Temporal variability of the wind-driven quasi-geostrophic double gyre ocean circulation: Basic bifurcation diagrams

Geophysical and Astrophysical Fluid Dynamics

Volumn 85, Issue 3-4, 1997, Pages 195-232

  Dijkstra, Henk A ^a   Katsman, Caroline A ^a  

^a UTRECHT UNIVERSITY   (Netherlands)

Author keywords

Stability; Wind driven circulation

Indexed keywords

BIFURCATION; CIRCULATION MODELLING; DOUBLE-GYRE; TEMPORAL VARIABILITY; WIND-DRIVEN CIRCULATION;

EID: 0031428871     PISSN: 03091929     EISSN: None     Source Type: Journal    
DOI: 10.1080/03091929708208989     Document Type: Article

References (29)

1. Buffoni, G. and Griffa, A., "The finite difference barotropic vorticity equation in ocean circulation modelling: basic properties of the solutions," Dyn. Atm. Oceans 15, 1-32 (1990).
2. Cessi, P. and Ierley, G., "Symmetry breaking multiple equilibria in quasi-geostrophic, wind driven flows," J. Phys. Oceanog. 25, 1196-1205 (1995).
3. Cox, M. D., "An eddy-resolving model of the ventilated thermocline: time dependence," J. Phys. Oceanog. 17, 1044 -1056 (1987).
4. Dijkstra, H. A. and Neelin, J. D., "On the attractors of an intermediate ocean-atmosphere model," Dyn. Atm. Oceans 22, 19-48 (1995).
5. Dijkstra, H. A. and de Ruijter, W.P.M., "Finite amplitude stability of the wind-driven ocean circulation," Geoph. Astroph. Fluid Dynam. 83, 1-31 (1996).
6. Dijkstra, H. A., Molemaker, M. J., Van der Ploeg, A. and Botta, E. F. F., "An efficient code to compute nonparallel flows and their linear stability," Comp. Fluids 24, 415-434 (1995).
7. Fofonoff, N. P., "Steady flow in a frictionless homogeneous ocean," J. Mar. Res. 13, 254-262 (1954).
8. Frankignoul, C. and Hasselman, K., "Stochastic climate models, part II: Application to sea-surface temperature anomalies and thermocline variability," Tellus 29, 289-305 (1979).
9. Ghil, M. and Childress, S., Topics in Geophysical Fluid Dynamics: Atmospheric Dynamics, Dynamo Theory and Climate Dynamics, Springer Verlag, New York (1988).
10. Golubitsky, M. and Schaeffer, D. G., Singularities and Groups in Bifurcation Theory, part I Springer Verlag, New York (1985).
11. Guckenheimer, J. and Holmes, P., Nonlinear Oscillations, Dynamical systems and Bifurcations of vector fields, Springer Verlag, Berlin, New York (1983).
12. Holland, W. R., "The role of mesoscale eddies in the general circulation of the ocean - Numerical experiments using a wind-driven quasi-geostrophic model," J. Phys. Oceanog. 8, 363-392 (1978).
13. Holland, W. R. and Lin, L. B., "On the generation of mesoscale eddies and their contribution to the oceanic general circulation I. A preliminary numerical experiment," J. Phys. Oceanog. 5, 642-657 (1975a).
14. Holland, W. R. and Lin, L. B., "On the generation of mesoscale eddies and their contribution to the oceanic general circulation. II. A parameter study," J. Phys. Oceanog. 5, 658-669 (1975b).
15. Iooss, G. and Joseph, D. D., Elementary Stability and Bifurcation Theory, Springer Verlag, New York (1981).
16. Jiang, S., Jin, F. F. and Ghil, M., "Multiple equilibria and aperiodic solutions in a wind-driven double gyre, shallow water model," J. Phys. Oceanog. 25, 764-786 (1995).
17. Legras, B. and Ghil, M., "Persistent anomalies, blocking and variations in atmospheric predictability," J. Atm. Sciences 42, 433-471 (1985).
18. LeProvost, C. and Verron, J., "Wind-driven ocean circulation transition to barotropic instability," Dyn. Atm. Oceans 11, 175-201 (1987).
19. Miller, A. J., Holland, W. R. and Hendershott, M. C., "Open-ocean response and normal mode excitation in an eddy-resolving general circulation model," Geophys. Astrophys. Fluid Dynam. 37, 253-278 (1987).
20. Moro, B., "On the inertial motion of a homogeneous ocean," Dyn. Atm. Oceans 11, 1-17 (1987).
21. Moro, B., "On the non-linear Munk model, I: Steady flows," Dyn. Atm. Oceans 12, 259-287 (1988).
22. Moro, B., "On the non-linear Munk model, II: Stability," Dyn. Atm. Oceans 14, 203-227 (1990).
23. Munk, W. H., "On the wind-driven ocean circulation," J. Meteorology 7, 79-93 (1950).
24. Pedlosky, J., Geophysical Fluid Dynamics, Springer Verlag Berlin, New York (1987).
25. Robinson, A. R. and McWilliams, J. C., "Baroclinic instability of the open ocean," J. Phys. Oceanog. 4, 281-294 (1974).
26. Speich, S., Dijkstra, H. A. and Ghil, M., "Successive bifurcations of a shallow-water model with applications to the wind driven circulation," Nonlinear Processes in Geophysics 2, 241-268 (1995).
27. Stommel, H., "The westward intensification of wind-driven current," Trans. Am. Geophys. Union 29, 202-206 (1948).
28. Veronis, G., "Wind-driven occean circulation - Part II: Numerical solution of the nonlinear problem," Deep-Sea Res. 13, 31-55 (1966).
29. Wolansky, G., "The barotropic vorticity equation under forcing and dissipation: bifurcations of nonsymmetric responses and multiplicity of solutions," SIAM J. Applied Math. 49, 1585-1607 (1989).