main science this page only

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

TCT - Torus Collision Terminal



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


(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

main science alphabet this page only top

Saratov group
of theoretical nonlinear
Хостинг от uCoz