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...
Guardado en:
Autores principales: | , , |
---|---|
Formato: | Artículo publishedVersion |
Lenguaje: | Inglés |
Publicado: |
1990
|
Materias: | |
Acceso en línea: | http://hdl.handle.net/20.500.12110/paper_0004637X_v352_n1_p326_Gomez |
Aporte de: |
id |
paperaa:paper_0004637X_v352_n1_p326_Gomez |
---|---|
record_format |
dspace |
spelling |
paperaa:paper_0004637X_v352_n1_p326_Gomez2023-06-12T16:40:57Z Hopf bifurcations in coronal loops. II. Nonlinear evolution of instabilities Astrophys. J. 1990;352(1):326-332 Gómez, D. Sicardi Schifino, A. Ferro Fontán, C. 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 info:eu-repo/semantics/article info:ar-repo/semantics/artículo info:eu-repo/semantics/publishedVersion application/pdf eng info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar 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) |
language |
Inglés |
orig_language_str_mv |
eng |
topic |
Hydromagnetics Sun: chromosphere Sun: corona |
spellingShingle |
Hydromagnetics Sun: chromosphere Sun: corona Gómez, D. Sicardi Schifino, A. Ferro Fontán, C. 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. |
format |
Artículo Artículo publishedVersion |
author |
Gómez, D. Sicardi Schifino, A. Ferro Fontán, C. |
author_facet |
Gómez, D. Sicardi Schifino, A. Ferro Fontán, C. |
author_sort |
Gómez, D. |
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 |
http://hdl.handle.net/20.500.12110/paper_0004637X_v352_n1_p326_Gomez |
work_keys_str_mv |
AT gomezd hopfbifurcationsincoronalloopsiinonlinearevolutionofinstabilities AT sicardischifinoa hopfbifurcationsincoronalloopsiinonlinearevolutionofinstabilities AT ferrofontanc hopfbifurcationsincoronalloopsiinonlinearevolutionofinstabilities |
_version_ |
1769810067188613120 |