Periodic points of latitudinal maps of the m-dimensional sphere

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dc.contributor.authorGraff, Grzegorz
dc.contributor.authorMisiurewicz, Michał
dc.contributor.authorNowak-Przygodzki, Piotr
dc.contributor.departmentDepartment of Mathematical Sciences, School of Scienceen_US
dc.date.accessioned2017-04-13T14:32:01Z
dc.date.available2017-04-13T14:32:01Z
dc.date.issued2016-11
dc.description.abstractLet f be a smooth self-map of the m-dimensional sphere Sm. Under the assumption that f preserves latitudinal foliations with the fibres S1, we estimate from below the number of fixed points of the iterates of f. The paper generalizes the results obtained by Pugh and Shub and by Misiurewicz.en_US
dc.eprint.versionAuthor's manuscripten_US
dc.identifier.citationGraff, G., Misiurewicz, M., & Nowak-Przygodzki, P. (2016) Periodic points of latitudinal maps of the m-dimensional sphere. Discrete and Continuous Dynamical Systems, 36(11), 6187-6199. doi:10.3934/dcds.2016070en_US
dc.identifier.urihttps://hdl.handle.net/1805/12257
dc.language.isoenen_US
dc.publisherAIMSen_US
dc.relation.isversionof10.3934/dcds.2016070en_US
dc.relation.journalDiscrete and Continuous Dynamical Systemsen_US
dc.rightsPublisher Policyen_US
dc.sourceAuthoren_US
dc.subjectperiodic pointsen_US
dc.subjecttopological degreeen_US
dc.subjectsmooth mapsen_US
dc.titlePeriodic points of latitudinal maps of the m-dimensional sphereen_US
dc.typeArticleen_US
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