Noise induced effects in an autonomous chaotic circuit

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