Repeated appearance of a torus in the torus-doubling transition into chaosnear the ferroelectric phase transition of KH2PO4 crystal

In an ordinary torus-doubling transition into chaos, the torus generated by a Hopf bifurcation period doubles into chaos by a finite number of torus d oublings. A phenomenon which was not revealed in the previous torus-doublin g transition into chaos near the ferroelectric phase transition of KH2PO4 c rystal is observed. The crystal, implemented in a simple series RLC circuit , undergoes an ordinary torus doubling into chaos but subsequently, another torus emerges which soon develops into a second onset of chaos. This dynam ical behavior is analogous to the repeated appearance of periodic windows i n the period doubling of a fixed point occurring in a low-dimensional dynam ical system.