Critical behavior associated with quasiperiodicity at the goldenmean frequency ratio 


Description This type of critical behavior occurs in twoparameter analysis of 1D map quasiperiodically forced with the goldenmean frequency. The critical point is located at the end of the toruscollision bifurcation curve.
RG equation:
The fixed point of the RG equation
The orbital scaling factors
Relevant eigenvalues
Codimension 
Examples: (1) Forced logistic map Attractor scaling with (2) Forced supercritical circle map Parameter space arrangement Scaling coordinates 