Generic 3-dimensional volume-preserving diffeomorphisms with superexponential growth of number of periodic orbits
type: Item
instance of: scholarly article
title: Generic 3-dimensional volume-preserving diffeomorphisms with superexponential growth of number of periodic orbits
zbMATH Open document ID: 1116.37016
author: Maria Saprykina
author: Vadim Kaloshin
published in: Discrete and Continuous Dynamical Systems
publication date: 2007-04-10T00:00:00Z
review text: 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.
reviewed by: Jan Andres
Mathematics Subject Classification ID: 37C35
Mathematics Subject Classification ID: 34C25
Mathematics Subject Classification ID: 37C25
Mathematics Subject Classification ID: 28D05
Mathematics Subject Classification ID: 34C20
Mathematics Subject Classification ID: 37C20
Mathematics Subject Classification ID: 37C29
zbMATH DE Number: 5141167
zbMATH Keywords: periodic orbits
zbMATH Keywords: Newhouse domains
zbMATH Keywords: normal forms
MaRDI profile type: Publication
full work available at URL: dcds.2006.15.611
OpenAlex ID: W2020649837
DOI: 10.3934/DCDS.2006.15.611
description: scientific article; zbMATH DE number 5141167