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Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)

 

 

Generic stability properties of periodic points


Author: K. R. Meyer
Journal: Trans. Amer. Math. Soc. 154 (1971), 273-277
MSC: Primary 34.51
MathSciNet review: 0271490
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Abstract: A classification of the periodic points of a generic area-perserving diffeomorphism which depends on a parameter is given. The stability properties of each periodic point in the classification is decided.


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DOI: https://doi.org/10.1090/S0002-9947-1971-0271490-9
Keywords: Generic, Baire category, area-preserving, symplectic, stability, periodic point
Article copyright: © Copyright 1971 American Mathematical Society