分-分数算子在Lorenz模型研究中的应用

IF 0.4 4区综合性期刊 Q4 ECOLOGY

Interciencia Pub Date : 2023-01-01 DOI:10.59671/iu1om

Yagoub. A. S. Arko, M. Y. Youssif, O.A.I. Elziber, M. A. Osman, S. Saber

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引用次数: 0

摘要

本文将一个直接的非线性方程组推广到分形-分数阶非线性系统的领域，并对结果进行数值分析。本文给出了洛伦兹模型的分形-分数动力学。首先，我们建立了模型，并提出了一些参数和初始条件的值来表示模型变得混沌。然后在给定的模型上应用Caputo意义上的分形-分数算子。对于每个算子的分形-分数模型，提出了一种新的数值方法。考虑了分数阶和分形阶的合适取值，并给出了图形化结果。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Application of Fractal-Fractional Operators to Study a Lorenz Model

This paper will extend a straight forward system of nonlinear equations to the realm of fractal-fractional nonlinear systems and conduct a numerical analysis of the results. This paper present the fractal-fractional dynamics of a Lorenz model. Initially, we formulate the model and suggest some values for the parameters and initial conditions to show the model become chaotic. Then we apply the fractal-fractional operators in the sense of Caputo on the given model. For the fractal-fractional model in each operator, a novel numerical approach is presented. Some suitable values for the fractal and fractional orders are considered, and the graphical results are shown.

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来源期刊

Interciencia 综合性期刊-生态学

CiteScore

0.80

自引率

25.00%

发文量

审稿时长

4-8 weeks

期刊介绍： Interciencia is the monthly multidisciplinary publication of the INTERCIENCIA Association. It is dedicated to stimulate scientific research, its humanitarian use and the study of its social context, specially in Latin America and the Caribbean and to promote communication between the scientific and technological communities of the Americas. Interciencia has been published uninterruptedly since 1976. Its Founding Director, Marcel Roche (endocrinologist and sociologist of science) was editor until 2008, and thereafter Miguel Laufer (neurobiologist) has been in charge. It has been included since 1978 in the Science Citation Index and other international indexes, and since 2008 it maintains an open access electronic version with material from 2005 onwards. The priority areas of the journal, without exclusion of other areas, are Agronomy, Arid Lands, Food and Nutrition, Biotechnology, Ecology and Environment, Energy, Innovation and Technology Transfer, Marine Resources, Non-renewable Resources, Science Education, Science Policy, Study and Sociology of Science, and Tropical Forests. Interciencia publishes in Spanish, Portuguese and English research and review articles, communications and essays, all of which are subjected to peer review. Additionally, it includes non-refereed sections such as Editorial, Letters to the Editor, Open Town Hall, Book Reviews and Upcoming Events. All the material submitted to the journal for publication and accepted by the Editorial Committee in view of its quality and pertinence is subjected to review by peer specialists in the corresponding fields of knowledge. Neither the INTERCIENCIA Association, nor the journal or the institutions to which the authors belong carry responsibility for the contents. Signing authors are responsible for the material published under their names.