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Several results on the families of diffeomorphisms onS 1

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Abstract

In this paper, we give a necessary and sufficient condition for the one-parameter families of diffeomorphisms onS 1 to be stable and a necessary condition for the multi-parameter families to be stable; and, moreover, we prove that phase-locking is a generic property of the one-parameter families of diffeomorphisms onS 1. We also get a necessary and sufficient condition of phase-locking for the one-parameter families of integral diffeomorphisms onS 1 which strengthens a result in [2].

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  1. Department of Mathematics, Peking University, 100871, Beijing, P.R. China

    Li Weigu

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  1. Li Weigu
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Weigu, L. Several results on the families of diffeomorphisms onS 1 . Acta Mathematica Sinica 8, 266–272 (1992). https://doi.org/10.1007/BF02582915

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  • DOI: https://doi.org/10.1007/BF02582915

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