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-- part contents for background part 23
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0.  Steady flow corresponds to a fixed point in state space.
1.  An instability would introduce an oscillation which corresponds to a cycle in state space.
2.  A further instability would introduce another oscillation to form a torus.
3.  A third instability would introduce yet another oscillation to form what is called a 3-torus.

And so on . . . 
each transition making the motion more complicated.