Periodic points of latitudinal maps of the m-dimensional sphere
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2016-11
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English
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Abstract
Let 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.
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Graff, 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.2016070
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Discrete and Continuous Dynamical Systems
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