ABSOLUTE-CONTROLLABILITY CONDITION FOR PROBABILISTIC CONTROL OF CHAOS

Citation
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
Citations number
4
Categorie Soggetti
Mathematics,Mathematics,"Multidisciplinary Sciences
ISSN journal
02181274
Volume
8
Issue
2
Year of publication
1998
Pages
409 - 413
Database
ISI
SICI code
0218-1274(1998)8:2<409:ACFPCO>2.0.ZU;2-Y
Abstract
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.