Geometric analysis of a nonlinear climate system

https://doi.org/10.58571/CNCA.AMCA.2025.002

Resumen: This paper uses a control theory perspective to analyze a simplified mathematical model of the effect of human carbon emissions on global temperature. Based on a previously published model, human emissions are incorporated as an exogenous input into the system. A singular perturbation argument is used to derive areduced order model. Finally, a bifurcation analysis is used to analyze its tipping points by studying the effect of applying feedback control when emissions are regulated to be proportional to the deviation from the desired temperature.

¿Cómo citar?

Padilla Chávez, J., Castaños Luna, F. & Tulio Angulo, M. (2025). Geometric analysis of a nonlinear climate system. Memorias del Congreso Nacional de Control Automático 2025, pp. 7-12. https://doi.org/10.58571/CNCA.AMCA.2025.002

Palabras clave

climatic systems, carbon emissions, bifurcation, invariant manifold, singular perturbations.

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