On the Jacobi stability of systems of ODEs for chemical oscillators using Kosambi–Cartan–Chern (KCC) theory

In this article, the Kosambi-Cartan-Chern (KCC) theory, which uses geometric invariants to characterize the time evolution of systems of ordinary differential equations, is employed for systems of ordinary differential equations describing chemical oscillations. This study demonstrates the utility of the KCC theory in providing a geometric framework for stability analysis, highlighting its ability to complement traditional Lyapunov stability assessments.

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Publication Details

Journal
The Journal of Chemical Physics
Published
2026-01-05
DOI
https://doi.org/10.1063/5.0292228
Primary Topic
Advanced Differential Geometry Research
Type
article
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article

On the Jacobi stability of systems of ODEs for chemical oscillators using Kosambi–Cartan–Chern (KCC) theory

P. Guha, Shreya Mitra, Sudip Garai, A. Ghose-Choudhury
The Journal of Chemical Physics
Advanced Differential Geometry Research
article

On the Jacobi stability of systems of ODEs for chemical oscillators using Kosambi–Cartan–Chern (KCC) theory

P. Guha, Shreya Mitra, Sudip Garai, A. Ghose-Choudhury
article en

Abstract

In this article, the Kosambi-Cartan-Chern (KCC) theory, which uses geometric invariants to characterize the time evolution of systems of ordinary differential equations, is employed for systems of ordinary differential equations describing chemical oscillations. This study demonstrates the utility of the KCC theory in providing a geometric framework for stability analysis, highlighting its ability to complement traditional Lyapunov stability assessments.

The Journal of Chemical PhysicsVol. 164(1)
Khalifa University of Science and Technology (AE), Diamond Harbour Women's University (IN)
Openalex Percentile: Top 94%
Advanced Differential Geometry Research
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