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Generic Diffeomorphisms with Superexponential Growth of Number of Periodic Orbits

✍ Scribed by Vadim Yu. Kaloshin


Publisher
Springer
Year
2000
Tongue
English
Weight
215 KB
Volume
211
Category
Article
ISSN
0010-3616

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Recurrent dimensions of quasi-periodic o
✍ K. Naito πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 334 KB

In this paper we introduce recurrent dimensions of discrete dynamical systems and we give upper and lower bounds of the recurrent dimension of the quasi-periodic orbits. We show that these bounds have different values according to the algebraic properties of the frequency and we investigate these di