Absolute Controllability Condition for Probabilistic Control of Chaos-Reference-Cited by-同舟云学术

Absolute Controllability Condition for Probabilistic Control of Chaos

Published:1998-02 Issue:02 Volume:08 Page:409-413
ISSN:0218-1274
Container-title:International Journal of Bifurcation and Chaos
language:en
Short-container-title:Int. J. Bifurcation Chaos

Author:

Antoniou I.¹²,Basios V.¹³,Bosco F.¹⁴

Affiliation:

1. International Solvay Institutes for Physics and Chemistry, C.P. 231, Boulevard du Triomphe, 1050 Brussels, Belgium

2. Theoretische Naturkunde, Free University of Brussels, Brussels, Belgium

3. Service de Chimie Physique, Universite Libre de Bruxelles, C.P. 231 Campus Plaine ULB, 1050-Bruxelles, Belgique

4. Departamento de Fisica, Universidade Federal do Espirito Santo, 29060-900 Vitoria ES, Brazil

Abstract

We derive an absolute condition for probabilistic control [Antoniou et al., 1996] of the unstable dynamics of the β-adic Renyi map. The controllability condition over the parameters of the probabilistic dynamical system is valid for a wide class of observables and is obtained from the fixed point solution of the associated Markov operator for measures.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Modeling and Simulation,Engineering (miscellaneous)

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218127498000267

Reference1 articles.

1. PROBABILISTIC CONTROL OF CHAOS: THE β-ADIC RENYI MAP UNDER CONTROL

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