Probabilistic control of chaos through small perturbations

被引：13

作者：

Antoniou, I

Bosco, F

机构：

[1] Int Solvay Inst Phys, B-1050 Brussels, Belgium

[2] Int Solvay Inst Chem, B-1050 Brussels, Belgium

[3] Univ Fed Espirito Santo, Dept Fis, BR-29060900 Vitoria, ES, Brazil

[4] Free Univ Brussels, B-1050 Brussels, Belgium

来源：

CHAOS SOLITONS & FRACTALS | 2000年 / 11卷 / 1-3期

关键词：

D O I：

10.1016/S0960-0779(98)00306-3

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study the method of probabilistic control of chaotic dynamics (I. Antoniou, V. Basios, F. Bosco, Int. J. Bit, Chaos 6 (1996) 1563; I. Antoniou, V. Basios, F. Bosco, Absolute controllability condition for probablistic control of Chaos, Int. J. Bit, Chaos 8(2) (1998) 409) in connection with small random perturbations of the map parameter. By constructing a probabilistic dynamical system equivalent to the perturbed chaotic map we calculate a characteristic exponent which gives controllability conditions in terms of the applied perturbations, (C) 1999 Elsevier Science Ltd. All rights reserved.

引用

页码：359 / 371

页数：13

共 4 条

[1] Spectral decomposition of contracting probabilistic dynamical systems [J].