Controlling attractor structure in bistable chaotic oscillator

È. V. Kaliyanov

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

Abstract: The effect of the asymmetric characteristic of a nonlinear element in the Chua oscillator on the oscillatory process in this chaotic dynamical system has been studied. The system behavior was studied under the action of irregular oscillations modeling the intrinsic noise, rather than as excited by a single impact. It is established that a growth in the asymmetry parameter of the nonlinear element characteristic leads to an asymmetry of the chaotic attractor of the Chua oscillator that maps the switching of motions between the two basins of attraction. Then, the system exhibits a bifurcation, whereby chaotic oscillations arise in one of these basins and develop into motions that correspond to a multiple limit cycle.

Received: 11.02.2011

 English version: Technical Physics Letters, 2011, 37:6, 568–570

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