Theoretical and Mathematical Physics

Mutual synchronization in a system of two bistable oscillators executing regular and chaotic oscillations

È. V. Kaliyanov

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

Abstract: A numerical analysis of a new model describing two coupled modified Chua’s oscillators is conducted. Equations of a partial oscillator differ from classical equations in that the former contain additional delayed feedback in another writing of dimensionless time. Changeover from regular oscillations in the absence of additional feedback to additional-feedback-induced (switchable) chaotic oscillations is studied. It is shown that, when normal regular oscillations, as well as additional-feedback-induced chaotic oscillations, are synchronized, difference oscillations are left. They are absent only when the control parameters of partial oscillators are identical. The application of a harmonic signal allows one to control the oscillations of a chaotic system of coupled modified bistable oscillators.

Received: 18.10.2011
Accepted: 04.04.2012

 English version: Technical Physics, 2012, 57:12, 1607–1612

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