Set-oriented numerical computation of rotation sets
Set-oriented numerical computation of rotation sets
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Ithaca: Cornell University Library, arXiv.org
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English
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Ithaca: Cornell University Library, arXiv.org
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We establish a set-oriented algorithm for the numerical approximation of the rotation set of homeomorphisms of the two-torus homotopic to the identity. A theoretical background is given by the concept of {\epsilon}-rotation sets. These are obtained by replacing orbits with {\epsilon}-pseudo-orbits in the definition of the Misiurewicz-Ziemian rotati...
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Set-oriented numerical computation of rotation sets
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TN_cdi_proquest_journals_2074257714
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https://devfeature-collection.sl.nsw.gov.au/record/TN_cdi_proquest_journals_2074257714
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E-ISSN
2331-8422
DOI
10.48550/arxiv.1702.06190