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$\begin{figure} \par {\includegraphics[angle=0,width=8cm,clip]{9710fig.ps} } \end{figure}$ Figure 1: Two orthonormal bases are considered: i) cylindrical components of unit vectors, ( ${\vec{e}}_\Phi, {\vec{e}}_R$ , ${\vec{e}}_x$ ); ii) unit vectors of the system rigidly fixed on each point of the curve, ( ${\vec{e}}_{r}, {\vec{e}}_{\theta}$ , ${\vec{e}}_x$ ), respectively. C is the center of the curvature. Hereafter, this set of coordinates is referred to as the field line coordinates.
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In the text

$\begin{figure} \par {\includegraphics[angle=0,width=8cm,clip]{9710lambda1.ps} } \end{figure}$ Figure 2: The dependence of logarithm of the instability timescale on the normalized wave length. The set of parameters is $\gamma _{\rm e0} = \{10^5;10^6;10^7;10^8\}$ , $R_{B}\approx R_{\rm lc}$ , $n_{\rm e0} = 0.001cm^{-3}$ , $\lambda _{\phi } = 100R_{\rm lc}$ and $L/L_{\rm E} = 0.01$ .
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In the text

$\begin{figure} \par {\includegraphics[angle=0,width=8cm,clip]{9710density1.ps} } \end{figure}$ Figure 3: The dependence of logarithm of the instability timescale on the density normalized by the medium density. The set of parameters is $\gamma _{\rm e0} = \{10^5;10^6;10^7;10^8\}$ , $R_{B}\approx R_{\rm lc}$ , $\lambda _{\rm e0} = R_{\rm lc}$ , $\lambda _{\phi } = 100R_{\rm lc}$ and $L/L_{\rm E} = 0.01$ .
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In the text

$\begin{figure} \par {\includegraphics[angle=0,width=8cm,clip]{9710gamma1.ps} } \end{figure}$ Figure 4: The dependence of logarithm of the instability time scale on $\log(\gamma_{\rm e0})$ . The set of parameters is $R_{B}\approx R_{\rm lc}$ , $n_{\rm e0}/n_{\rm m} = 0.001$ , $\lambda _{\rm e0} = R_{\rm lc}$ , $\lambda _{\phi } = 100R_{\rm lc}$ and $L/L_{\rm E} = \{0.01;0.05;0.3;1\}$ .
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In the text

$\begin{figure} \par {\includegraphics[angle=0,width=8cm,clip]{9710luminosity1.ps} } \end{figure}$ Figure 5: The dependence of logarithm of the instability time scale on $\log(\gamma_{\rm e0})$ . The set of parameters is $R_{B}\approx R_{\rm lc}$ , $n_{\rm e0}/n_{\rm m} = \{0.001;0.01;0.1;1\}$ , $\lambda _{\rm e0} = R_{\rm lc}$ , $\lambda _{\phi } = 100R_{\rm lc}$ and $L/L_{\rm E} = 0.01$ .
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In the text

$\begin{figure} \par {\includegraphics[angle=0,width=8.5cm,clip]{9710fig1.ps} } \end{figure}$ Figure 6: The behaviour of logarithm of the evolution timescale versus M₉ and $L/L_{\rm E}$ . The set of parameters is $\eta = 0.03$ , $\epsilon = 0.1$ .
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In the text

$\begin{figure} \par {\includegraphics[angle=0,width=8cm,clip]{9710energy1.ps} } \end{figure}$ Figure 7: The dependence of $L_{\rm m}/L_{\rm max}$ versus $\delta$ . The set of parameters is $\gamma _{\rm e0} = \{10^5;10^6;10^7;10^8\}$ , $R_{B}\approx R_{\rm lc}$ , $n_{\rm e0} = 0.001$ cm^-3, $\lambda _{\phi } = 100R_{\rm lc}$ , $\lambda _{x} = R_{\rm lc}$ and $L = 10^{45}~{\rm erg/s}$ .
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In the text

$\begin{figure} \par {\includegraphics[angle=0,width=8cm,clip]{9710lambda1.ps} } \end{figure}$	Figure 2: The dependence of logarithm of the instability timescale on the normalized wave length. The set of parameters is $\gamma _{\rm e0} = \{10^5;10^6;10^7;10^8\}$ , $R_{B}\approx R_{\rm lc}$ , $n_{\rm e0} = 0.001cm^{-3}$ , $\lambda _{\phi } = 100R_{\rm lc}$ and $L/L_{\rm E} = 0.01$ .
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$\begin{figure} \par {\includegraphics[angle=0,width=8cm,clip]{9710density1.ps} } \end{figure}$	Figure 3: The dependence of logarithm of the instability timescale on the density normalized by the medium density. The set of parameters is $\gamma _{\rm e0} = \{10^5;10^6;10^7;10^8\}$ , $R_{B}\approx R_{\rm lc}$ , $\lambda _{\rm e0} = R_{\rm lc}$ , $\lambda _{\phi } = 100R_{\rm lc}$ and $L/L_{\rm E} = 0.01$ .
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$\begin{figure} \par {\includegraphics[angle=0,width=8cm,clip]{9710gamma1.ps} } \end{figure}$	Figure 4: The dependence of logarithm of the instability time scale on $\log(\gamma_{\rm e0})$ . The set of parameters is $R_{B}\approx R_{\rm lc}$ , $n_{\rm e0}/n_{\rm m} = 0.001$ , $\lambda _{\rm e0} = R_{\rm lc}$ , $\lambda _{\phi } = 100R_{\rm lc}$ and $L/L_{\rm E} = \{0.01;0.05;0.3;1\}$ .
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$\begin{figure} \par {\includegraphics[angle=0,width=8cm,clip]{9710luminosity1.ps} } \end{figure}$	Figure 5: The dependence of logarithm of the instability time scale on $\log(\gamma_{\rm e0})$ . The set of parameters is $R_{B}\approx R_{\rm lc}$ , $n_{\rm e0}/n_{\rm m} = \{0.001;0.01;0.1;1\}$ , $\lambda _{\rm e0} = R_{\rm lc}$ , $\lambda _{\phi } = 100R_{\rm lc}$ and $L/L_{\rm E} = 0.01$ .
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$\begin{figure} \par {\includegraphics[angle=0,width=8.5cm,clip]{9710fig1.ps} } \end{figure}$	Figure 6: The behaviour of logarithm of the evolution timescale versus M₉ and $L/L_{\rm E}$ . The set of parameters is $\eta = 0.03$ , $\epsilon = 0.1$ .
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$\begin{figure} \par {\includegraphics[angle=0,width=8cm,clip]{9710energy1.ps} } \end{figure}$	Figure 7: The dependence of $L_{\rm m}/L_{\rm max}$ versus $\delta$ . The set of parameters is $\gamma _{\rm e0} = \{10^5;10^6;10^7;10^8\}$ , $R_{B}\approx R_{\rm lc}$ , $n_{\rm e0} = 0.001$ cm^-3, $\lambda _{\phi } = 100R_{\rm lc}$ , $\lambda _{x} = R_{\rm lc}$ and $L = 10^{45}~{\rm erg/s}$ .
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