title: Winding number locking on a two-dimensional torus: synchronization of quasiperiodic motions.
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.
authors.affiliation: Institute of Nonlinear Dynamics, Department of Physics, Saratov State University, Russia. wadim@chaos.ssu.runnet.ru
authors.forename: V
authors.initials: V
authors.lastname: Anishchenko
authors.forename: S
authors.initials: S
authors.lastname: Nikolaev
authors.forename: J
authors.initials: J
authors.lastname: Kurths