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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2402.18523 |
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| _version_ | 1866910350108000256 |
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| author | Susits, M. Tóth, J. |
| author_facet | Susits, M. Tóth, J. |
| contents | 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 subsequently realizing these equations through formal chemical reactions. The findings present a novel perspective on chaotic dynamics within chemical kinetics, thereby resolving a longstanding open problem. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_18523 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Rigorously proven chaos in chemical kinetics Susits, M. Tóth, J. Statistical Mechanics Dynamical Systems Chaotic Dynamics 34H10, 34Cxx 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 subsequently realizing these equations through formal chemical reactions. The findings present a novel perspective on chaotic dynamics within chemical kinetics, thereby resolving a longstanding open problem. |
| title | Rigorously proven chaos in chemical kinetics |
| topic | Statistical Mechanics Dynamical Systems Chaotic Dynamics 34H10, 34Cxx |
| url | https://arxiv.org/abs/2402.18523 |