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Zhurnal Tekhnicheskoi Fiziki, 2012 Volume 82, Issue 3, Pages 1–6 (Mi jtf8770)

Theoretical and Mathematical Physics

Chaotic oscillations in a coupled system of bistable oscillators

È. V. Kaliyanov

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

Abstract: The influence of the asymmetry of the nonlinear element characteristic on the chaotic oscillations of Chua’s bistable oscillator is studied. It is shown that such asymmetry causes asymmetry of a chaotic attractor that maps the switching of motions between two basins of attraction up to the concentration of oscillations in one basin. Oscillation control in a bistable chaotic self-oscillating system (two coupled Chua’s oscillators) is considered. It is demonstrated that oscillations excited in two basins of attraction may pass to one of them and that oscillations may build up in two basins when they are autonomously excited in different basins. It is also found that chaotic oscillations in a coupled system may be excited at parameter values for which the autonomous chaotic oscillations of partial oscillators are absent. The influence of external noiselike oscillations is investigated.

Received: 14.02.2011
Accepted: 28.06.2011


 English version:
Technical Physics, 2012, 57:3, 315–319

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