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- W1971008041 abstract "Let f be a smooth self-map of a compact manifold and be a family of compact subsets of periodic points of f. Under some natural condition on the family we find the form of the sequence of indices of iterations , which generalizes the classical theorem of Chow, Mallet-Paret and Yorke. We apply this knowledge to study the structure of periodic points of f. In particular, we show that a map f with unbounded sequence of Lefschetz numbers of iterations , which satisfies some assumption put on derivatives at periodic points, has an infinite number of minimal periods." @default.
- W1971008041 created "2016-06-24" @default.
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- W1971008041 date "2008-11-08" @default.
- W1971008041 modified "2023-09-25" @default.
- W1971008041 title "General form of fixed point indices of an iteratedC1map and infiniteness of minimal periods" @default.
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- W1971008041 doi "https://doi.org/10.1080/14689360802413929" @default.
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