A classification theorem for Zindler carousels
type: Item
instance of: scholarly article
title: A classification theorem for Zindler carousels
zbMATH Open document ID: 1034.53005
DOI: 10.1023/A:1013099830164
author: L. Montejano
author: Javier Bracho
author: Deborah Oliveros
published in: Journal of Dynamical and Control Systems
publication date: 2003-04-27T00:00:00Z
review text: The main object of the paper is the Zindler carousels, i.e. systems of \(n\) smooth curves \(\{ \beta_1(t)\dots \beta_n(t)\}\) in \(\mathbb{R}^2\) satisfying the following properties: (1) \(| \beta_{i+1}(t)-\beta_{i}(t)| = \text{const} \neq 0\). (2) The curve \(m_i(t)=(\beta_i(t)+\beta_{i+1}(t))/2\) has tangent vector \(m'_i(t)\) parallel to \(\beta_{i+1}(t)-\beta_i(t)\). (3) The curves \(\beta_i(t)\) are reparametrizations of the same closed curve. The paper gives the complete classification of Zindler carousels with five chairs (i.e. \(n=5\)).
reviewed by: S. Yanchuk
Mathematics Subject Classification ID: 53A04
Mathematics Subject Classification ID: 34A12
Mathematics Subject Classification ID: 34A26
zbMATH DE Number: 1901437
zbMATH Keywords: flotation
zbMATH Keywords: Zindler curves
zbMATH Keywords: period
MaRDI profile type: Publication
full work available at URL: a:1013099830164
OpenAlex ID: W123010032
description: scientific article; zbMATH DE number 1901437