Dynamics of the Budyko Energy Balance Model

2011/05/25 by Esther Widiasih, Widiasih, Esther R. · 2 citations
Earth and Planetary Sciences · #Arctic and Antarctic ice dynamics #Climate change and permafrost #Cryospheric studies and observations #Dynamical Systems (math.DS) #FOS: Mathematics

paper · pdf · doi:10.48550/arxiv.1105.4918

openalex publication_date 2011/05/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

A dynamical system derived from a conceptual climate model is investigated. The model is often referred to as Budyko-Sellers type Energy Balance Model (EBM), or in short, the Budyko model. The focus of this study is on the mathematical formulation that further develops the model by capturing the ice line dynamics, and thereby places the Budyko model in dynamical systems framework. The classical Budyko EBM is represented here as an integro-difference equation, then coupled with an ice line equation. The resulting infinite dimensional system is shown to possess an attracting one dimensional invariant manifold. The novel formulation captures solutions that others have previously obtained while also making the formulation and the analysis of the model more precise.

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