For citation:
Sinitsky l. A., Tsvigun O. A. On synchronization of the third order quasi-periodic systems by a periodic signal. Izvestiya VUZ. Applied Nonlinear Dynamics, 1998, vol. 6, iss. 2, pp. 35-41.
On synchronization of the third order quasi-periodic systems by a periodic signal
The dissipative system described by a system of the ordinary differential equations of the third order is considered. In the absence of an exterior signal all solutions of the
system converge to а unique quasi-periodic two-requency solution. When derivation of an input signal frequency tends to zero (relatively to а highfrequency component of а
quasi-periodic signal) the synchronization threshold is absent. The input signal amplitude growth causes destruction of а quasi-periodic solution: one-frequency oscillations exist on the frequency of an input signal.
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