Some open problems in dynamical systems
type: Item
instance of: scholarly article
title: Some open problems in dynamical systems
zbMATH Open document ID: 0910.58036
author: S. H. Smith
published in: Documenta Mathematica
publication date: 1998-08-06T00:00:00Z
full work available at URL: https://eudml.org/doc/233771
full work available at URL: Herman.MAN.html
review text: The author gives a list of open problems in dynamical systems, divided into 7 parts: 1. Siegel singular disks, 2. Invariant tori, 3. Questions of measure preserving diffeomorphisms on 2-manifolds, 4. Entropy and exponents, 5. Existence of periodic orbits, 6. Instabilities of the Hamiltonian flow on \(T^*T^n\), \(n \geq 3\), and the problem of topological stability, 7. The oldest open problem in dynamical systems (the problems here are connected with n-body problems and bounded orbits).
Mathematics Subject Classification ID: 58-00
Mathematics Subject Classification ID: 37A99
Mathematics Subject Classification ID: 37C10
Mathematics Subject Classification ID: 70F10
zbMATH DE Number: 1184289
zbMATH Keywords: dynamical systems
zbMATH Keywords: open problems
reviewed by: Yuri E. Gliklikh
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1184289