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By W. W. Rouse Ball

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A 359, 27 (1978). 12. T. B. Benjamin, Math. Proc, Camb. Phil. Soc. 79^, 373 13. T . B. Benjamin, Proc. Roy. Soc. A 359, 1 (1978). 14. T. B. Benjamin, Art. in Contemporary Developments in Phys. Rev. Lett, (submitted 1980). (1976). Continuum Mechanics and Partial Differential Equations (éd. G. M. de la Penha & L. A. J. Medeiros). matical Studies 30 (1978) . (North-Holland). Mathe- NEW OBSERVATIONS IN THE TAYLOR EXPERIMENT 15. P M. Eagles, J. Fluid Mech. 49^, 529 (1971). 16. J A. Cole, J. Fluid Mech.

This should permit a more detailed theoretical investigation of various aspects of the problem among which the interaction of patches of rolls is of special interest. REFERENCES 1. Ahlers, G. and R. P. Behringer, Evolution of turbulence from the Rayleigh-Benard Instability, Phys. Rev. Lett. 40, 712 - 716, 1978. 2. Busse, F. Progress in Physics 4J_, 1929 - 1967, 1978. 3. Busse, F. , The oscillatory instability of convection rolls in a low Prandtl number fluid, J. , _52, 97 - 112, 1972. 4. Busse, F.

And Busse, F. , Transition to time dependent convection, J. , 6j5, 625 - 645, 1974. 9. Donnelly, R. , N. Park, R. Shaw and R. W. Waiden, Early nonperiodic transitions in Couette flow, Phys. Rev. Lett. 4±, 987 - 989, 1980. 10. Feigenbaum, M. , Quantitative universality for a class of nonlinear transformations, J. Statist. Phys. V9, 25-52, 1978. 11. Gollub, J. , The onset of trubulence: convection, surface wave and oscillators in: Systems Far from Equilibrium, (Proceedings of the Sitges International School and Symposium on Statistical Mechanics), Ed.

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