Hamiltonian suspensions of symplectomorphisms: an alternative approach to design problems
type: Item
instance of: scholarly article
title: Hamiltonian suspensions of symplectomorphisms: an alternative approach to design problems
zbMATH Open document ID: 0948.37058
DOI: 10.1016/S0167-2789(98)00279-6
author: Paul J. Channell
published in: Physica D
publication date: 1999-12-06T00:00:00Z
review text: The author deals with the problem that often arises in optics and charged particle transport systems. Note that in both cases the equations of motion are Hamiltonian, and in both cases one of them has control over what the system will actually be and one wants to specify that system. More precisely the author restricts himself to the following two mathematical problems: (a) Matching problem: For a given transformation from the input to the output to find some continuous Hamiltonian dynamics in between that produces the given transformation; (b) Design problem: For a given particular Hamiltonian, to produce many Hamiltonians that have the same time-one-map. The author finds solutions for both the matching and design problems that guarantee that the derived time-one symplectomorphism is exactly produced.
Mathematics Subject Classification ID: 37N10
Mathematics Subject Classification ID: 78A99
Mathematics Subject Classification ID: 37K05
zbMATH DE Number: 1374417
zbMATH Keywords: Hamiltonian system
zbMATH Keywords: matching and design problem
reviewed by: Messoud Efendiev
MaRDI profile type: Publication
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Wikidata QID: Q126977194
description: scientific article; zbMATH DE number 1374417