分形影响下洛伦兹化学体系的混沌行为

IF 2.9 2区 化学 Q2 CHEMISTRY, MULTIDISCIPLINARY
Muhammad Marwan, Anda Xiong, Maoan Han, Ramla Khan
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引用次数: 0

摘要

本文研究了一种基于洛伦兹系统变异的混沌化学反应系统。本研究表明,尽管所考虑的化学模型的第一相肖像和洛伦兹模型具有可比性,但它们并没有完全遵循洛伦兹系统的所有特征。在目前的工作中,讨论了基于化学反应的系统中分形存在的问题。此外,我们还首次利用分形盆地对分形过程产生的混沌系统的各翼内隐藏信息进行了研究。此外,我们仔细观察了整个盆地模型的动力学,揭示了每个翼内存在隐藏和循环吸引子的更多细节。在本研究中,我们还为系统(1)制作了多翼,以一般方式证明循环吸引子的数量增加与翼的数量直接相关。此外,我们使用Julia方法来完成多翼的工作,而为了在每个额外翼内搜索循环吸引子,我们使用了1500万个初始条件并将它们编译为一个盆地集。为了方便读者,本文也提供了这项工作中产生的数据。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Chaotic Behavior of Lorenz-Based Chemical System under the Influence of Fractals
This research examines a chaotic chemical reaction system based on the variation of the Lorenz system. This study demonstrates that although the first phase portraits of the chemical models under consideration and the Lorenz models are comparable, they do not fully follow all the features of the Lorenz system. Questions about the existence of fractals in systems based on chemical reactions are addressed in the current work. Moreover, we have worked on the hidden information inside in each wings of a chaotic system generated through fractal process, for the first time, with the aid of basin for fractals. Additionally, we looked closely at the dynamics of the model across the basin, which revealed additional details regarding the existence of hidden and cyclic attractors inside each wing. We also produced multi-wings for system (1) in the current study, demonstrating in a general manner that the number of cyclic attractors increase in a direct relation to the number of wings. Moreover, Julia approach is used to accomplish the work of multi-wings, whereas for searching cyclic attractors inside each extra wing, we have used fifteen million initial conditions and compiled them as a basin set. The data generated in this work is also provided within this paper for the ease of readers.
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来源期刊
CiteScore
4.40
自引率
26.90%
发文量
71
审稿时长
2 months
期刊介绍: MATCH Communications in Mathematical and in Computer Chemistry publishes papers of original research as well as reviews on chemically important mathematical results and non-routine applications of mathematical techniques to chemical problems. A paper acceptable for publication must contain non-trivial mathematics or communicate non-routine computer-based procedures AND have a clear connection to chemistry. Papers are published without any processing or publication charge.
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