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- W2040891657 abstract "view Abstract Citations (3) References (23) Co-Reads Similar Papers Volume Content Graphics Metrics Export Citation NASA/ADS Hopf Bifurcations in Coronal Loops. II. Nonlinear Evolution of Instabilities Gomez, D. ; Schifino, A. Sicardi ; Fontan, C. Ferro Abstract In a previous paper, we have modeled the coupling between corona and chromosphere and derived a nonlinear set of equations, where the global stability properties of the coronal plasma can be studied. The linear stability analysis indicates that the static equilibrium is stable unless the heating rate falls below a certain critical value. In the present paper, we study the nonlinear evolution of our equations both analytically and numerically. Applying a perturbative technique around the critical point, we find that a subcritical Hopf bifurcation takes place. The numerical integration of the equations agrees satisfactorily with the analytical results when they are compared close to the bifurcation. The nonthermal Doppler widths of EUV lines forming in the transition region can be explained by the existence of relatively low amplitude limit cycles. Publication: The Astrophysical Journal Pub Date: March 1990 DOI: 10.1086/168539 Bibcode: 1990ApJ...352..326G Keywords: HYDROMAGNETICS; SUN: CHROMOSPHERE; SUN: CORONA full text sources ADS | Related Materials (1) Part 1: 1990ApJ...352..318G" @default.
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- W2040891657 date "1990-03-01" @default.
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- W2040891657 title "Hopf Bifurcations in Coronal Loops. II. Nonlinear Evolution of Instabilities" @default.
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