Asymptotic behavior of the shape of planar polygons by linear flows

DOI10.1016/j.laa.2018.08.016zbMath1415.51018OpenAlexW2885264870MaRDI QIDQ1790490

Evilson Vieira, Ronaldo A. Garcia

Publication date: 2 October 2018

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2018.08.016

zbMATH Keywords

iterationasymptotic behaviordynamical systemaffine transformationlinear flowclosed polygonalshape of a polygon

Mathematics Subject Classification ID

Linear ordinary differential equations and systems (34A30) Applications of dynamical systems (37N99) Elementary problems in Euclidean geometries (51M04)

Related Items (1)

Solitons of the midpoint mapping and affine curvature

Cites Work

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• Solitons of discrete curve shortening
• Characteristic parameter sets and limits of circulant Hermitian polygon transformations
• Cyclic transformations of n-gons and related quadratic forms
• A Periodicity Problem in Plane Geometry
• Semidiscrete Geometric Flows of Polygons
• Ordinary Differential Equations with Applications
• A Polygon Problem

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