Double-well oscillator damped

Basins for damped double-well oscillator) Suppose we add a small amount of damping to the double-well oscillator of Example 6.5.2. The new system is X = y, y = -by + x-x, where 0 < b 1. Sketch the basin of attraction for the stable fixed point (x, y ) =(1,0). Make the picture large enough so that the global structure of the basin is clearly indicated. 

Basins for tne unforced oscillator) Sketch the basins for the weakly damped double-well oscillator (12.5.1) in the unforced case when F-Q. How does their shape depend on the size of the damping What happens to the basins as the damping tends to zero What implications does this have for the predictability of the unforced system ... 

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