Distribution of controlled Lyapunov exponents: a statistical simulation study.
type: Item
instance of: scholarly article
title: Distribution of controlled Lyapunov exponents: a statistical simulation study.
zbMATH Open document ID: 1110.93374
DOI: 10.1016/S0167-9473(99)00047-X
published in: Computational Statistics and Data Analysis
publication date: 2000-06-04T00:00:00Z
review text: A feedback control design method has been proposed by the authors towards anti-control of chaos by means of making an arbitrary discrete-time dynamical system behave chaotically, where the feedback control can force all the Lyapunov exponents of the controlled system become strictly positive. Since a control sequence so designed is not uniquely determined, random mechanism can be used to select a suitable control-gain sequence. The behavior (distribution) of the controlled Lyapunov exponents generated by the proposed method is important and hence calls for further statistical analysis. Using Monte Carlo simulations, we examine the distribution empirically in this paper.
Mathematics Subject Classification ID: 93D15
Mathematics Subject Classification ID: 37D45
Mathematics Subject Classification ID: 65C05
zbMATH DE Number: 1454549
zbMATH Keywords: Anticontrol
zbMATH Keywords: Chaos
zbMATH Keywords: Dynamical systems
zbMATH Keywords: Simulations
zbMATH Keywords: Time series
author: D. Lai
author: Guanrong Chen
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1454549