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# Generic Diffeomorphisms with Superexponential Growth of Number of Periodic Orbits

@inproceedings{VADIM1999GenericDW, title={Generic Diffeomorphisms with Superexponential Growth of Number of Periodic Orbits}, author={YU VADIM}, year={1999} }

- Published 1999

Let M be a smooth compact manifold of dimension at least 2 and Diff (M) be the space of C smooth diffeomorphisms of M . Associate to each diffeomorphism f ∈ Diff (M) the sequence Pn(f ) of the number of isolated periodic points for f of period n. In this paper we exhibit an open set N in the space of diffeomorphisms Diff (M) such for a Baire generic diffeomorphism f ∈ N the number of periodic points Pnf grows with a period n faster than any following sequence of numbers {an}n∈Z+ along a… CONTINUE READING

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