Multiple forms of intermittency in partial differential equation dynamo models

Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

Volumn 60, Issue 5, 1999, Pages 5435-5438

  Covas, Eurico ^a   Tavakol, Reza ^a  

^a QUEEN MARY UNIVERSITY OF LONDON   (United Kingdom)

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EID: 4243861842     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.60.5435     Document Type: Article

References (49)

1. Y. Pomeau and P. Manneville, Commun. Math. Phys. 74, 189 (1980).
2. C. Grebogi, E. Ott, and J. A. Yorke, Phys. Rev. Lett. 48, 1507 (1982)
3. C. Grebogi, E. Ott, F. Romeiras, and J. A. Yorke, Phys. Rev. A 36, 5365 (1987).
4. N. Platt, E. Spiegel, and C. Tresser, Phys. Rev. Lett. 70, 279 (1993)
5. E. Spiegel, N. Platt, and C. Tresser, Geophys. Astrophys. Fluid Dyn. 73, 146 (1993).
6. Ch. Karakotsou and A. N. Anagnostopoulos, Physica D 93, 157 (1986)
7. W. L. Ditto , Phys. Rev. Lett. 63, 923 (1989).
8. M. N. Bussac and C. Meunier, J. Phys. (Paris) 43, 585 (1982)
9. R. Richter, A. Kittel, G. Heinz, G. Flätgen, J. Peinke, and J. Parisi, Phys. Rev. B 49, 8738 (1994).
10. B. So and H. Mori, Prog. Theor. Phys. 72, 1258 (1984)
11. B. SoH. MoriPhysica D 21, 125 (1986)
12. D. L. Feng, J. Zheng, W. Huang, C. X. Yu, and W. X. Ding, Phys. Rev. E 54, 2839 (1996).
13. J. A. Eddy, Science 192, 1189 (1976)
14. N. O. Weiss and S. M. Tobias, in Solar and Heliospheric Plasma Physics, edited by G. M. Simnett, C. E. Alissandrakis and L. Vlahos (Springer, Berlin, 1997).
15. J. Beer, S. M. Tobias, and N. O. Weiss, Sol. Phys. 181, 237 (1998).
16. M. Stuiver and T. F. Braziunas, Nature (London) 338, 405 (1989).
17. Baliunas , Astrophys. J. 438, 269 (1995).
18. R. Tavakol and E. Covas (unpublished);available at URL http://www.maths.qmw.ac.uk/(Formula presented)eoc.
19. R. Tavakol, Nature (London) 276, 802 (1978).
20. B. Ya. Zeldovich, A. A. Ruzmaikin, and D. D. Sokoloff, in Magnetic Fields in Astrophysics (Gordon and Breach, New York, 1983)
21. N. O. Weiss, F. Cattaneo, and C. A. Jones, Geophys. Astrophys. Fluid Dyn. 30, 305 (1984).
22. E. A. Spiegel, in Chaos in Astrophysics, edited by J. R. Butcher, J. Perdang, and E. A. Spiegel (Reidel, Dordrecht, 1985)
23. U. Feudel, W. Jansen, and J. Kurths, Int. J. Bifurcation Chaos Appl. Sci. Eng. 3, 131 (1993).
24. S. Schmalz and M. Stix, Astron. Astrophys. 245, 654 (1991).
25. D. Schmitt, M. Schüssler, and A. Ferriz-Mas, Astron. Astrophys. 311, L1 (1996).
26. A. Tworkowski, R. Tavakol, A. Brandenburg, J. M. Brooke, D. Moss, and I. Tuominen, Mon. Not. R. Astron. Soc. 296, 287 (1998).
27. S. M. Tobias, Astron. Astrophys. 307, L21 (1996).
28. J. M. Brooke, J. Pelt, R. Tavakol, and A. Tworkowski, Astron. Astrophys. 332, 339 (1998).
29. J. M. Brooke, Europhys. Lett. 37, 3 (1997).
30. E. Covas and R. Tavakol, Phys. Rev. E 55, 6641 (1997).
31. E. Covas, P. Ashwin, and R. Tavakol, Phys. Rev. E 56, 6451 (1997).
32. P. Ashwin, E. Covas, and R. Tavakol, Nonlinearity 9, 563 (1999).
33. E. Covas, R. Tavakol, P. Ashwin, A. Tworkowski, and J. M. Brooke (unpublished);available at URL http://www.maths.qmw.ac.uk/(Formula presented)eoc.
34. P. A. Gilman, Astrophys. J., Suppl. Ser. 53, 243 (1983).
35. Å. Nordlund, A. Brandenburg, R. L. Jennings, M. Rieutord, J. Ruokolainen, R. F. Stein, and I. Tuominen, Astrophys. J. 392, 647 (1992).
36. A. Brandenburg, R. L. Jennings, Å. Nordlund, M. Rieutord, R. F. Stein, and I. Tuominen, J. Fluid Mech. 306, 325 (1996).
37. F. Cattaneo, D. W. Hughes, and N. O. Weiss, Mon. Not. R. Astron. Soc. 253, 479 (1991).
38. D. Moss, D. M. Barker, A. Brandenburg, and I. Tuominen, Astron. Astrophys. 294, 155 (1995).
39. S. I. Vainshtein and F. Cattaneo, Astrophys. J. 393, 165 (1992)
40. F. Cattaneo and D. W. Hughes, Phys. Rev. E 54, 4532 (1996).
41. M. Steenbeck and F. Krause, Astron. Nachr. 291, 49 (1969)
42. P. H. Roberts and M. Stix, Astron. Astrophys. 18, 453 (1972).
43. A. Brandenburg, I. Tuominen, F. Krause, R. Meinel, and D. Moss, Astron. Astrophys. 213, 411 (1989)
44. A. Brandenburg, D. Moss, and I. Tuominen, Geophys. Astrophys. Fluid Dyn. 40, 129 (1989).
45. A. Brandenburg, in Helicity and Dynamos, edited by A. A. Pevtsov (American Geophysical Union, Washington, DC, 1999).
46. A. Brandenburg, in Theory of Black Hole Accretion Discs, edited by M. A. Abramowicz, G. Björnsson, and J. E. Pringle (Cambridge University Press, Cambridge, 1999).
47. F. Krause, and K.-H. Rädler, Mean-Field Magnetohydrodynamics and Dynamo Theory (Pergamon, Oxford, 1980).
48. E. Covas, R. Tavakol, A. Tworkowski, A. Brandenburg, J. M. Brooke, and D. Moss, Astron. Astrophys. 345, 669 (1999).
49. J. E. Hirsch, B. A. Huberman, and D. J. Scalapino, Phys. Rev. A 25, 519 (1982).