Comparison Analysis of Lorenz Model and Five Components Model

Journal of the Physical Society of Japan

Volumn 66, Issue 9, 1997, Pages 2689-2701

  Aoyagi, Takashi ^a   Yagi, Masatoshi ^b   Itoh, Sanae I ^b  

^a KYUSHU UNIVERSITY   (Japan)

^b KYUSHU UNIVERSITY   (Japan)

Author keywords

Chaos; H mode; Intermittency; Lorenz model; Scrape of layer; Shear flow

Indexed keywords

EID: 0031521753     PISSN: 00319015     EISSN: None     Source Type: Journal    
DOI: 10.1143/JPSJ.66.2689     Document Type: Review

References (26)

1. E. N. Lorenz: J. Atmos. Sci. 20 (1963) 130.
2. S. Nishikawa and H. Yahata: J. Phys. Soc. Jpn. 65 (1995) 935.
3. D. Ruelle and F. Takens: Commun. Math. Phys. 20 (1971) 167.
4. J. Froyland and K. H. Alfsen: Phys. Rev. A 29 (1984) 2928.
5. T. Nagashima and I. Shimada: Prog. Theor. Phys. 58 (1977) 1318.
6. A. Wolf, J. B. Swift, H. L. Swinney and J. A. Vastano: Physica 16D (1985) 285.
7. H. Sugama, W. Horton: Plasma Phys. Control. Fusion 37 (1995) 345.
8. O. Pogutse, W. Kerner, V. Gribkov, S. Bazdenkovn and M. Osipenko: Plasma Phys. Control. Fusion 36 (1994) 1963.
9. S. V. Bazdenkov and O. P. Pogutse: JETP Lett. 57 (1993) 410.
10. A. Takayama: Master Thesis, Kyoto University, 1995.
11. W. Horton, G. Hu and G. Laval: Phys. Plasmas 3 (1996) 2912.
12. N. N. Kukharkin, M. V. Osipenko, O. P. Pogutse and V. M. Gribkov: Proc. 14th IAEA Conference on Plasma Physics and Controlled Nuclear Fusion Research 2 (1992) 293.
13. A. Takayama, M. Wakatani and H. Sugama: J. Phys. Soc. Jpn. 64 (1995) 791.
14. H. Sugama and M. Wakatani: J. Phys. Soc. Jpn. 59 (1990) 3937.
15. K. A. Robbins: J. Appl. Math. 36 (1979) 457.
16. C. Sparrow: Bifurcations in the Lorenz Equation, Lecture Notes in Applied Mathematics (Springer-Verlag, Berlin, 1982).
17. E. A. Jackson: Perspective of Nonlinear Dynamics II (Cambridge University Press, Cambridge, 1991).
18. M. Dubois, M. A. Rubio and P. Berge: Phys. Rev. Lett. 51 (1983) 1446.
19. G. Mayer-Kress and H. Haken: Physica 10D (1984) 329.
20. N. Morioka and T. Shimizu: Phys. Lett. 66A (1978) 447.
21. H. Dido: Prog. Theor. Phys. 70 (1983) 879.
22. P. Manneville and Y. Pomeau: Physica 1D 219 (1980) 219.
23. P. Berge, Y. Pomeau and C. Vidal: Order within Chaos (John Wiley & Sons, Chichester, 1984).
24. Y. Pomeau and P. Manneville: Commun. Math. Phys. 74 (1980) 189.
25. L. N. Howard and R. Krishnamurti: J. Fluid Mech. 170 (1986) 385.
26. J. L. Thiffeault and W. Horton: Phys. Fluid 8 (1996) 1715.