Research on the Effects of noise on nonlinear analog circuits

The aim of this research was to carry out an experimental elucidation about the effects of noise on chaotic systems. Some authors have claimed that white noise is able to induce synchronization among identically driven chaotic systems. Instead, our experimental results on noise-driven Chua's circuits, and the theoretical analyses carried out by other authors, confirm that purely white, zero-mean, Gaussian noise is not able to induce this effect on chaotic systems. Stability of the synchronized state is governed by the same variational equation as a undriven system, and this implies that one has to induce first a transition to periodic behavior, e.g., by using biased noise.

The following papers contain our results in this field:

  1. Analysis of synchronization of chaotic systems by noise: An experimental study.
    E. Sánchez, M.A. Matías, and V. Pérez-Muñuzuri,
    Physical Review E 56, 4068-4071 (1997).
  2. An experimental setup for studying the effect of noise on Chua's circuits.
    E. Sánchez, M.A. Matías, and V. Pérez-Muñuzuri,
    IEEE Transactions on Circuits and Systems-Part I 46(3), XXX (1999).

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