In Chapter 5 we analytically investigated the bifurcation properties of the evolution of the wave packet in the symmetric basic flow due to symmetric and asymmetric topographies, using the Rossby wave packet approximation, δ-surface approximation of the earth’s surface, and the WKB method. The results show that the topological structure of the evolution of a Rossby wave packet varies with basic flows and the topography. The subcritical and supercritical bifurcations, as well as the reverse subcritical and supercritical bifurcations, were found analytically. The effect of a zonal basic flow on the bifurcation differs from that of a meridional basic flow. The mixed scale equilibrium states were only found associated with the asymmetric topography.
KeywordsWave Packet Bifurcation Diagram Basic Flow Scale State Bifurcation Parameter
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