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Pisma v Zhurnal Tekhnicheskoi Fiziki, 2011 Volume 37, Issue 22, Pages 1–9 (Mi pjtf9328)

This article is cited in 2 papers

Features of induced synchronization of a bistable oscillator with chaotic dynamics

È. V. Kaliyanov

Kotelnikov Institute of Radioengineering and Electronics, Fryazino Branch, Russian Academy of Sciences

Abstract: The features of induced synchronization of a Chua oscillator with a nonlinear element admitting cubic approximation have been numerically simulated for a system where the autonomous operation admits regular or chaotic regimes determined by losses in the oscillatory circuit. The cases of deterministic synchronization (under the action of a harmonic external driving signal) and chaotic synchronization (chaotic control) have been considered. It is established that, outside the band of synchronous oscillations that corresponds to the deterministic synchronization, the external harmonic signal stimulates the transformation of regular oscillations into chaos with the motions switched between two attractors. In cases of chaotic synchronization, there is a residual “noise” in the form of differential chaotic oscillations, which grows with increasing non-identity of the driving and driven signals.

Received: 14.06.2011


 English version:
Technical Physics Letters, 2011, 37:11, 1042–1045

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