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Generalizations of the Poincaré Birkhoff fixed point theorem

Published online by Cambridge University Press:  17 April 2009

Walter D. Neumann
Affiliation:
Department of Mathematics, University of Michigan, Ann Arbor, Michigan, USA.
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Abstract

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It is shown how George D. Birkhoff's proof of the Poincaré Birkhoff theorem can be modified using ideas of H. Poincaré to give a rather precise lower bound on the number of components of the set of periodic points of the annulus. Some open problems related to this theorem are discussed.

Type
Research Article
Copyright
Copyright © Australian Mathematical Society 1977

References

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[5]Moser, J. [Moser, J'ürgen], “On invariant curves of area preserving mappings of an annulus”, Nachr. Akad. Wiss. Göttingen Math.-Phys. Kl. II (1962), 120.Google Scholar
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[9]Simon, Carl P., (unpublished).Google Scholar
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