Low-order models of wave interactions in the transition to baroclinic chaos

Nonlinear Processes in Geophysics

Volumn 3, Issue 3, 1996, Pages 150-165

  Fruh W G ^a  

^a UNIVERSITY OF OXFORD   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0006690344     PISSN: 10235809     EISSN: None     Source Type: Journal    
DOI: 10.5194/npg-3-150-1996     Document Type: Article

References (24)

1. Bretherton, F. P., Resonant interactions between waves. The case of discrete oscillations, J. Fluid Mech., 20, 457-479, 1964.
2. Früh, W.-G. and Read, P. L., Wave interactions and the transition to chaos of baroclinic wves in a thermally driven rotating annulus, accepted by Phil. Trans. Roy. Soc. Lond. A, 1996.
3. Golubitsky, M. and Langford, W. F., Classification and unfoldings of degenerate Hopf bifurcations, J. Diff. Eg., 4, 375-415, 1981.
4. Grassberger, P. and Procaccia, I., Characterization of strange attractors, Phys. Rev. Lett., 50, 346-349, 1983.
5. Grebogi, C., Ott, E., and Yorke, J: A., Chaotic attractors in crisis, Phys. Rev. Lett., 48, 1507-1510, 1982.
6. Hart, J. E., A laboratory study of baroclinic instability, Geophys. Fluid Dyn., 3, 181-209, 1972.
7. Hart, J. E., Wavenumber selection in nonlinear baroclinic instability, J. Atmos. Sci., 38, 400-408, 1981.
8. Hide, R. and Mason, P. J., Sloping convection in a rotating fluid, Advances in Physics, 24, 47-99, 1975.
9. Hide, R. and Mason, P. J., On the transition between axisymmetric and non-axisymmetric flow in a rotating liquid annulus subject to a horizontal temperature gradient, Geophys. Astrophys. Fluid Dyn., 10, 121-156, 1978.
10. Hide, R., Mason, P. J., and Plumb, R. A., Thermal convection in a rotating fluid subject to a horizontal temperature gradient: spatial and temporal characteristics of fully developed baroclinic waves, J. Atmos. Sci., 34, 930-950, 1977.
11. James, I. N., Jonas, P. R., and Farnell, L., A combined laboratory and numerical study of fully developed steady baroclinic waves in a cylindrical annulus, Qr. J. Roy. Met. Soc., 107, 51-78, 1981.
12. Klein, P., Transitions to chaos in unstable baroclinic systems: a review, Fluid Dyn. Res., 5, 235-254, 1990.
13. Lewis, S., R., Long-lived eddies in the atmosphere of Jupiter, DPhil-thesis, University of Oxford, 1988.
14. Lewis, S., R., A quasi-geostrophic numerical model of a rotating internally heated fluid, Geophys. Astrophys. Fluid Dyn., 65, 31-55, 1992.
15. Lovegrove, A. P., Bifurcation analysis of a two-layer model, DPhil-thesis, University of Oxford, in preparation.
16. Mundt, M. D., Brummell, N. H., and Hart, J. E., Linear and nonlinear baroclinic instability with rigid sidewalls, J. Fluid Mech., 291, 109-138, 1995.
17. Ohlsen, D. R. and Hart, J. E., Transitions to baroclinic chaos on the β-plane, J. Fluid Mech., 203, 23-50, 1989a.
18. Orszag, S., A., Transform method for calculation of vector-coupled sums: Application to the spectral form of the vorticity equation, J. Atmos. Sci., 27, 890-895, 1970.
19. Pedlosky, J., Geophysical Fluid Dynamics, Springer-Verlag, Berlin, Heidelberg, New York, 2nd edn., 1987.
20. Phillips, N. A., Energy transformations and meridional circulations associated with simple baroclinic waves in a two-level quasi-geostrophic model, Tellus, 6, 273-286, 1954.
21. Plumb, R. A., The stability of small amplitude Rossby waves in a channel, J. Fluid Mech., 80, 705-720, 1977.
22. Press, W., H., Flannery, B., P., Teukolsky, S., A., and Vetterling, W., T., Numerical Recipes, Cambridge University Press, Cambridge, New York, 2nd edn., 1993.
23. Read, P. L., Bell, M. J., Johnson, D. W., and Small, R. M., Quasiperiodic and chaotic flow regimes in a thermally-driven, rotating fluid annulus, J. Fluid Mech., 238, 599-632, 1992.
24. Schuster, H. G., Deterministic Chaos, VCH Verlagsgesellschaft, Weinheim, 3rd edn., 1995.