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- W2023841274 abstract "We prove that if F is an analytic triangular map of type less than 2∞ in the Sharkovsky ordering, then all points are asymptotically periodic for F. The same is true if, instead of being analytic, F is just continuous but has the property that each fibre contains finitely many periodic points. Improving earlier counterexamples in Kolyada (1992) [16] and Balibrea et al. (2002) [3], we also show that this need not be the case when F is a C∞ map. Finally we remark that type less than 2∞ and closedness of periodic points are equivalent properties in the C1 setting for triangular maps." @default.
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- W2023841274 date "2010-01-01" @default.
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- W2023841274 title "Asymptotical periodicity for analytic triangular maps of type less than <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML altimg=si1.gif overflow=scroll><mml:msup><mml:mn>2</mml:mn><mml:mo>∞</mml:mo></mml:msup></mml:math>" @default.
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- W2023841274 doi "https://doi.org/10.1016/j.jmaa.2009.09.023" @default.
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