THE LINEAR-RESPONSE APPROACH TO THE FOKKER-PLANCK EQUATION .3. A DETERMINISTIC AND CHAOTIC BOOSTER

We apply the theory developed in I1 to two deterministic nonlinear sys tems with few degrees of freedom (mappings). The first mapping conside red is known to exactly satisfy the prescriptions laid down in I to ob tain the Fokker-Planck equation associated to Brownian motion. For the second mapping, due to its more complex form, it is not possible to p rove analytically that it too satisfies the prescriptions of 1; howeve r, we show numerically that this fact is plausible, at least in the ch aotic regime. For both cases we show that indeed Brownian motion for t he variable of interest w arises. We conclude arguing that the theory developped in I is generally applicable to systems for which the ''the rmal bath'' is in a fully chaotic state.