A note on singularities of 3-flows in \({\mathcal G}^1(M)\)
type: Item
instance of: scholarly article
zbMATH Open document ID: 1007.37010
author: Takeharu Yamanaka
publication date: 2002-02-04T00:00:00Z
Mathematics Subject Classification ID: 37C20
Mathematics Subject Classification ID: 37C27
Mathematics Subject Classification ID: 37D05
zbMATH DE Number: 1660831
zbMATH Keywords: vector fields
zbMATH Keywords: periodic orbits
zbMATH Keywords: Lorenz attractor
MaRDI profile type: Publication
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title: A note on singularities of 3-flows in \({\mathcal G}^1(M)\)
published in: Far East Journal of Dynamical Systems
review text: The goal of this paper is to characterize the singularities of vector fields in the space of dynamical systems known as \({\mathfrak A}^1(M)\), where \(M\) is an \(n\)-dimensional compact smooth manifold without boundary. The author assumes that \(M\) is 3-dimensional and shows that singularities of vector fields \({\mathfrak A}^1(M)\) accumulated by the periodic orbits are generally the same as in the geometric Lorenz attractor.
reviewed by: Messoud Efendiev
description: scientific article; zbMATH DE number 1660831