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$\begin{figure} \par\includegraphics[width=7.5cm,clip]{Hl232_f1.eps} \end{figure}$ Figure 1: Evolution of the field strength at z=0 obtained by solving Eqs. (4)-(7) with vertical advection (solid line, C_U=0.3) and without it (dashed line, C_U=0), for $C_\Omega =-2$ , $C_\alpha =1$ and $R_{\rm m}=10^5$ . The dynamo is neutrally stable at $C_\alpha =0.26$ for $~{\rm C}_U=0.3$ and $C_\Omega =2$ . The dotted curve, obtained for $C_U\ll 1$ , shows that even weak advection can affect the long-term evolution of magnetic field. For $~{\rm C}_U=0$ , nonlinear effects make the $\alpha$ profile flatter at small |z|; this causes an oscillatory decay of the field. The inset shows similar results for $~{\rm C}_U=0.1$ (solid), 1.5 (dashed), 2 (dotted) and 3 (dash-dotted).
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In the text

$\begin{figure} \par\includegraphics[width=7.5cm,clip]{Hl232_f2.eps} \end{figure}$ Figure 2: Plots of $\overline {B}_\phi$ and $\overline {B}_r$ (upper panel) and $\alpha$ (solid), $\alpha _{\rm m}$ (dashed) and $\alpha _{\rm K}$ (dotted) (lower panel) versus z in the steady state for C_U=0.3, $C_\Omega =-2$ , $C_\alpha =1$ , $R_{\rm m}=10^5$ , and $k_1=\pi /h$ .
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In the text

$\begin{figure} \par\includegraphics[width=7.5cm,clip]{Hl232_f2.eps} \end{figure}$	Figure 2: Plots of $\overline {B}_\phi$ and $\overline {B}_r$ (upper panel) and $\alpha$ (solid), $\alpha _{\rm m}$ (dashed) and $\alpha _{\rm K}$ (dotted) (lower panel) versus z in the steady state for C_U=0.3, $C_\Omega =-2$ , $C_\alpha =1$ , $R_{\rm m}=10^5$ , and $k_1=\pi /h$ .
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