Periodic Solutions and Bifurcations in a Long-Timescale Oceanic Carbon Cycle Model
DOI:
https://doi.org/10.29020/nybg.ejpam.v17i4.5458Keywords:
Mathematical Modeling, Dynamical system, Bifurcation, Nonlinear dynamical systemAbstract
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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Copyright (c) 2024 Ibrahim Alraddadi
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