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Look at the lung ventilation problem in the phaseplane and study what
happens when the steady state becomes unstable. Here is the Ode file:
# lung ventilation
c'=c-b*c*v+m
v'=a*c
par a=1,b=.1,m=.1
@ meth=discrete,total=200
done

Change *b* to 1.5 and gradually ratchet up *m*. Try *m*=.7 and
looking in the phaseplane windowed as
.

*G. Bard Ermentrout*

*1999-09-17*