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

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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: Gómez, D., Sicardi Schifino, A., Ferro Fontán, C.
Formato: Artículo publishedVersion
Publicado: 1990
Materias:
Hydromagnetics
Sun: chromosphere
Sun: corona
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_0004637X_v352_n1_p326_Gomez
http://repositoriouba.sisbi.uba.ar/gsdl/cgi-bin/library.cgi?a=d&c=artiaex&d=paper_0004637X_v352_n1_p326_Gomez_oai
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Repositorio Digital de la Universidad de Buenos Aires (UBA) de Universidad de Buenos Aires
id I28-R145-paper_0004637X_v352_n1_p326_Gomez_oai
record_format dspace
spelling I28-R145-paper_0004637X_v352_n1_p326_Gomez_oai2020-10-19 Gómez, D. Sicardi Schifino, A. Ferro Fontán, C. 1990 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. application/pdf http://hdl.handle.net/20.500.12110/paper_0004637X_v352_n1_p326_Gomez info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar Astrophys. J. 1990;352(1):326-332 Hydromagnetics Sun: chromosphere Sun: corona Hopf bifurcations in coronal loops. II. Nonlinear evolution of instabilities info:eu-repo/semantics/article info:ar-repo/semantics/artículo info:eu-repo/semantics/publishedVersion http://repositoriouba.sisbi.uba.ar/gsdl/cgi-bin/library.cgi?a=d&c=artiaex&d=paper_0004637X_v352_n1_p326_Gomez_oai
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-145
collection Repositorio Digital de la Universidad de Buenos Aires (UBA)
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
http://repositoriouba.sisbi.uba.ar/gsdl/cgi-bin/library.cgi?a=d&c=artiaex&d=paper_0004637X_v352_n1_p326_Gomez_oai
work_keys_str_mv AT gomezd hopfbifurcationsincoronalloopsiinonlinearevolutionofinstabilities
AT sicardischifinoa hopfbifurcationsincoronalloopsiinonlinearevolutionofinstabilities
AT ferrofontanc hopfbifurcationsincoronalloopsiinonlinearevolutionofinstabilities
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