Generic 3-dimensional volume-preserving diffeomorphisms with superexponential growth of number of periodic orbits (Q874711)
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scientific article; zbMATH DE number 5141167
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Generic 3-dimensional volume-preserving diffeomorphisms with superexponential growth of number of periodic orbits |
scientific article; zbMATH DE number 5141167 |
Statements
Generic 3-dimensional volume-preserving diffeomorphisms with superexponential growth of number of periodic orbits (English)
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10 April 2007
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The main result of this interesting paper states that, for a Baire generic diffeomorphism \(f\) in the Newhouse domain \(N\), the inequality \[ P_{n_i}(f)> a_{n_i} \] holds for some \(n_i\to\infty\) with \(i\to\infty\), where \(P_n(f)\) denotes the number of (isolated) \(n\)-periodic points and \(a_{n_i}\) are elements of a subsequence of any sequence of numbers.
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periodic orbits
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Newhouse domains
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normal forms
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