Keywords
- Rayleigh Number
- Stable Period
- Strange Attractor
- Singular Solution
- Periodic Sequence
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References
V. Bjerknes, Das Problem der Wettervorhersage, betrachtet vom Standpunkt der Mechanik und der Physik, Meteorol. Zeit. (1904), 107.
J. Guckenheimer, On bifurcation of maps of the internal, Invent. Math., 39 (1977), 165–178.
G. Julia, Mémoire sur l'itération des fonctions rationelle, J. Math. Pures. Appl., 4 (1918), 47–245.
E.N. Lorenz, Deterministic nonperiodic flow, J. Atmos. Sci., 20 (1963), 130–141.
E.N. Lorenz, The problem of deducing the climate from the governing equations, Tellus, 16 (1964), 1–11.
E.N. Lorenz, An N-cycle time-differencing scheme for stepwise numerical integration. Mon. Weather Rev., 99, 644–648.
R.M. May, Simple mathematical models with very complicated dynamics, Nature, 261 (1976), 459–467.
L.F. Richardson, Weather prediction by numerical process. Cambridge Univ. Press (1922).
D. Ruelle and F. Takens, On the nature of turbulence, Commun. Math. Physics, 20 (1971), 167–192.
B. Saltzman, Finite amplitude free convection as an initial value problem-I, J. Atmos. Sci., 19 (1962), 329–341.
D. Singer, Stable orbits and bifurcation of maps of the interval, SIAM J. Appl. Math., 35 (1978), 260–267.
N. Wiener, Nonlinear prediction and dynamics. Proc. 3rd Berkeley Sympos. Math. Statistics and Probability, Vol. 3 (1956), 247–252.
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© 1979 Springer-Verlag
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Lorenz, E.N. (1979). On the prevalence of aperiodicity in simple systems. In: Grmela, M., Marsden, J.E. (eds) Global Analysis. Lecture Notes in Mathematics, vol 755. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0069804
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DOI: https://doi.org/10.1007/BFb0069804
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