Bifurcation
x(dot)=rx-x^2+x^4
Could I know what kind of bifurcation occurs in this motion, please?
I found so far, for trivial fixed point x=0 , when r<0 stable, r=0 bifurcation occurs and r>0 unstable; is this correct?
I am not sure of bifurcation type; is it transcritical as x=0 is a fixed point for all values of r.
Thanks
Could I know what kind of bifurcation occurs in this motion, please?
I found so far, for trivial fixed point x=0 , when r<0 stable, r=0 bifurcation occurs and r>0 unstable; is this correct?
I am not sure of bifurcation type; is it transcritical as x=0 is a fixed point for all values of r.
Thanks
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71 on the MAT, rejected for interview by both Oxford and Imperial.
