control of multistability.

We propose a new method of control of phase multistability in two coupled self­sustained oscillators. The method is based on the «pulling» of phases of oscillations to the target mode under two external harmonic forces, which influence the first and the second sub­systems simultaneosly. Varying the phase shift between the external signals results in control of switching between coexisting oscillating modes. Effectiveness of the method is demonstrated on the example of switching between periodic and chaotic regimes in two Chua’s oscillatotrs.

Control of phase multistability and synchronization are investigated in two coupled Feigenbaum systems on example of Chua’s generators, coupled through symmetric diffusive link. The control is fulfilled by externel periodic signals, which simultaneously influence the both oscillators with equal amplitudes and frequencies, but with different phases. The behaviour of the system is explored in depandence on amplitude, frequency and phase difference between the signals. Influence of the phase difference on width of the synchronization tongue is considered.