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Periodic number for Anosov maps

Periodic number for Anosov maps
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摘要 Defined on a compact metric space X an Anosov map f:X→X is a continuoussurjective selfmap which possesses the local product structure. We have shown that anAnosov map is equivalent to an expansive selfmap which has the pseudo-orbit tracingproperty. About the period and the periodic points of the Anosov map f it was knownthat N_n(f)【+∞ and cl(P(f))=Ω(f), where P(·), Ω(·), and N_n(·) indicate the periodicpoint set, nonwandering point set and the n-period number, respectively. In the present let-ter we announce a result from which one can bound the n-periodic number by a powerfunction and an exponential function.
作者 孙文祥
机构地区 Lingnan College
出处 《Chinese Science Bulletin》 SCIE EI CAS 1995年第9期788-788,共1页
关键词 文祥
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