initial condition for two or more local maximum model

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How can determine how many local maximum has the following system,

x_1\'=-ax_1x_2-ax_1x_4
x_2\'=ax_1x_2+ax_1x_4-bx_2
x_3\'=c_1x_2-c_2x_3
x_4\'=c_2x_2-c_2x_4
<


                      
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