ISSN 0869-6632 (Print)
ISSN 2542-1905 (Online)

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Shabunin A. V. Control of multistability and forced synchronization in coupled self-sustained oscillators with period-doubling bifurcations. Izvestiya VUZ. Applied Nonlinear Dynamics, 2012, vol. 20, iss. 2, pp. 29-39. DOI: 10.18500/0869-6632-2012-20-2-29-39

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Control of multistability and forced synchronization in coupled self-sustained oscillators with period-doubling bifurcations

Shabunin Aleksej Vladimirovich, Saratov State University

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.

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