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Transactions of the American Mathematical Society

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

 

 

Generic bifurcation of periodic points


Author: K. R. Meyer
Journal: Trans. Amer. Math. Soc. 149 (1970), 95-107
MSC: Primary 34.65
DOI: https://doi.org/10.1090/S0002-9947-1970-0259289-X
MathSciNet review: 0259289
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Abstract: This paper discusses the bifurcation of periodic points of a generic symplectic diffeomorphism of a two manifold that depends on a parameter. A complete classification of the types of bifurcation that can occur in the generic case is given.


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DOI: https://doi.org/10.1090/S0002-9947-1970-0259289-X
Keywords: Generic, Baire space, Baire category, symplectic diffeomorphism, periodic points, Hamiltonian differential equations, bifurcation, stability
Article copyright: © Copyright 1970 American Mathematical Society