On self-exciting coupled Faraday disk homopolar dynamos driving series motors

Physica D: Nonlinear Phenomena

Volumn 117, Issue 1-4, 1998, Pages 128-144

  Moroz, Irene M ^a   Hide, Raymond ^a   Soward, Andrew M ^b  

^a UNIVERSITY OF OXFORD   (United Kingdom)

^b UNIVERSITY OF EXETER   (United Kingdom)

Author keywords

Bifurcation theory; Dynamo theory; Synchronised chaos

Indexed keywords

EID: 0000608244     PISSN: 01672789     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0167-2789(97)00305-9     Document Type: Article

References (16)

1. A.E. Cook, Two disk dynamos with viscous friction and time delay, Proc. Camb. Phil. Soc. 71 (1972) 135-153.
2. J. Dubois, La Dynamique Non-linéaire en Physique du Globe, Masson, 1995.
3. S.V. Ershov, G.G. Malinetskii, A.A. Ruzmaikin, A generalised two-disk dynamo model, Geophys. Astrophys. Fluid Dyn. 47 (1989) 251-277.
4. J. Guckenheimer, P. Holmes, Nonlinear Oscillations, Dynamical Systems and Bifurcations of Vector Fields, Springer, Berlin, 1986.
5. R. Hide, Structural instability of the Rikitake disk dynamo, Geophys. Res. Lett. 22 (1995) 1057-1059.
6. R. Hide, The nonlinear differential equations governing a hierarchy of self-exciting coupled Faraday-disk homopolar dynamos, Physics of the Earth and Planetary Interiors 103 (1997) 281-291.
7. R. Hide, A.C. Skeldon, D.J. Acheson, A study of two novel self-exciting single-disk homopolar dynamos: theory, Proc. R. Soc. London A 452 (1996) 1369-1395.
8. R. Hollerbach, On the theory of the geodynamo, Phys. Earth Planetary Int. 98 (1996) 163-185.
9. J.A. Jacobs, Reversals of the Earth's Magnetic Field, Cambridge University Press, Cambridge, 1994.
10. C.A. Jones, N.O. Weiss, F. Cattaneo, Nonlinear dynamos: a complex generalisation of the Lorenz equations, Physica D 14 (1985) 161-176.
11. H.K. Moffatt, Magnetic Field Generation in Electrically Conducting fluids, Cambridge University Press, Cambridge, 1978.
12. I.M. Moroz, R. Hide, L.A. Smith, Synchronised chaos in coupled double-disk homopolar dynamo models, (1998), submitted to Int J. Bifurcation Chaos.
13. T. Rikitake, Oscillations of a system of disk dynamos, Proc. Camb. Phil. Soc. 54 (1958) 89-105.
14. A.C. Skeldon, I.M. Moroz, On a codimension three bifurcation arising in dynamo theory, Physica D 117 (1998) 117-127.
15. S.M. Tobias, N.O. Weiss, V. Kirk, Chaotically modulated stellar dynamos, MNRAS 273 (1995) 1150-1166.
16. N.O. Weiss, F. Cattaneo, C.A. Jones, Periodic and aperiodic dynamo waves, Geophys. Astrophys. Fluid Dyn. 30 (1984) 305-341.