I. Antoniou et al., ABSOLUTE-CONTROLLABILITY CONDITION FOR PROBABILISTIC CONTROL OF CHAOS, International journal of bifurcation and chaos in applied sciences and engineering, 8(2), 1998, pp. 409-413
We derive an absolute condition for probabilistic control [Antoniou et
al., 1996] of the unstable dynamics of the beta-adic Renyi map. The c
ontrollability condition over the parameters of the probabilistic dyna
mical system is valid for a wide class of observables and is obtained
from the fixed point solution of the associated Markov operator for me
asures.