Stability and bifurcation of planetary dynamo models

Journal of Fluid Mechanics

Volumn 688, Issue , 2011, Pages 1-4

  Dormy, E ^a  

^a ECOLE NORMALE SUPÉRIEURE   (France)

Author keywords

[No Author keywords available]

Indexed keywords

NUMERICAL METHODS;

ANALYTICAL METHOD; DYNAMO ACTION; ORIGIN OF THE EARTH; PARAMETER REGIMES; PLANETARY DYNAMOS; STABILITY AND BIFURCATION;

INTERACTIVE DEVICES;

BIFURCATION; GEODYNAMO; MAGNETIC FIELD; NUMERICAL MODEL;

EID: 84855473285     PISSN: 00221120     EISSN: 14697645     Source Type: Journal    
DOI: 10.1017/jfm.2011.356     Document Type: Article

References (15)

1. BUSSE, F. H. 1970 Thermal instabilities in rapidly rotating systems. J. Fluid Mech. 44, 441-460.
2. CHRISTENSEN, U., OLSON, P. & GLATZMAIER, G. A. 1999 Numerical modelling of the geodynamo: a systematic parameter study. Geophys. J. Intl 138, 393-409. (Pubitemid 29511538)
3. DORMY, E., SOWARD, A. M., JONES, C. A., JAULT, D. & CARDIN, P. 2004 The onset of thermal convection in rotating spherical shells. J. Fluid Mech. 501, 43-70. (Pubitemid 38431408)
4. JONES, C. A., SOWARD, A. M. & MUSSA, A. I. 2000 The onset of thermal convection in a rapidly rotating sphere. J. Fluid Mech. 405, 157-179.
5. KUANG, W., JIANG, W. & WANG, T. 2008 Sudden termination of Martian dynamo: implications from subcritical dynamo simulations. Geophys. Res. Lett. 35, L14204.
6. KUTZNER, C. & CHRISTENSEN, U. 2002 From stable dipolar towards reversing numerical dynamos. Phys. Earth Planet. Inter. 131, 29-45.
7. MORIN, V. 2005 Instabilit́es et bifurcations assocíees ̀a la mod́elisation de la Ǵeodynamo. PhD thesis, Universit́e Paris VII http://tel.archives-ouvertes.fr/tel-00011484/en/.
8. MORIN, V. & DORMY, E. 2009 The dynamo bifurcation in rotating spherical shells. Intl J. Mod. Phys. B 23 (28-29), 5467-5482.
9. ROBERTS, P. H. 1965 On the thermal instability of a highly rotating fluid sphere. Astrophys. J. 141 (1), 240-250.
10. ROBERTS, P. H. 1968 On the thermal instability of a rotating-fluid sphere containing heat sources. Phil. Trans. R. Soc. Lond. A 263, 93-117.
11. ROBERTS, P. H. 1988 Future of geodynamo theory. Geophys. Astrophys. Fluid Dyn. 44, 3-31.
12. SIMITEV, R. D. & BUSSE, F. H. 2009 Bistability and hysteresis of dipolar dynamos generated by turbulent convection in rotating spherical shells. Earth Planet. Sci. Lett. 85, 19001.
13. SOWARD, A. M. & JONES, C. A. 1983 2-Dynamos and Taylor's constraint. Geophys. Astrophys. Fluid Dyn. 27, 87-122.
14. SREENIVASAN, B. & JONES, C. A. 2011 Helicity generation and subcritical behaviour in rapidly rotating dynamos. J. Fluid Mech. 688, 5-30.
15. YANO, J.-I. 1992 Asymptotic theory of thermal convection in rapidly rotating systems. J. Fluid Mech. 243, 103-131.