computations Pub Date : 2024-08-20 DOI:10.1108/ec-02-2024-0151
Anil Kumar, Pawan Kumar Shaw, Sunil Kumar
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引用次数: 0

摘要

设计/方法/途径在分形模型上实施基于分形-分形导数的数值技术,并分析不同分形阶数和分形维数值下的条件。研究结果分析了数值技术在不同分数阶数和分形维度值下获得的数值解,结果表明该解的混沌或非混沌行为均符合条件。因此,我们的工作不仅研究了分形阶的条件,还通过同时调整分形维度值对模型进行了检验。结果发现,在某些分形维值和分形阶值与条件相对应时,模型仍具有混沌或非混沌行为。
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A chaotic study of love dynamics with competition using fractal-fractional operator

Purpose

The objective of this work is to analyze the necessary conditions for chaotic behavior with fractional order and fractal dimension values of the fractal-fractional operator.

Design/methodology/approach

The numerical technique based on the fractal-fractional derivative is implemented over the fractional model and analyzes the condition at the distinct values of fractional order and fractal dimension.

Findings

The obtained numerical solution from the numerical technique is analyzed at distinct fractional order and fractal dimension values, and it has been figured out that the behavior of the solution either chaotic or non-chaotic agrees with the condition.

Originality/value

The necessary condition is associated with the fractional order only. So, our work not only studies the condition with fractional order but also examines the model by simultaneously adjusting fractal dimension values. It is found that the model still has chaotic or non-chaotic behavior at certain fractal dimension values and fractional order values corresponding to the condition.

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来源期刊
Engineering Computations
Engineering Computations 工程技术-工程:综合
CiteScore
3.40
自引率
6.20%
发文量
61
审稿时长
5 months
期刊介绍: The journal presents its readers with broad coverage across all branches of engineering and science of the latest development and application of new solution algorithms, innovative numerical methods and/or solution techniques directed at the utilization of computational methods in engineering analysis, engineering design and practice. For more information visit: http://www.emeraldgrouppublishing.com/ec.htm
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