Chaotic attractors in nonlinear dissipative systems of ordinary differential equations
type: Item
instance of: scholarly article
title: Chaotic attractors in nonlinear dissipative systems of ordinary differential equations
zbMATH Open document ID: 1162.34044
published in: Computational Mathematics and Modeling
publication date: 2008-10-16T00:00:00Z
review text: The goal of this article is to establish the nature, the processes of birth, and the principles of creation of attractors of three-dimensional nonlinear autonomous dissipative systems of ordinary differential equations (ODE) with singular cycles. The same scenarios of chaos onset are also characteristic of all known classical three dimensional autonomous dissipative systems of nonlinear ODE.
reviewed by: Gasanbek T. Arazov
Mathematics Subject Classification ID: 34D45
zbMATH DE Number: 5352342
zbMATH Keywords: attractor
zbMATH Keywords: nonlinear dissipative systems
zbMATH Keywords: nonlinear differential equations
author: N. A. Magnitskii
MaRDI profile type: Publication
full work available at URL: s10598-008-0002-y
OpenAlex ID: W2093056780
cites work: Q3865967
cites work: Q4138569
cites work: Q5605744
cites work: Q3998284
cites work: Deterministic Nonperiodic Flow
cites work: A new view of the Lorenz attractor
cites work: Quantitative universality for a class of nonlinear transformations
DOI: 10.1007/S10598-008-0002-Y
description: scientific article; zbMATH DE number 5352342