Analysis and stabilization of nonlinear chaotic systems
type: Item
instance of: scholarly article
title: Analysis and stabilization of nonlinear chaotic systems
zbMATH Open document ID: 0921.93004
DOI: 10.1016/S0898-1221(97)00132-6
author: A. Babloyantz
author: A. P. Nosov
author: A. P. Krishchenko
publication date: 1999-10-06T00:00:00Z
review text: Canonical forms of affine systems \(\dot x= A(x)+ B(x)u\), \(u\) scalar, are introduced. Necessary and sufficient condition for affine equivalence is proved. The trivial statement that Lorenz system with three equilibria and the Roessler system with two equilibria are not affine equivalent is stated.
reviewed by: A.Vaněček
Mathematics Subject Classification ID: 93B10
Mathematics Subject Classification ID: 93D15
Mathematics Subject Classification ID: 37D45
zbMATH DE Number: 1107129
zbMATH Keywords: chaotic dynamics
zbMATH Keywords: Lie transforms
zbMATH Keywords: limit cycles
zbMATH Keywords: canonical forms
zbMATH Keywords: affine systems
zbMATH Keywords: affine equivalence
MaRDI profile type: Publication
cites work: Control of chaos in delay differential equations, in a network of oscillators and in model cortex
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cites work: FROM CHAOS TO ORDER — PERSPECTIVES AND METHODOLOGIES IN CONTROLLING CHAOTIC NONLINEAR DYNAMICAL SYSTEMS
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cites work: Transformation of multidimensional affine controlled dynamic systems
Wikidata QID: Q126388173
published in: Computers & Mathematics with Applications
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description: scientific article; zbMATH DE number 1107129