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Turning numbers for periodic orbits of disk homeomorphisms
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.).
2013 (English)In: Journal of Fixed Point Theory and Applications, ISSN 1661-7738, E-ISSN 1661-7746, Vol. 13, no 1, 241-258 p.Article in journal (Refereed) Published
Abstract [en]

We study braid types of periodic orbits of orientation preserving disk homeomorphisms. If the orbit has period n, we take the closure of the nth power of the corresponding braid and consider linking numbers of the pairs of its components, which we call turning numbers. They are easy to compute and turn out to be very useful in the problem of classification of braid types, especially for small n. This provides us with a simple way of getting useful information about periodic orbits. The method works especially well for disk homeomorphisms that are small perturbations of interval maps.

Place, publisher, year, edition, pages
Springer, 2013. Vol. 13, no 1, 241-258 p.
Keyword [en]
Conjugacy invariants of braids, positive permutation braids, braid types of periodic orbits
National Category
Mathematics
Identifiers
URN: urn:nbn:se:kth:diva-124997DOI: 10.1007/s11784-013-0113-8ISI: 000321251800015Scopus ID: 2-s2.0-84879784187OAI: oai:DiVA.org:kth-124997DiVA: diva2:639007
Funder
Swedish Research Council, 2010/5905
Note

QC 20130805

Available from: 2013-08-05 Created: 2013-08-02 Last updated: 2017-12-06Bibliographically approved

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  • Other locale
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