双曲正弦对称混沌激振系统两种方法的数值比较研究

IF 2.2 3区 综合性期刊 Q2 MULTIDISCIPLINARY SCIENCES Symmetry-Basel Pub Date : 2023-10-28 DOI:10.3390/sym15111991
Abdulrahman B. M. Alzahrani, Mohamed A. Abdoon, Mohamed Elbadri, Mohammed Berir, Diaa Eldin Elgezouli
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引用次数: 0

摘要

本文旨在利用一种新的ABC-FD格式和NILM方法求解对称混沌激振系统。所提供方法的结果已与龙格-库塔四阶(RK4)进行了比较。结果发现,建议的技术给出了与RK4方法相当的结果。我们的主要目标是开发有效的方法来解决对称,混沌系统。使用ABC-FD和NILM为理解和有效处理复杂的动力学提供了创新的方法。本研究结果对于解决各种科学和工程背景下混沌行为的发生具有重要意义。这项研究对分数阶微积分及其各种应用具有重要意义。ABC-FD的应用使我们的工作脱颖而出,因为它可以识别混沌行为。这种新颖的方法有助于推进非线性动力学和分数阶微积分的研究。本研究不仅提供了对称混沌激振系统问题的解决方案,而且还提供了一个框架,可用于解决几个领域的类似挑战。本文概述的技术促进了前瞻性分数模型的发展和计算分析,从而促进了科学和工程学科的进步。
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A Comparative Numerical Study of the Symmetry Chaotic Jerk System with a Hyperbolic Sine Function via Two Different Methods
This study aims to find a solution to the symmetry chaotic jerk system by using a new ABC-FD scheme and the NILM method. The findings of the supplied methods have been compared to Runge–Kutta’s fourth order (RK4). It was discovered that the suggested techniques gave results comparable to the RK4 method. Our primary goal is to develop effective methods for addressing symmetrical, chaotic systems. Using ABC-FD and NILM presents innovative approaches for comprehending and effectively handling intricate dynamics. The findings of this study have significant significance for addressing the occurrence of chaotic behavior in diverse scientific and engineering contexts. This research significantly contributes to fractional calculus and its various applications. The application of ABC-FD, which can identify chaotic behavior, makes our work stand out. This novel approach contributes to advancing research in nonlinear dynamics and fractional calculus. The present study not only offers a resolution to the problem of symmetric chaotic jerk systems but also presents a framework that may be applied to tackle analogous challenges in several domains. The techniques outlined in this paper facilitate the development and computational analysis of prospective fractional models, thereby contributing to the progress of scientific and engineering disciplines.
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来源期刊
Symmetry-Basel
Symmetry-Basel MULTIDISCIPLINARY SCIENCES-
CiteScore
5.40
自引率
11.10%
发文量
2276
审稿时长
14.88 days
期刊介绍: Symmetry (ISSN 2073-8994), an international and interdisciplinary scientific journal, publishes reviews, regular research papers and short notes. Our aim is to encourage scientists to publish their experimental and theoretical research in as much detail as possible. There is no restriction on the length of the papers. Full experimental and/or methodical details must be provided, so that results can be reproduced.
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