Peculiarities of synchronization of quasi-periodic oscillations.

Vadim Anishchenko, Sergey Nikolaev, Juergen Kurths

We propose a new autonomous dynamical system of dimension N=4 that demonstrates the regime of stable two-frequency motions. 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. The peculiarities of external synchronization of a resonant limit cycle on a torus are studied.

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