FLUCTUATIONS IN PROBABILITY-DISTRIBUTION ON CHAOTIC ATTRACTORS

Fluctuations in probability distribution are used to study the influen ce of a weak periodic perturbation on a chaotic system. A detailed ana lysis of one very long time series reveals a great sensitivity to an e xternal perturbation. The case of a large amplitude stochastic perturb ation is also discussed. It is shown that the fractal geometry of an e xperimental attractor may be visualized up to length scales smaller th an the noise amplitude.