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Global phase portraits of Stommel model with boundary equilibria | Synapse

April 10, 2026Open Access

Global phase portraits of Stommel model with boundary equilibria

Key Points

This research aims to explore the dynamics of the Stommel model and its equilibria.
Analyzed global dynamics of the Stommel model
Studied qualitative properties of equilibria
Proved nonexistence of limit cycles and closed orbits
Generated bifurcation diagram and phase portraits
Identified boundary equilibria in the Stommel model
Confirmed the absence of limit cycles
Developed a comprehensive bifurcation diagram
Created global phase portraits showcasing model dynamics

Abstract

In this paper, we consider the global dynamics of Stommel model with boundary equilibria. We study the qualitative properties of equilibria of Stommel model and prove the nonexistence of limit cycles and singular closed orbits. Moreover, we obtain the bifurcation diagram and global phase portraits of Stommel model.

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Authors

N

Ning Xiao

Guizhou University

K

Kuilin Wu

University of Electronic Science and Technology of China

Journals

Advances in Continuous and Discrete Models

Actions

Institutions

Guizhou University

References and Citations

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Cite this study

Xiao et al. (Tue,) studied this question.

synapsesocial.com/papers/69d893896c1944d70ce04840 — DOI: https://doi.org/10.1186/s13662-026-04091-2