Noise induced effects in an autonomous chaotic circuit

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Abstract
Noise-induced effects in a simple autonomous chaotic circuit are analyzed. Introduction of an additive noise in the feedback path in the system has a great impact on dynamic behavior. Results of this computer-assisted study are presented. Depending on the noise level, period doubling sequences leading to chaotic behavior become unfinished-the higher the noise level, the less period-doubled states are observed. The same phenomenon can be observed for period-halving sequences. Some of the periodic windows disappear when the noise level is growing. In the range of parameters where two chaotic attractors existed in the noise-free system, merging of attractors and general growth of attractor's volume in the presence of noise are observed. In terms of Lyapunov exponents, smoothing of the spectra can be observed. Results of computer experiments are included.<>

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