Smooth Schur factorizations in the continuation of separatrices
type: Item
instance of: scholarly article
title: Smooth Schur factorizations in the continuation of separatrices
zbMATH Open document ID: 1110.65120
author: Jorge Rebaza
published in: Linear Algebra and its Applications
publication date: 2007-02-12T00:00:00Z
review text: The author applies smooth block Schur factorizations of matrix functions to the numerical computation of separatrices in dynamical systems. He implements and improves the numerical algorithms OF \textit{L. Dieci} and \textit{J. Rebaza} [BIT 44, 41--62 (2004; Zbl 1052.65113); Erratum ibid. 44, 617--618 (2004; Zbl 1075.65145)].
Mathematics Subject Classification ID: 65P30
Mathematics Subject Classification ID: 15A23
Mathematics Subject Classification ID: 37G15
Mathematics Subject Classification ID: 37M20
zbMATH DE Number: 5123964
zbMATH Keywords: continuation of invariant subspaces
zbMATH Keywords: connecting orbits
zbMATH Keywords: smooth block Schur factorizations
zbMATH Keywords: matrix functions
zbMATH Keywords: separatrices in dynamical systems
zbMATH Keywords: algorithms
reviewed by: Erich W. Ellers
describes a project that uses: AUTO
describes a project that uses: HomCont
MaRDI profile type: Publication
full work available at URL: j.laa.2006.04.004
OpenAlex ID: W2047693396
Wikidata QID: Q114152441
cites work: On Smooth Decompositions of Matrices
cites work: Continuation of invariant subspaces
cites work: Q4313505
cites work: Point-to-periodic and periodic-to-periodic connections
cites work: Q5756880
cites work: Bifurcation of traveling waves in extrinsic semiconductors
cites work: Halo orbit mission correction maneuvers using optimal control
cites work: An analytical and numerical study of the bifurcations in a system of linearly-coupled oscillators
cites work: Symmetric Heteroclinic Connections in the Michelson System: A Computer Assisted Proof
DOI: 10.1016/J.LAA.2006.04.004
description: scientific article; zbMATH DE number 5123964