Periodic Solutions and Bifurcations in a Long-Timescale Oceanic Carbon Cycle Model

Authors

  • Ibrahim Alraddadi Islamic University of Madinah

DOI:

https://doi.org/10.29020/nybg.ejpam.v17i4.5458

Keywords:

Mathematical Modeling, Dynamical system, Bifurcation, Nonlinear dynamical system

Abstract

We study the dynamics of a recent model of Rothman for long timescale carbon cycle. We reproduce and extend various
results of the Rothman model. We present numerical results showing that the model exhibits both stable and unstable limit
cycles via Hopf bifurcations as the parameters are varied. We numerically find normal forms of Bautin bifurcations to confirm
their criticality. We also extend the analysis of the normal form coefficients to identify where the fold limit cycle bifurcation
occurs.

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Published

2024-10-31

Issue

Section

Nonlinear Analysis

How to Cite

Periodic Solutions and Bifurcations in a Long-Timescale Oceanic Carbon Cycle Model. (2024). European Journal of Pure and Applied Mathematics, 17(4), 3708-3729. https://doi.org/10.29020/nybg.ejpam.v17i4.5458