Rigorously proven chaos in chemical kinetics.

IF 3.2 2区数学 Q1 MATHEMATICS, APPLIED Chaos Pub Date : 2024-10-01 DOI:10.1063/5.0206749

M Susits, J Tóth

引用次数: 0

Abstract

This study addresses a longstanding question regarding the mathematical proof of chaotic behavior in kinetic differential equations. Following the numerous numerical and experimental results in the past 50 years, we introduce two formal chemical reactions that rigorously demonstrate this behavior. Our approach involves transforming chaotic equations into kinetic differential equations and then realizing them through formal chemical reactions. The findings present a novel perspective on chaotic dynamics within chemical kinetics, thereby resolving a longstanding open problem.

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经过严格验证的化学动力学混沌。

本研究解决了一个有关动力学微分方程混沌行为数学证明的长期问题。根据过去 50 年来的大量数值和实验结果，我们引入了两个形式化学反应，严格证明了这一行为。我们的方法包括将混沌方程转化为动力学微分方程，然后通过形式化学反应实现它们。这些发现为化学动力学中的混沌动力学提供了一个新的视角，从而解决了一个长期悬而未决的问题。

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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来源期刊

Chaos 物理-物理：数学物理

CiteScore

5.20

自引率

13.80%

发文量

448

审稿时长

2.3 months

期刊介绍： Chaos: An Interdisciplinary Journal of Nonlinear Science is a peer-reviewed journal devoted to increasing the understanding of nonlinear phenomena and describing the manifestations in a manner comprehensible to researchers from a broad spectrum of disciplines.

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