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Hopf Bifurcations in Coronal Loops. II. Nonlinear Evolution of Instabilities
1990
Astrophysical Journal
We study the coupling between the hot plasma confined in a coronal loop and the much colder chromospheric plasma at the footpoints. Considering the coronal heating rate as a control parameter, we find that the static equilibrium becomes unstable for heating rates below a critical value, giving rise to the appearance of a stable limit cycle. Starting from the hydrodynamic equations, we derive a model which generalizes the analysis of Kuin and Martens and consistently takes into account the
doi:10.1086/168539
fatcat:pm3qrhbm5becfgjviwnxehteiq