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| dc.contributor.author | Banasiak, Jacek
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| dc.date.accessioned | 2016-06-23T07:06:32Z | |
| dc.date.issued | 2016-07 | |
| dc.description.abstract | In recent papers it was shown that, under certain conditions, the C0-semigroup describing a flow on a network (metric graph) that contains terminal strong (ergodic) components converges to the direct sum of periodic semigroups generated by the flows on these components. In this note we shall provide an explicit description of these limit semigroups in terms of the components of the adjacency matrix of the line graph of the network. The result is based on the Frobenius–Perron theory and the estimates of long term behaviour of iterates of reducible matrices. | en_ZA |
| dc.description.department | Mathematics and Applied Mathematics | en_ZA |
| dc.description.embargo | 2017-06-30 | |
| dc.description.librarian | hb2016 | en_ZA |
| dc.description.sponsorship | National Research Foundation of South Africa, Grant No: 102275. | en_ZA |
| dc.description.uri | http://www.elsevier.com/locate/laa | en_ZA |
| dc.identifier.citation | Banasiak, J 2016, 'Explicit formulae for limit periodic flows on networks', Linear Algebra and Its Applications, vol. 500, pp. 30-42 | en_ZA |
| dc.identifier.issn | 0024-3795 | |
| dc.identifier.other | 10.1016/j.laa.2016.03.010 | |
| dc.identifier.uri | http://hdl.handle.net/2263/53370 | |
| dc.language.iso | en | en_ZA |
| dc.publisher | Elsevier | en_ZA |
| dc.rights | © 2016 Elsevier Inc. All rights reserved. Notice : this is the author’s version of a work that was accepted for publication in Linear Algebra and Its Applications. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in Linear Algebra and Its Applications, vol. 500, pp. 30-45, 2016. doi : 10.1016/j.laa.2016.03.010. | en_ZA |
| dc.subject | Transport on networks | en_ZA |
| dc.subject | Perron–Frobenius theory | en_ZA |
| dc.subject | Digraphs | en_ZA |
| dc.subject | Line graphs | en_ZA |
| dc.subject | Reducible matrices | en_ZA |
| dc.subject | Imprimitive matrices | en_ZA |
| dc.subject | C0-semigroups | en_ZA |
| dc.title | Explicit formulae for limit periodic flows on networks | en_ZA |
| dc.type | Postprint Article | en_ZA |
