Proving the existence of long periodic orbits in 1D maps using interval Newton method and backward shooting
type: Item
instance of: scholarly article
title: Proving the existence of long periodic orbits in 1D maps using interval Newton method and backward shooting
zbMATH Open document ID: 1009.37027
DOI: 10.1016/S0166-8641(01)00227-9
author: Zbigniew Galias
published in: Topology and its Applications
publication date: 2003-03-10T00:00:00Z
Mathematics Subject Classification ID: 37E05
Mathematics Subject Classification ID: 65G40
Mathematics Subject Classification ID: 37E15
Mathematics Subject Classification ID: 37M99
Mathematics Subject Classification ID: 65P99
zbMATH DE Number: 1879079
zbMATH Keywords: periodic orbits
zbMATH Keywords: interval methods
zbMATH Keywords: shooting technique
zbMATH Keywords: numerical approximation
zbMATH Keywords: Lyapunov exponents
describes a project that uses: PROFIL/BIAS
MaRDI profile type: Publication
cites work: Q4321533
cites work: Q3345690
cites work: Q4233734
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cites work: Q3534364
cites work: INTERVAL METHODS FOR RIGOROUS INVESTIGATIONS OF PERIODIC ORBITS
cites work: Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
cites work: Q3207999
cites work: Derived eigenvalues of symmetric matrices, with applications to distance geometry
description: scientific article; zbMATH DE number 1879079