References
- Allen , T. 1991 . “The nonlinear dynamics of Langmuir circulations” , Ph.D. dissertation University of East Anglia .
- Arneodo , A. , Coullet , P. H. and Spiegel , E. A. 1985 . “The dynamics of triple convection” . Geophys. Astrophys. Fluid Dynam. , 31 : 1 – 48 .
- Cox , S. M. , Leibovich , S. , Moroz , I. M. and Tandon , A. 1992a . “Nonlinear dynamics in Langmuir circulations with O(2) symmetry” . J. Fluid Mech. , 241 : 669 – 704 .
- Cox , S. M. , Leibovich , S. , Moroz , I. M. and Tandon , A. 1992b . “Hopf bifurcations with O(2) symmetry in Langmuir circulations” , submitted to Physica D.
- Craik , A. D. D. 1977 . “The generation of Langmuir circulations by an instability mechanism” . J. Fluid Mech. , 81 : 209 – 223 .
- Craik , A. D. D. and Leibovich , S. 1976 . “A rational model for Langmuir circulations” . J. Fluid Mech. , 73 : 401 – 426 .
- Crawford , J. D. , Golubitsky , M. and Langford , W. F. 1988 . “Modulated rotating waves in O(2) mode interactions” . Dyn. Stab. Syst. , Vol. 3 ( No. 4 ) : 159 – 175 .
- Decker , D. W. and Keller , H. B. 1981 . “Path following near bifurcation” . Comm. Pure and Appl. Math. , 34 : 149 – 175 .
- Finlayson , B. A. 1972 . The method of weighted residuals and variational principles , Academic Press, Inc. .
- Golubitsky , M. and Langford , W. F. 1988 . “Pattern formation and bistability in flow between counterrotating cylinders” . Physica D , 32 : 363 – 392 .
- Golubitsky , M. , Stewart , I. and Schaeffer , D. G. 1988 . Singularities and groups in bifurcation theory , Vol. 2 , New York : Springer-Verlag . Appl. Math. Sci. 69
- Langmuir , I. 1938 . “Surface motion of water induced by wind” . Science , 37 : 119 – 123 .
- Leibovich , S. 1977 . “Convective instability of stably stratified water in the ocean” . J. Fluid Mech. , 82 : 561 – 581 .
- Leibovich , S. , Lele , S. K. and Moroz , I. M. 1989 . “Nonlinear dynamics in Langmuir circulations and in thermosolutal convection” . J. Fluid Mech. , 198 : 471 – 511 .
- Moroz , I. M. and Leibovich , S. 1985 . “Oscillatory and competing instabilities in a nonlinear model for Langmuir circulations” . Phys. Fluids , 28 : 2050 – 2060 .
- Pearlstein , A. J. and Lopez , A. R. 1990 . “Effect of rigid boundaries on the onset of convective instability in a triply diffusive layer” to be submitted
- Pearlstein , A. J. , Harris , R. M. and Terrones , G. 1989 . “The onset of instability in a triply diffusive layer” . J. Fluid Mech. , 202 : 443 – 465 .
- Turner , J. S. 1973 . Buoyancy effects in fluids , Cambridge University Press .