Geometry of Systems with Symmetry

A special issue of Symmetry (ISSN 2073-8994). This special issue belongs to the section "Mathematics".

Deadline for manuscript submissions: closed (30 November 2022) | Viewed by 3785

Special Issue Editors


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Guest Editor
Department of Mathematics and Statistics, University of Calgary, Calgary, AB T2N 1N4, Canada
Interests: geometry of integrable dynamical systems
Special Issues, Collections and Topics in MDPI journals

E-Mail
Guest Editor
Department of Mathematics and Statistics, University of Calgary, Calgary, AB T2N 1N4, Canada
Interests: differential geometry; dynamical systems

Special Issue Information

Dear Colleagues,

The aim of this Special Issue on the geometry of systems with symmetry is to assemble recent results on the qualitative behavior of the solutions of systems with symmetry. These systems may be Hamiltonian or non-holonomic dynamical systems or quantum mechanical systems which are symmetric and have a notion of symmetry reduction. The reduced spaces may have singularities along with reduced dynamics. An example of such a system is the Routh sphere, which is an axially symmetric sphere, two of whose moments of inertia are equal, but whose center of mass is not at the geometric center of the sphere, which rolls without slipping on the horizontal plane under the influence of a linear gravitational field. Furthermore, the system may have complicated geometric behavior, such as monodromy.

Submit your paper and select the Journal “Symmetry” and the Special Issue “Geometry of Systems with Symmetry” via: MDPI submission system. Our papers will be published on a rolling basis and we will be pleased to receive your submission once you have finished it.

Dr. Richard Cushman
Dr. Larry Bates
Guest Editors

Manuscript Submission Information

Manuscripts should be submitted online at www.mdpi.com by registering and logging in to this website. Once you are registered, click here to go to the submission form. Manuscripts can be submitted until the deadline. All submissions that pass pre-check are peer-reviewed. Accepted papers will be published continuously in the journal (as soon as accepted) and will be listed together on the special issue website. Research articles, review articles as well as short communications are invited. For planned papers, a title and short abstract (about 100 words) can be sent to the Editorial Office for announcement on this website.

Submitted manuscripts should not have been published previously, nor be under consideration for publication elsewhere (except conference proceedings papers). All manuscripts are thoroughly refereed through a single-blind peer-review process. A guide for authors and other relevant information for submission of manuscripts is available on the Instructions for Authors page. Symmetry is an international peer-reviewed open access monthly journal published by MDPI.

Please visit the Instructions for Authors page before submitting a manuscript. The Article Processing Charge (APC) for publication in this open access journal is 2400 CHF (Swiss Francs). Submitted papers should be well formatted and use good English. Authors may use MDPI's English editing service prior to publication or during author revisions.

Keywords

  • dynamical system
  • qualitative behavior
  • symmetry
  • reduction in symmetry
  • monodromy

Published Papers (1 paper)

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Research

9 pages, 1417 KiB  
Article
A Numerical Approach for Analysing the Moving Sofa Problem
by Michał Batsch
Symmetry 2022, 14(7), 1409; https://0-doi-org.brum.beds.ac.uk/10.3390/sym14071409 - 08 Jul 2022
Viewed by 3140
Abstract
This paper presents a method for obtaining the shape and area of a sofa. The proposed approach is based on a discrete solution to the equation, which states the necessary conditions for the existence of envelopes. Based on provided examples, it was proved [...] Read more.
This paper presents a method for obtaining the shape and area of a sofa. The proposed approach is based on a discrete solution to the equation, which states the necessary conditions for the existence of envelopes. Based on provided examples, it was proved that the method can be used for deriving the solutions of the posed problem. The method offers an area calculation accuracy of 1.5×108. Full article
(This article belongs to the Special Issue Geometry of Systems with Symmetry)
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