Hopf bifurcations in coronal loops. II. Nonlinear evolution of instabilities

In a previous paper, we have modeled the coupling between corona and chromosphere and derived a non-linear 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 ra...

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Autores principales: Gomez, Daniel Osvaldo, Sicardi Schifino, Aníbal Carlos, Ferro Fontán, Constantino
Publicado: 1990
Materias:
Hydromagnetics
Sun: chromosphere
Sun: corona
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_0004637X_v352_n1_p326_Gomez
http://hdl.handle.net/20.500.12110/paper_0004637X_v352_n1_p326_Gomez
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id paper:paper_0004637X_v352_n1_p326_Gomez
record_format dspace
spelling paper:paper_0004637X_v352_n1_p326_Gomez2023-06-08T14:28:30Z Hopf bifurcations in coronal loops. II. Nonlinear evolution of instabilities Gomez, Daniel Osvaldo Sicardi Schifino, Aníbal Carlos Ferro Fontán, Constantino Hydromagnetics Sun: chromosphere Sun: corona In a previous paper, we have modeled the coupling between corona and chromosphere and derived a non-linear 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. Fil:Gómez, D. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Sicardi Schifino, A. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Ferro Fontán, C. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. 1990 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_0004637X_v352_n1_p326_Gomez http://hdl.handle.net/20.500.12110/paper_0004637X_v352_n1_p326_Gomez
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic Hydromagnetics
Sun: chromosphere
Sun: corona
spellingShingle Hydromagnetics
Sun: chromosphere
Sun: corona
Gomez, Daniel Osvaldo
Sicardi Schifino, Aníbal Carlos
Ferro Fontán, Constantino
Hopf bifurcations in coronal loops. II. Nonlinear evolution of instabilities
topic_facet Hydromagnetics
Sun: chromosphere
Sun: corona
description In a previous paper, we have modeled the coupling between corona and chromosphere and derived a non-linear 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.
author Gomez, Daniel Osvaldo
Sicardi Schifino, Aníbal Carlos
Ferro Fontán, Constantino
author_facet Gomez, Daniel Osvaldo
Sicardi Schifino, Aníbal Carlos
Ferro Fontán, Constantino
author_sort Gomez, Daniel Osvaldo
title Hopf bifurcations in coronal loops. II. Nonlinear evolution of instabilities
title_short Hopf bifurcations in coronal loops. II. Nonlinear evolution of instabilities
title_full Hopf bifurcations in coronal loops. II. Nonlinear evolution of instabilities
title_fullStr Hopf bifurcations in coronal loops. II. Nonlinear evolution of instabilities
title_full_unstemmed Hopf bifurcations in coronal loops. II. Nonlinear evolution of instabilities
title_sort hopf bifurcations in coronal loops. ii. nonlinear evolution of instabilities
publishDate 1990
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_0004637X_v352_n1_p326_Gomez
http://hdl.handle.net/20.500.12110/paper_0004637X_v352_n1_p326_Gomez
work_keys_str_mv AT gomezdanielosvaldo hopfbifurcationsincoronalloopsiinonlinearevolutionofinstabilities
AT sicardischifinoanibalcarlos hopfbifurcationsincoronalloopsiinonlinearevolutionofinstabilities
AT ferrofontanconstantino hopfbifurcationsincoronalloopsiinonlinearevolutionofinstabilities
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