- A three-layer model of baroclinic instability on a β-plane with Ekman layers on the interfaces and upper and lower bounding surfaces, is shown to support 2 unstable modes, having the same wavenumber but different phase speeds, on the stability boundary, when the basic state comprises non-linear shear and density profiles. Evolution equations are derived using multiple scales and are shown to transform to the canonical equations for a co-dimension 2 double Hopf bifurcation. The implications of this are discussed. © 1982.
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AN EXAMPLE OF 2-MODE INTERACTION IN A 3-LAYER MODEL OF BAROCLINIC INSTABILITY
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