a Kursk State Technical University, Department of Computer Science, 50 Years of October Str. 94, Kursk 305040, Russia b Department of Physics, The Technical University of Denmark, 2800 Lyngby, Denmark
Abstract:
The Letter presents a number of new bifurcation structures that can be observed when a multi-dimensional period-doubling system is subjected to a periodic forcing. We show how multi-layered tori arise through transverse period-doubling bifurcations of the resonant saddle and node cycles, and how these multi-layered tori transform into period-doubled ergodic tori through sets of saddle-node bifurcations.