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- W3100694751 abstract "A system of five ordinary differential equations is studied which combines the Lorenz-84 model for the atmosphere and a box model for the ocean. The behaviour of this system is studied as a function of the coupling parameters. For most parameter values, the dynamics of the atmosphere model is dominant. Stable equilibria are found, as well as periodic solutions and chaotic attractors. For a range of parameter values, competing attractors exist. The Kaplan-Yorke dimension and the correlation dimension of the chaotic attractor are numerically calculated and compared to the values found in the uncoupled Lorenz model. The correlation dimension differs much less than te Kaplan-Yorke dimension, indicating that there is little variability in the ocean model. In the transition from periodic behaviour to chaos intermittency is observed. This is explained by means of bifurcation analysis. The intermittent behaviour occurs near a Neimark-Sacker bifurcation at which a periodic solution loses its stability. The average length of a periodic interval in the intermittent regime, l, is studied as a function of the bifurcation parameter. Near the bifurcation point it shows a power law scaling. It diverges as l / ǫ � , where α � 0.06 and ǫ is the distance from the bifurcation point, in reasonable agreement with the results of Pomeau and Manneville (Commun. Math. Phys. 74, 1980). The intermittent behaviour persists beyond the point where the unstable periodic solution disappears in a saddle node bifurcation. The length of the periodic intervals is governed by the time scale of the ocean component. Thus, in this regime the ocean model has a considerable influence on the dynamics of the coupled system." @default.
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- W3100694751 date "1998-12-16" @default.
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- W3100694751 title "The dynamics of a low-order coupled ocean-atmosphere model" @default.
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