TY  - JOUR
A1  - Anishchenko, Vadim S.
A1  - Nikolaev, S
A1  - Kurths, Jürgen
T1  - Winding number locking on a two-dimensional torus : synchronization of quasiperiodic motions
N2  - We propose a new autonomous dynamical system of dimension N=4 that demonstrates the regime of stable two- frequency motions and period-doubling bifurcations of a two-dimensional torus. It is shown that the period-doubling bifurcation of the two-dimensional torus is not followed by the resonance phenomenon, and the two-dimensional ergodic torus undergoes a period-doubling bifurcation. The interaction of two generators is also analyzed. The phenomenon of external and mutual synchronization of two-frequency oscillations is observed, for which winding number locking on a two- dimensional torus takes place
Y1  - 2006
UR  - http://pre.aps.org/
U6  - https://doi.org/10.1103/Physreve.73.056202
SN  - 1539-3755
ER  -