@article{AnishchenkoNikolaevKurths2006, author = {Anishchenko, Vadim S. and Nikolaev, S and Kurths, J{\"u}rgen}, title = {Winding number locking on a two-dimensional torus : synchronization of quasiperiodic motions}, issn = {1539-3755}, doi = {10.1103/Physreve.73.056202}, year = {2006}, abstract = {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}, language = {en} }