Rigorously proven chaos in chemical kinetics

M Susits; J Tóth

doi:10.1063/5.0206749

Rigorously proven chaos in chemical kinetics

Chaos. 2024 Oct 1;34(10):103130. doi: 10.1063/5.0206749.

Authors

M Susits¹, J Tóth^{1

2}

Affiliations

¹ Department of Analysis and Operations Research, Institute of Mathematics, Budapest University of Technology and Economics, Műegyetem rkp. 3., H-1111 Budapest, Hungary.
² Chemical Kinetics Laboratory, Institute of Chemistry, Eötvös Loránd University, Pázmány Péter sétány 1/A, H-1117 Budapest, Hungary.

PMID: 39413261
DOI: 10.1063/5.0206749

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.