Symmetry breaking and fractal dependence on initial conditions in dynamical systems: Ordinary differential equations of thermal convection
type: Item
instance of: scholarly article
title: Symmetry breaking and fractal dependence on initial conditions in dynamical systems: Ordinary differential equations of thermal convection
zbMATH Open document ID: 0942.76016
DOI: 10.1016/S0960-0779(98)00002-2
author: Yanyan Li
published in: Chaos, Solitons and Fractals
publication date: 2000-08-21T00:00:00Z
review text: The authors investigate a three-dimensional dynamical system having co-existing attractors with complicated basin boundaries, which describes thermal convection in fluids. It is shown that the boundary structure, after symmetry breaking, is determined by stable manifolds of symmetric repellers. Geometry of a basin boundary formed in regular dynamic regime is explained and shown to be quasi-fractal.
reviewed by: Iuliana Oprea
Mathematics Subject Classification ID: 76E06
Mathematics Subject Classification ID: 37N10
Mathematics Subject Classification ID: 34D35
zbMATH DE Number: 1370458
zbMATH Keywords: quasi-fractal basin boundary
zbMATH Keywords: three-dimensional dynamical system
zbMATH Keywords: co-existing attractors
zbMATH Keywords: thermal convection
zbMATH Keywords: symmetry breaking
zbMATH Keywords: stable manifolds of symmetric repellers
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1370458