Counting periodic trajectories via topological classical mechanics
type: Item
instance of: scholarly article
title: Counting periodic trajectories via topological classical mechanics
zbMATH Open document ID: 0813.58021
DOI: 10.1016/0960-0779(94)90073-6
author: V. Pereyra
published in: Chaos, Solitons and Fractals
publication date: 1995-06-06T00:00:00Z
review text: For systems with compact phase space and isolated periodic orbits the author counts the number of periodic trajectories by applying a path- integral approach to classical Hamiltonian mechanics developed in the author's previous papers [Phys. Lett. B 201, 525-528 (1988), Phys. Rev. D 40, 3363-3377 (1989) (together with \textit{M. Reuter} and \textit{W. D. Thacker}), and Phys. Rev. D 46, 757-765 (1992) (together with \textit{M. Reuter} and \textit{W. D. Thacker})]. Namely, it is shown that the number of periodic trajectories (of the same period) in phase space is equal to the Euler number of the underlying phase space.
Mathematics Subject Classification ID: 37J99
Mathematics Subject Classification ID: 58D30
Mathematics Subject Classification ID: 70H05
Mathematics Subject Classification ID: 70G10
zbMATH DE Number: 621857
zbMATH Keywords: phase space
zbMATH Keywords: periodic trajectories
zbMATH Keywords: Euler number
reviewed by: Yuri E. Gliklikh
MaRDI profile type: Publication
full work available at URL: 0960-0779(94)90073-6
OpenAlex ID: W1983539103
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description: scientific article; zbMATH DE number 621857