Critical behavior associated with quasiperiodicity at the golden-mean frequency ratio

TCT - Torus Collision Terminal alphabet

Description This type of critical behavior occurs in two-parameter analysis of 1D map quasiperiodically forced with the golden-mean frequency. The critical point is located at the end of the torus-collision bifurcation curve.   RG equation:   The fixed point of the RG equation g(x,y) =… show enlarged figure   The orbital scaling factors   Relevant eigenvalues   Codimension CoDim=2 (For 1D map, and, presumably, for more general systems too)

Examples: (1) Forced logistic map Attractor scaling with show enlarged figure (2) Forced supercritical circle map Parameter space arrangement Scaling coordinates (scaling with ) show enlarged figure show enlarged figure

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