Abstract
A general theorem on Anosov maps allows us to say that in a certain sense Anosov maps that are close enough in C 2 can be considered as derived one from the other by a “change of coordinates”, which, however, is not really smooth. This is the theorem of structural stability of Anosov that can be formulated as follows.
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Bibliographical Note
Shields, P.: The theory of Bernoulli shifts, University of Chicago Press, Chicago, 1973.
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Ornstein, D., Weiss, B.: unpublished (1974).
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© 2004 Springer-Verlag Berlin Heidelberg
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Gallavotti, G., Bonetto, F., Gentile, G. (2004). Special Problems in Chaotic Dynamics. In: Aspects of Ergodic, Qualitative and Statistical Theory of Motion. Texts and Monographs in Physics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-05853-4_10
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DOI: https://doi.org/10.1007/978-3-662-05853-4_10
Publisher Name: Springer, Berlin, Heidelberg
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